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