please help with this integration:

Question

anonymous · Answer

$$\int\limits_{0}^{2}\sin(\frac{ \pi }{ 2 }x)dx$$

anonymous · Answer

@zepdrix

zepdrix · Answer

What are you stuck on? c: Is the pi/2 confusing you?

anonymous · Answer

yess :p

zepdrix · Answer

Think about the derivative for a sec,
If you took the derivative of this term, you'd have to apply the chain rule.
The derivative of the inside would give you an extra pi/2 on the outside.

When we integrate, the opposite should happen :D
We'll divide by that coefficient to compensate for the pi/2 that would normally show up due to the chain rule.

zepdrix · Answer

If you're not quite convinced, you can do a `U sub` I suppose :)

anonymous · Answer

ahh Thanks for the explanation :)
i'll try to do this on my own then see if the answers match up.

zepdrix · Answer

k c:

anonymous · Answer

yup i got it :) thank you as always!

zepdrix · Answer

yay!