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Math Help - Some help with evaluating integrals

  1. #1
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    Some help with evaluating integrals

    There are some problems that are confusing me when it comes to evaluating integrals:

    http://www.webassign.net/www21/symIm...3accf0390f.gif

    so obviously..the antiderivative of the denominator is the inverse sine of x but..and then the whole thing would be 9x/sin-1x?
    if that's so then I keep getting the wrong answer. What am I doing wrong?

    and how would i find the derivative of this function: http://www.webassign.net/www22/symIm...2415e68a78.gif

    this one confused me a lot.

    i'll take all the help i can get! thank you so much in advance
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    Quote Originally Posted by mnm1390 View Post
    There are some problems that are confusing me when it comes to evaluating integrals:

    http://www.webassign.net/www21/symIm...3accf0390f.gif

    so obviously..the antiderivative of the denominator is the inverse sine of x but..and then the whole thing would be 9x/sin-1x?
    if that's so then I keep getting the wrong answer. What am I doing wrong?
    the antiderivative is 9arcsin(t), not 9/arcsin(t).

    and how would i find the derivative of this function: http://www.webassign.net/www22/symIm...2415e68a78.gif

    this one confused me a lot.
    FTC ... \frac{d}{dx} \int_a^u f(t) \, dt = f(u) \cdot \frac{du}{dx}
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