/x²+2x+2 equals - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Choose the correct answer in Exercises 109 and 110.

Question : 109 of 271

Marks: +1, -0

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

equals

Solution:

Let

I=\int\frac{dx}{x^2+2x+2}

=\int\frac{dx}{(x+1)^2+1}

=\tan^{-1} (x + 1) + C

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