(1)

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Step 1 :

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The integration function is $\"\"$ .

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Consider $\"\"$ .

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Differentiate with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Property of integration : $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in equation (1).

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$\"\"$

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Step 2 :

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Integration by parts: $\"\"$ .

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let $\"\"$ and $\"\"$ .

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$\"\"$ Differentiate with respect $\"\"$ .

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$\"\"$

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$\"\"$

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Substite $\"\"$ and $\"\"$ in above formula.

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Integration of exponential function : $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in equation (2).

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$\"\"$

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$\"\"$

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$\"\"$ .

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Solution :

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$\"\"$ .

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(2)

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Step 1 :

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The integration function is $\"\"$

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Integration by parts: $\"\"$ .

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Let $\"\"$ and $\"\"$ .

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$\"\"$

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Differentiate with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Integrate on both sides.

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$\"\"$

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Step 2 :

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Trigonometric function is $\"\"$ .

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Let $\"\"$ and $\"\"$ .

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$\"\"$

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Differentiate with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Integration of exponential function : $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute equation (2) in equation (1).

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$\"\"$

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Solution :

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$\"\"$ .