I'd love to see various ways to solve this integral, please.



I have thought about using that



as I know that , but I'm not sure if it is OK. However, I hope someone feels like showing me various ways of doing it.

In advance, thank you for your time and help.

So:

Now use the identity:

Originally Posted by MatteNoob

I'd love to see various ways to solve this integral, please.



I have thought about using that



as I know that , but I'm not sure if it is OK. However, I hope someone feels like showing me various ways of doing it.

In advance, thank you for your time and help.

I have this way:



I'd like to point out that I don't usually use such a long and windy method, it's just that you wanted various ways of solving it.

I just noticed there's a typo on my image. For the second substitution it should have a -x/2m. See my last post.

This is another long and windy method:



Just use the cos^2(x)+sin^2(x)=1 and plug in some numbers to finish it off.

(sorry about 3 posts in a row, it's just that I can't get the image thing to pop up when I use "edit").

This is less of an integrating method and more of just rewriting the question:



One of the above methods would need to be used to solve it though.