x^ 3 +3 (x+1) (x^ 2 +1 ) d x equals.
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \frac{x^{3}+3}{(x+1)\left(x^{2}+1\right)} d x\) equals.
- x + loge |x + 1| – loge (x2 + 1) + cot–1 x + c
- x – loge |x + 1| + loge (x2 + 1) + tan–1 x + c
- x + loge |x + 1| – loge (x2 + 1) + tan–1 x + c
- x – loge |x + 1| – loge (x2 + 1) – tan–1 x + c
Answer
(C) x + log e | x + 1| – log e ( x 2 + 1) + tan –1 x + c
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