$\"\"$

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The definite integral is $\"\"$ .

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Find the integral by completing the squares.

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$\"\"$

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Assume $\"\"$ , then $\"\"$ .

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Differentiate on each side.

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$\"\"$ .

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Change of integral limits:

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Lower limit : If $\"\"$ then $\"\"$ .

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Upper limit : If $\"\"$ then $\"\"$ .

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Substitute corresponding values in the integral.

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$\"\"$

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Apply formula: $\"\"$ .

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Apply formula: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .