179 Answered Questions for the topic Integration

Integration

05/07/15

Calculus (Integration)
∫ln(x) sin-1x dx
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Integration

04/21/15

the integral of sinx from 0 to t equals...
integration
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Integration

04/19/15

For inverse sin trig sub why is ok to divide denominator by constant but not numerator?
Intégral 3 d x / sqrt (4 - x^2) I think answer is 1.5 *  pi / 6 + C Teacher says 3 * pi / 6 + C He divided each term under radical by 2 but I divided numerator by 2 also.  Why can he divide just... more
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Integration

04/17/15

integration
can anyone solve these two please? when i change the first expression to the second one prior to integration, i get a different result than directly integrating the first expression!   First... more
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Integration

02/22/15

i need to sove the indefinite integral of (6x^2+4)/under root 5 of (x^3+2x-1)^3 dx
i need to solve integration of the above problem please help me solving it..
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02/18/15

Integration by u substitution help
I need to solve the indefinite integral, however it must be by the u - sub method.     ∫(x2+2)(x-1)7dx   Im guessing this is not the best way, however by tutor tells me it can be done the u sub... more
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Integration Calculus Areas

02/15/15

Find the area of the region enclosed between y=4sin(x) and y=3cos(x) from x=0 to x=0.9p. Hint: Notice that this region consists of two parts?
how do I solve this?
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Integration Calculus

02/10/15

use integration by substitution to find the indefinite integral
use integration by substitution to find the indefinite integral   ∫(x2+2)(x-1)7 dx
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Integration

01/26/15

area between curves
find the area between y=0 and y=3(x3-x) 
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12/14/14

How to find the area under multiple curves
I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows: y=x y=7 y=x2/28 The domain is [0,14] I know... more
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Integration Integrals Area Derivatives

12/14/14

How to find total area of a region
We have a parabola whose formula is y=5sin^2x and is bounded at the top by the line y=5. It is shaded under the y=5 line between x=pi/2 and x=3pi/2. How do I find the area of this shaded... more
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Integration

11/03/14

What is x^1 multiplied by x^1/2?
Trying to integrate and am having trouble with the indices. Was originally x ¹x.
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Integration

10/28/14

How do i know which part of the function i should integrate and which one to derivate when doing integration by parts?
As in, which one should i label as f(x) and which is g(x)? How should i think when i see a problem given?
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Integration Calculus Integrals Volume

10/26/14

What is the volume of the solid bounded by z=0, x+2y=4, x=vz e y=vx?
triple integrals
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Integration Calculus Integrals Volume

10/22/14

What is the volume of the surface intercepted by x^2+y^2=1 , z=2-|x| , z=0 ?
triple integrals
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Integration Math Help

09/18/14

How do you integrate 1/(x^2 + 25)^2?
I've been stuck on this question for a while. I've tried integration by parts but that doesn't help so I thought substitution would help but I don't know what to substitute it for.
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Integration Calculus U Substitution

09/08/14

integrate using "reversed" substitution
Using the substitution x=(√3)tany find the exact value of1∫3 1/√(3+x^2) dxexpressing your answer as a single logarithm in terms of y
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Integration

08/21/14

Integrate x/(x^2-5x+25)
When I substitute u=x^2-5x+25 I get du=2x-5 dx. That gets me close to x dx. I would normally just pull out 1/2, but I'm confused how to deal with the -5.  it looks like I should get a ln portion... more
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Integration Calculus Pre Calculus

04/30/14

A curve is such that dy/dx= 6/x^2 and (2,9) is a point on the curve. Find the equation of the curve.
The slope of the curve has to be found by the dy/dx= 6/x^2. It will most likely end up as a y-y1=m(x-x1) formula at the end. 
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Integration Volume By Integration

04/26/14

find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^7 about the y axis
find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^7 about the y axis
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Integration

04/11/14

can someone help me integrate the following?
∫(secθ⁄cosθ) dθ
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03/02/14

Let f(x) = integral from (-2) to (x^2-3x) of e^(t^2) dt. At what value of x is f(x) a minimum?
At what value of x is f(x) a minimum?   I know f'(x) = e^((x^2-3x)^2) , but I don't know how to continue.   Thanks!
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Integration

01/15/14

integral of dx/root of c-k/x
∫dx/(c-k/x)1/2 
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Integration Calculus

11/24/13

Find the interest earned on an interest-bearing account
Every month, a particular interest-bearing account earns 0.2 percent interest on the average balance for that month. The function B(t) =7.5t^2 -300t +5000 represents one investor's balance in this... more
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Integration Integral

10/31/13

Why is the derivative of the answer to an integral equal to the primary function which we want to take integral of? I'm looking for the concept.
I'm in a hurry to find the answer. Please help me. Thanks so much
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