🛠️ JEE➗ Maths

If \(\int \frac{e^x(1+\sin x) d x}{1+\cos x}=\mathbf{e}^x \mathbf{f}(\mathbf{x})+\mathbf{C}\), then \(\mathbf{f}(\mathbf…

Q1

If \(\int \frac{e^x(1+\sin x) d x}{1+\cos x}=\mathbf{e}^x \mathbf{f}(\mathbf{x})+\mathbf{C}\), then \(\mathbf{f}(\mathbf{x})\) is equal to

a

\(sin\frac{x}{2}\)

b

\(cos\frac{x}{2}\)

c

\(tan\frac{x}{2}\)

d

\(\log \frac{x}{2}\)

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