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Math Help - integral

  1. #1
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    integral

    How do i start this problem
    ∫ 8 csc(8x-9)dx
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  2. #2
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    \int \csc{u} \, du = -\ln|\csc{u} + \cot{u}| + C
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  3. #3
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    i don't understand?
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  4. #4
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    you don't know the antiderivative for the cosecant function?
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  5. #5
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    no im sorry i sooooo lost. Can u show me step by step the test is 2morrow
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  6. #6
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    skeeter continue plz this is helping me out as well
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  7. #7
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    this one to
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  8. #8
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    hey bigton we are in the same boat
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  9. #9
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    this is an indfintie and definite integral evaluation problem
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by theflyingcow View Post
    How do i start this problem
    ∫ 8 csc(8x-9)dx
    the straight forward way to do this is by substitution.

    let u = 8x - 9

    \Rightarrow du = 8~dx

    and low and behold, we have 8~dx in our integrand

    thus, our integral becomes \int \csc u~du
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  11. #11
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    so how do u continue it because i thought the 8 would be in front of the integral
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  12. #12
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by theflyingcow View Post
    so how do u continue it because i thought the 8 would be in front of the integral
    \int\csc(ax+b)dx\overbrace{\mapsto}^{u=ax+b}\frac{  1}{a}\int\csc(u)du

    Let v=2\arctan(v) to find the second integral
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  13. #13
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    wow i never heard of arc
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  14. #14
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by theflyingcow View Post
    wow i never heard of arc
    \arctan(x)=\tan^{-1}(x)
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  15. #15
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    but my teacher never used inverse tan
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