The integral is .

Solve the integral using partial fractions.

Cancel common terms.

Find the values of  and  values by equating coefficients.

Equate  coefficients.

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Equate  coefficients.

.

Equate constant terms.

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Substitute  in .

.

Substitute ,  and  in .

.

Apply sum and difference formula : .

Apply formula :.

Apply formula : .

The value of the integral is .

Graph :

Consider the function  on the interval .

Graph the function .

Observe the graph :

.

The value of integral is .