Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx

Answers

Answer 1

We need to find the integration of (36x²)x.dx .

We know,

[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]

Now,

[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]

Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .

Hence, this is the required solution.


Related Questions

can someone please help? i need to find the slope of a line. it’s for a test!

Answers

Answer:

Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

The slope is 2/3

Step-by-step explanation:

The equation that the graph gives us is y = 2/3x + 3.

With this equation, we know that the slope is 2/3.

Bonus:

With this equation, we also know that the y-intercept is 3.

Easy math problem help me.I will give brainliest

Answers

Answer:

25

Step-by-step explanation:

3x - 6 + 4 = -20
Solve the multi-step equation and place the steps in the correct order.
ITEM BANK: Move to Bottom
3x - 2 = -20
3x - 6 + 4 = -20
3x = -18
x = -6
1
drag and drop answer here
2
drag and drop answer here
3
drag and drop answer here
4
drag and drop answer here

Answers

3x-6+4=-20
3x-2= -20
3x=-18
x=-6

SOMEONE PLEASE HELP ASAP!!!​

Answers

Answer:

Step-by-step explanation:

Recall that (a-b)(a+b) = a^2 - b^2

So,

(x-2i)(x+2i) = x^2 - (2i)^2 = x^2+4

(x+i-i)(x+1+i) = (x+1)^2 + 1 = x^2 + 2x + 2

(x-2+2i)(x-2-2i) = (x-2)^2 + 4 = x^2 - 4x + 8

2/7 divided by 8/9. HURRY

Answers

Answer:

9/28 in fraction , 0.3214285714 in decimal

Step-by-step explanation:

0.32142857142 in decimal form

South America's greatest river system is the ___________.

Mississippi-Missouri
Nile
Amazon
Rhine

Answers

Answer:

amazon

Step-by-step explanation:

its the biggest

Amazon is the answer :)

sally has $15,208 and wants to buy a tv for 16,000 round 15,208 to the nearest hundred

Answers

Answer:

15,200

Step-by-step explanation:

Answer:

15,200

Step-by-step explanation:

208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number

plz help me find x!!!!!!!!!!!!!!!!

Answers

Answer:

A: 45

B: 110

C: 25

Step-by-step explanation:

all angles of a triangle always add together to make 180

x + 25 + x + 65 = 180

combine like terms

2x + 90 = 180

subtract 90 from both sides of the equation

2x = 180 - 90

divide both sides of the equation by 2

x = 90/2

x = 45

Which choice is the correct answer for: 2.78 * 6?

12.78
16.28
13.18
16.68

Answers

Answer:

16.68

Step-by-step explanation:

You can either enter it into the calculator or do it the long way.

Solve 6y + 2x = 14 for x.

Answers


X= 7-3y

X has to be on one side

6y+2x =14
2x= 14-6y
X= 7-3y

Now we can plug that into the original equation (check)

6y + 2(7-3y)
6y+ 14-6y
14=14

X= 7-3y

Hope this helps!

For babysitting, Zou Jing charges a flat fee of $10, plus $15 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours? How many hours does Zou Jing need to babysit to afford a PS5 ($500)?

Answers

Answer:

C=5h+3 when h=5

C=28

Step-by-step explanation:

what is the denominator of 7/2 and 1/2?​

Answers

9514 1404 393

Answer:

  the denominator of each fraction is 2

Step-by-step explanation:

The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...

  [tex]\dfrac{7}{2}[/tex]

the numerator is 7, and the denominator is 2.

__

Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...

  [tex]\dfrac{1}{2}[/tex]

The numerator is 1, and the denominator is 2.

_____

The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:

  [tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]

will made his mini pecan tarts for the southern themed school party he bought 20 pounds (320 ounces) of pecans for $78.40 he put 2 ounces of pecans in each pecan tart he made what was the cost of the pecans in each mini pecan tart

Answers

Answer:0.49$

Step-by-step explanation:

so now lets take a look. 320/2=160. 7840/160=49, so one pecan is 49 cents, or 0.49$

4/5 of the cake was left, but after Brian ate some only 1/4 of the cake was left. Which fraction of the cake did Brian eat?

Answers

Answer:

3/4

Step-by-step explanation:

there was 4/5 you just had to minis 3and 4

Which pair of numbers has the greatest common factor of 3?

3 and 12
3 and 33
4 and 9
9 and 12

Answers

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

Use the image to answer the question below. 10 8 A B 10 8 10 -10 Which series of transformations would result in a figure that is congruent to the triangle ABC?​

Answers

Answer:

c b a

Step-by-step explanation:

Answer:

cba

Step-by-step explanation:

sorry if its wrong

15/16 pi radians in degrees

Answers

Answer:

960 degrees

Step-by-step explanation:

16pi/3 times 180/pi

16/3 times 180

16 times 60= 960

hope this helps!!

