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    Hi.
    https://983c9f06eb1f75af6e83364e092b...20C4%20OCR.pdf
    How do i go about starting question 10(i).
    The x=sin(theta) is confusing me a bit.
    thanks

    Note: I know i still need to change the boundaries..:Name:  IMG_0243.jpg
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    The integral is
     \int \displaystyle \frac{1}{(1-x^2)^{3/2}} .
    You have written it down wrong.
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    (Original post by B_9710)
    The integral is
     \int \displaystyle \frac{1}{(1-x^2)^{3/2}} .
    You have written it down wrong.
    Thanks for spotting this.
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    So you are all fine now?
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    The 3/2 on the bottom of the integral would become negative on the top.

    Cos^2 theta - sin^2 theta = cos (2theta)
    Cos^2 theta + sin^2 theta = 1

    Cos^2 theta = (1+cos (2theta))/2

    This can then be integrated
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    Yeah. Thanks for the help i was able to do it eventually.
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    https://983c9f06eb1f75af6e83364e092b...20C4%20OCR.pdf

    How do i got about question 7 (i)?
    What should cosecx by changed to before differentiating?
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    change cosec to (sin x)^{-1} and then apply the chain rule / composite function rule

    BTW, that is a new post really.
 
 
 
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