$\"\"$

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The integral is $\"\"$ .

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From the trigonometric substitution $\"\"$ , $\"\"$ .

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$\"\"$ limits change from $\"\"$ and $\"\"$ .

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Limits of integration will change from $\"\"$ to $\"\"$ to $\"\"$ .

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$\"\"$ .

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From the Pythagorean 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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Let $\"\"$ , $\"\"$ .

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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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$\"\"$

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$\"\"$ .