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Math Help - intergrate: cos theta sine^6 theta

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    intergrate: cos theta sine^6 theta

    Im still trying to wrap my head around the last one. But heres another im having trouble with : cos theta sine^6 theta
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    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by dangerous_dave View Post
    Im still trying to wrap my head around the last one. But heres another im having trouble with : cos theta sine^6 theta
    Again, make a substitution u=sin\theta \rightarrow du=cos\theta d\theta. Substitute into the integral and you will now have:

    \int u^6 \,du.

    Integrate from here and substitute u back in and then you'll have your answer! Hope this helped you out!
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    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by dangerous_dave View Post
    Im still trying to wrap my head around the last one. But heres another im having trouble with : cos theta sine^6 theta
    Alternatively \int\cos(x)\sin^6(x)dx=\frac{1}{7}\int\bigg(\sin^7  (x)\bigg)'dx
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    Thank you
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