## Integration by using substitution

Limits, differentiation, related rates, integration, trig integrals, etc.
mathlover66
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Joined: Sun Mar 07, 2010 11:42 pm
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### Integration by using substitution

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
Posts: 197
Joined: Sun Feb 22, 2009 10:05 pm
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### Re: Integration by using substitution

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

mathlover66
Posts: 2
Joined: Sun Mar 07, 2010 11:42 pm
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### Re: Integration by using substitution

Thanks!

I appreciate it!

Now that makes sense.