How can we find the integral with the substitution ?

I know how to find the integral, but the limits become the same sin(0) = sin(pi) = 0.

What should I do in general when a given substitution makes upper bound = lower bound?

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- Apr 30th 2011, 09:05 PMHardworkTrig substitution
How can we find the integral with the substitution ?

I know how to find the integral, but the limits become the same sin(0) = sin(pi) = 0.

What should I do in general when a given substitution makes upper bound = lower bound? - Apr 30th 2011, 09:21 PMTheChaz
- Apr 30th 2011, 09:24 PMchisigma
Is...

http://quicklatex.com/cache3/ql_0a43...4bcb647_l3.png

http://quicklatex.com/cache3/ql_5801...1eb2dab_l3.png

... so that, no matter which 'substitution' You do, the integral is 0...

Kind regards

- May 2nd 2011, 01:32 AMHardwork
Okay. I do see how the integral is zero. I just want to know what to do in general when a substitution makes the limits the same.