Question

please help with this integration:

Answer 1

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

Answer 2

@zepdrix

Answer 3

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

Answer 4

yess :p

Answer 5

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.

Answer 6

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

Answer 7

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

Answer 8

k c:

Answer 9

yup i got it :) thank you as always!

Answer 10

yay!