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Math Help - Intergration (Substitution)

  1. #1
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    Intergration (Substitution)

    Use the substitution u = 1 + sinx and intergration to show that

    integra (sinxcosx(1+sinx)^5 dx) = (1/42)(1+sinx)^6 [6sinx-1]+C

    I have tried ingetrating this by substituion then by parts twice but it still deosnt give me thr answer desired by the question, or maybe my working out is wrong.
    Last edited by Stylis10; March 25th 2008 at 05:09 AM.
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  2. #2
    Senior Member Peritus's Avatar
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    Did you try to read your post after submitting it?
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  3. #3
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    yes i did, i did wot the latex script page sed tr
    o do to create an equation usinf latex, its jus that this 1 wouldnt work
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  4. #4
    Senior Member Peritus's Avatar
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    well, If you can't write the expression in latex, write the expression without it. Because the way it's written know is kind of hard to understand...
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  5. #5
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    ok i have written the question without using latex the best i ca, hope it snow understandable
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  6. #6
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    Krizalid's Avatar
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    Well by defining u=1+\sin x\implies\frac{du}{dx}=\cos x. The rest is a matter of replacement.
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