e^ x (1-x)^ 2 (1+x^ 2 )^ 2 d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\[\int e^{x} \frac{(1-x)^{2}}{\left(1+x^{2}\right)^{2}} d x \text { is equal to }\]
- \(\frac{1}{x^{2}+1}+c\)
- \(\frac{e^{x}}{x^{2}+1}+c\)
- \(\frac{e^{x}-1}{x^{2}+1}+c\)
- \(\frac{1-e^{x}}{x^{2}+1}+c\)
Answer
(B) e^ x x^ 2 +1 +c
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