212 Answered Questions for the topic integral

#### find the volume of the solid obtained by rotating the region in the first quadrant bounded by x=0, y=1, x=y^4 about the line y=10

I just need help with the answer

11/19/20

#### Evaluate the integral ∫10 e−x−exe−x+ex dx.

Evaluate the integral∫10e-x - ex / e-x + ex dx a)ln (2/ | e-1 + e | )b)ln ( | e-1 + e | / 2)c)ln (| e-1 - e | / 2 )d)ln (2/ | e-1 - e | )

11/19/20

#### Which expression should be set as u and what is the minimum number of applications of integration by parts that can be used to evaluate this integral?

Consider the integral ∫x2 ln(x) dx and the integration by parts method ∫udv=uv − ∫vdu + C. Which expression should be set as u and what is the minimum number of applications of integration by parts...
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11/06/20

#### Honey is poured into a glass jar at a rate of r(t)=4e^(-0.35t) ounces per minute, where t is measured in minutes and 0≤t≤5. If there is 3 ounces of honey in the jar at time t=0, how much honey is in t

Honey is poured into a glass jar at a rate of r(t)=4e-0.35t ounces per minute, where t is measured in minutes and 0≤t≤5. If there is 3 ounces of honey in the jar at time , how much honey is in the...
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11/06/20

#### It can be shown that ∑_(i=1)^n i^3 =(n^2 (n+1)^2)/4. Use this fact along with the limit of Riemann sums (∑_(i=1)^n f(xi

It can be shown that ∑ni=1 i3=(n2 (n+1)2)/4. Use this fact along with the limit of Riemann sums (∑ni=1 f(xi* )∆xi ) using a regular partition of the interval [0,b] (b>0) and the right endpoints...
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Integral Integral Calculus

11/04/20

#### integrate the following question

integrate the following question :∫ (ey - y e-y ) dyPlease write the answer with explanation steps

Integral Calculus

11/02/20

#### Find the range of the function integral calculus bc

Find the range of the function . (5 points)answer choices
[0, 4π]
[0, π]
[-4, 0]
[0, 4]

Integral Calculus

10/30/20

#### CALCULUS INTEGRAL NEED HELP ASAP PLEASE THANK YOU!

The formula for the arc length from a to b of a differentiable function is . Find the length of the curve f(x) from x = 0.5 to x = 1. Your work must show the integral, but you may use your...
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#### Help me please The length, width and height of a small box are three consecutive integers, where the width

The length, width and height of a small box are three consecutive integers, where the width isthe least and the length is the greatest integer. If the width is doubled, and the length andheight are...
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#### how to use the comparison test to find p

Use the Comparison Test to determine for what values of p the integral 2 to infinity of 1 all over x raised to p times the ln(x) dx converges.

#### Geometry integration? Need step by step help

The bottom of the storage basket is a square with a side length of 20 cm. The edges tilt outwards by 2 cm whenever the height increases by 10 cm. What is the volume of the basket when the height of...
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09/29/20

#### Evaluate using trigonometric substitution

∫(dx)/(((x^2)+9)^3)just writing to fill up characters

Integral Maths

09/25/20

#### using integrals find the area of the region bounded by the line 2x-y+2=0, the x-axis and the ordinates x=-3 and x=0

Integral Calculus

09/15/20

#### shell method in calculus

Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by the graphs of the functions y=x^2, y=32-x^2 and x=1 about the y-axis.

09/04/20

#### Calculate the investment worth in 5 years using definitive integration

john whos a store manager is considering 5yr investment and estimated that t years from now it will be generating a continuous income stream of 3000 + 50t dollar per year. If the prevailing annual...
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#### The flux of the vector field F ( x , y , z ) = 3 z k across the closed rectangular box with opposing vertices at ( 0 , 0 , 0 ) and ( 6 , 5 , 7 ) is:

Using Surface Integrals, not divergence theorem, find The flux of the vector field F ( x , y , z ) = 3 z k across the closed rectangular box with opposing vertices at ( 0 , 0 , 0 ) and (...
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07/29/20

#### Integral Concepts

So I understand trig identities:Sin2x/cosx=2sinxThe above expressions are equal at all values of x except for those not defined by Sin2x/cosx (i.e. pi/2).Say one wants to integrate Sin2x/cosx from...
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07/26/20

#### Please Help me Answer ASAP!! Suppose f′(x) = √(x) sin(x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = √(x) sin(x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈ 5b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈

07/26/20

#### Suppose f′(x) = x√sin (x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = x√sin (x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈

07/26/20

#### Integral Help!! If f(x) is odd, find: int{x=-2 to x=2} f(x)dx =

Let ∫02 f(x) dx = 8If f(x) is odd, find:∫-22 f(x)dx =

07/26/20

#### If int{x=1 to x=3} (3f(x)+8) dx=14, then int{x=1 to x=3} f(x)dx = ?

If ∫13 (3f(x)+8) dx=14, then ∫13 f(x)dx =

07/25/20

#### Maclaurin Series and Term-By-Term Integration

Approximate the integral from 0 to 1 of e^(-x^2)dx with an accuracy of 10^-6 using the maclaurin series of e^x , replacement of x by -x^2, and term-by-term integration. You will have to figure out...
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