Answer:

168

Step-by-step explanation:

e2020

What does 3g=
In math 8th grade

Answers

Answer:

3g can mean several things, depending on the context of the problem. g can be a variable, but it can also mean "grams"

Step-by-step explanation:

A. 48+1.2m>40
B. 40+1.2m<48
C. 48+1.2m<40
D. 40+1.2m>48

Answers

I think the answer is d
B is your answer because 40+1.2m is less than 48.

whats the square root of 10?? For each to the nearest 0.05.​

Answers

Answer:

3.16(i think)

Step-by-step explanation:

Do these ratios make a proportion? 4:10 and 6:15

I NEED THIS ASAP!!! Thanks!

Answers

To see if these ratios make a proportion let us first change them into fractions

= 4:10 = 4/10 = 4 ÷ 2 / 10 ÷ 2 = 2/5

= 6:15 = 6/15 = 6 ÷ 3 / 15 ÷ 3 = 2/5

= Since both these ratios are getting simplified into a same fraction , they are proportional .

Therefore , 4 : 10 :: 6 : 15 ( 4 : 10 is proportional to 6 : 15 )

2/3-3/5 = ?/15-?/15

Answers

Answer:

10/15-9/15

Step-by-step explanation:

Answer:

2/3-3/5=10/15-9/15

Step-by-step explanation:

You want a common denominator which here is 15. To get to 15 in 2/3 you needed to multiply by 5 and in 3/5 you needed to multiply by 3.

If points A,B and C are collinear, determine the value of x in the diagram.

Answers

Answer:

x equal four-teen... I'm pretty sure brainliest plsss

A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college students at her university, selects 500 of them at random, and emails a questionnaire to them 107 questionnaires are returned. Of these, 71% stated that they believe that the federal student loan program needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced.
Population
all undergraduate college students all researcher's university
the 1196 undergraduate college students whose names were obtained
the proportion of all undergraduate college students at the researcher's university who believe that the federal student loan program needs to be completely overhauled
Sample
the 500 undergraduate college students who were randomly choosen
the 71% who stated that the federal student loan program needs to be completely overhauled

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Population

All undergraduate college students at the  researcher's university ,

Sample

The 107 undergraduate college students who returned the questionnaire

Step-by-step explanation:

From the question we are told that

   The list of undergraduate college students obtained from her university is  n= 1196

     The number of student that are randomly selected is  n =  500

      The number of e-mail that was returned is  k = 107

     The proportion that believes that the federal student loan program needs to be completely overhauled is  [tex]\^{p} = 0.71[/tex]

Generally the population for this particular study is

All undergraduate college students at the  researcher's university ,

this is because they are the total pool of data from which the statistical sample are randomly selected from

Generally the sample for this particular study is

The 107 undergraduate college students who returned the questionnaire

 this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial  aid

Square the following numbers 4,6,13,10

Answers

Answer:

16 36 169 100

Step-by-step explanation:

Answer:

16, 32, 169, 100

Step-by-step explanation:

A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?

Answers

Answer: 20

Step-by-step explanation:

Answer:

20 gal of gas

Step-by-step explanation:

200÷10=

20

Please help me!! Find the distance between points (-7,-4) and (-2,0)

Answers

Answer:

This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.

Step-by-step explanation:

What is 0.4 as a decimal

Answers

Answer: 0.40 and 40%

Answer:

40%

Step-by-step explanation:

The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?

Correct: Your answer is correct.
ft

(b) What is the maximum height of the punt? (Round your answer to two decimal places.)

Incorrect: Your answer is incorrect.
ft

(c) How long is the punt? (Round your answer to two decimal places.)

Incorrect: Your answer is incorrect.
ft

Answers

Step-by-step explanation:

C is the answer of your question

Write in slope intercept form:
(-3,7) and (6,-8)

Answers

Answer:

[tex]y=-\frac{5}{3}x+2[/tex]

Step-by-step explanation:

So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.

Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]

So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).

[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]

Distribute the -5/3 on the right side.

[tex]y-7=-\frac{5}{3}x-5[/tex]

Add 7 to both sides.

[tex]y=-\frac{5}{3}x+2[/tex]

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3,7) and (6,-8)

m=-8-7/6-(-3)

m=-15/6+3=-15/9

m=-5/3

Now let us find the y intercept b.

7=-5/3(-3)+b

7=5+b

b=7-5

b=2

The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)

y=-5/3x+2

Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

To learn more on slope of line click:

https://brainly.com/question/14511992

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