anonymous
  • anonymous
please help with this integration:
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{0}^{2}\sin(\frac{ \pi }{ 2 }x)dx\]
anonymous
  • anonymous
@zepdrix
zepdrix
  • zepdrix
What are you stuck on? c: Is the pi/2 confusing you?

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anonymous
  • anonymous
yess :p
zepdrix
  • zepdrix
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
  • zepdrix
If you're not quite convinced, you can do a `U sub` I suppose :)
anonymous
  • anonymous
ahh Thanks for the explanation :) i'll try to do this on my own then see if the answers match up.
zepdrix
  • zepdrix
k c:
anonymous
  • anonymous
yup i got it :) thank you as always!
zepdrix
  • zepdrix
yay!

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