Question:medium
\( \int e^x (\sin x + 2 \cos x) \sin x \, dx \) is equal to:
\( \int e^x (\sin x + 2 \cos x) \sin x \, dx \) is equal to:
Show Hint
The derivative of $\sin^2 x$ is $\sin 2x$. Recognizing this relationship immediately solves many $e^x$ integration problems involving squares of trigonometric functions.
Updated On: May 6, 2026
- \( e^x \cos x + C \)
- \( e^x \sin x + C \)
- \( e^x \sin^2 x + C \)
- \( e^x \sin 2x + C \)
- \( e^x (\cos x + \sin x) + C \)
Show Solution
The Correct Option is C
Solution and Explanation
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