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mlddmlnog

  • 3 years ago

please help with this integration:

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  1. mlddmlnog
    • 3 years ago
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    \[\int\limits_{0}^{2}\sin(\frac{ \pi }{ 2 }x)dx\]

  2. mlddmlnog
    • 3 years ago
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    @zepdrix

  3. zepdrix
    • 3 years ago
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    What are you stuck on? c: Is the pi/2 confusing you?

  4. mlddmlnog
    • 3 years ago
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    yess :p

  5. zepdrix
    • 3 years ago
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    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.

  6. zepdrix
    • 3 years ago
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    If you're not quite convinced, you can do a `U sub` I suppose :)

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

  8. zepdrix
    • 3 years ago
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    k c:

  9. mlddmlnog
    • 3 years ago
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    yup i got it :) thank you as always!

  10. zepdrix
    • 3 years ago
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    yay!

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