MCQ
$\int {{e^{\sin x}}\left( {\sin x + {{\sec }^2}x} \right)} \,dx$ is equal to
- ✓${e^{\sin x}}.\tan x + C$
- B${e^{\sin x}}.\sec x + C$
- C${e^{\sin x}}.\cot x + C$
- DNone of these
✓
Answer
Correct option: A.
${e^{\sin x}}.\tan x + C$
a
$\begin{array}{l}
\int {{e^{\sin x}}\left( {\cos x\tan x + {{\sec }^2}x} \right)} \,dx\\
= {e^{\sin x}}\tan x + C
\end{array}$
$\begin{array}{l}
\int {{e^{\sin x}}\left( {\cos x\tan x + {{\sec }^2}x} \right)} \,dx\\
= {e^{\sin x}}\tan x + C
\end{array}$
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