The integral function is

Rewrite the function.

Let .

Apply derivative on each side with respect to .

Substitute , and in the integral function.

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Consider and

Case (i) :

Let

Apply derivative on each side with respect to .

Substitutes and  in the integral function.

Power rule of integral :.

Substitutes and  in the above equation.

Case (ii) :

Let

Apply derivative on each side with respect to .

Substitute and  in the integral function.

Trignometric property : .

Integration formula : .

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Substitute and in the integral function.

then .

Substitute and in the integral.

.

Substitute the results of and in equation .

Substitute in the integral function.

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