$\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$
$\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
}
Consider that, $I = \int {\frac{{(1 + \cos x)}}{{(x + \sin x)}}} dx$
Let $x + \sin x = t \Rightarrow (1 + \cos x)dx = dt$
therefore,$I = \int_t^1 d t = \log |t| + C$
$= \log |(x + \sin x)| + C$
Community Answers (0)
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.