How would I go about solving the following integral?

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- August 11th 2009, 05:01 PMdrew.walkerBasic (I think) integral involving sin
How would I go about solving the following integral?

- August 11th 2009, 05:46 PMTwistedOne151
Make the u-substitution:

Then , and . Thus

Completing the square will allow you to find the answer.

--Kevin C. - August 11th 2009, 05:54 PMdrew.walker
Wow. That was much more complicated than I expected. Not quite sure how you made the step to , but I'll digest everything and try and re-attempt it. Thanks for the reply.

- August 11th 2009, 06:02 PMmr fantastic
- August 12th 2009, 02:20 AMdrew.walker
I was only able to make one further step and then I hit a roadblock. After completing the square I have:

However, I don't know which rule to then use to calculate the integral. Any guidance would be greatly appreciated. - August 12th 2009, 02:28 AMmr fantastic