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Q24  Choose the correct answer 

        \int \frac{dx }{x^2 + 2x +2 }\: \: equals

         (A) x \tan^{-1} (x + 1) + C\\\\ (B) \tan^{-1} (x + 1) + C\\\\ (C) (x + 1) \tan^{-1}x + C \\\\ (D) \tan^{-1}x + C

Answers (1)

best_answer

The correct option is (B)

\int \frac{dx }{x^2 + 2x +2 }\: \: equals
the denominator can be written as  (x+1)^2+1
                                                        now, \int \frac{dx}{(x+1)^2+1} = tan^{-1}(x+1)+C

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manish

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