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Math Help - integration problem no.10

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    integration problem no.10

    integration problem no.10
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  2. #2
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    Making the recommended sub, you get:

    5-(5sin^{2}{\theta}+cos^{2}{\theta})=4cos^{2}{\theta  }

    5sin^{2}{\theta}+cos^{2}{\theta}-1=4sin^{2}{\theta}

    \sqrt{\frac{cos^{2}{\theta}}{sin^{2}{\theta}}}=\sq  rt{cot^{2}{\theta}}=cot{\theta}

    \int{cot{\theta}}d{\theta}

    Don't forget to change your limits of integration.
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