$\"\"$

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The integral is $\"\"$ .

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The indicated trignometric subustitution is $\"\"$ .

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Subustiute $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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Trigonometric identity : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$ .

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$\"\"$

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Subustiute $\"\"$ and $\"\"$ in the integral.

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$\"\"$

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Sum and difference rule of integration : $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the above integral.

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$\"\"$ .

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$\"\"$

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The indicated trignometric subustitution is $\"\"$ .

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$\"\"$

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In the right triangle $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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Therefore, substitute $\"\"$ in equation $\"\"$ .

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$\"\"$

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$\"\"$ .

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Associate Right Triangle :

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$\"\"$

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$\"\"$

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$\"\"$ .