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How can integrals be wonderful -_-

They are once you know them -_=

Fancy Tricks?

@TuringTest: The first 2 are somewhat standard trick. The other two require NOT so standard trick ;)

Changing the bound may work for the first problem :)

Added the answer, so that you guys can check your result.

*
-2(u-1)

This property is nothing but a direct corollary of the mean value theorem.

MrMath I agree, but in competitive it helps though :)

Yeah sure! :)

Although, trivial lol! For the fourth one there is a inequality which you can use.

Don't give any any hint!

Lol sorry! :P

It doesn't seem so correct anymore...

3.
Refer to the attachment.

Oh Sorry.