Integration by using substitution

Limits, differentiation, related rates, integration, trig integrals, etc.
mathlover66
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Integration by using substitution

Postby mathlover66 » Sun May 02, 2010 1:44 am

I was working on integrating volumes, then I ran into this problem.

How can I integrate this problem by using substitution? I forgot some of these concepts.

I have

pi integral from 0 to 1 (1-x^3)^2 dx - pi integral from 0 to 1 (1-sqrt(x))^2 dx

I got the first part, but I need help with the second part.

I am trying to integrate just this problem by using substitution => pi integral from 0 to 1 (1-sqrt(x))^2 dx

How do you do it?

Thank you for your time. I truly appreciate it.

buddy
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Re: Integration by using substitution

Postby buddy » Sun May 02, 2010 3:40 pm

cant yo7u square it out? integrate 1-2sqrtx+x=1-2x^(1/2)+x. :lol:

mathlover66
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Joined: Sun Mar 07, 2010 11:42 pm
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Re: Integration by using substitution

Postby mathlover66 » Sun May 02, 2010 4:25 pm

Thanks!

I appreciate it!

Now that makes sense.


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