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(Solved): Evaluate the following integral: 0(2x+5)(x2+2x+2)5x+6dx ...

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Evaluate the following integral:

\int_{0}^{\infty} \frac{5 x + 6}{( 2 x + 5 ) ( x ^{2} + 2 x + 2 )} d x

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Expert Answer

We have given the integral

First we shall make the partial fraction

Putting , we get

Comparing the coefficients of , we get

Equating the constant terms, we get

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