Evaluate the integral dx x^ 2 +2a x + a^ 2

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Evaluate the integral ∫dxx2+2axcos⁡α+a2,\boxed{\displaystyle\int \frac{dx}{x^{2}+2a x\cos \alpha + a^{2}}}, where a  (≠0)a\;(\neq 0) and α\alpha are fixed real constants. Provide your answer in its simplest form, including the constant of integration CC.

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