Evaluate using integration by parts.
Answer and explanation
Correct answer: A.
- Step 1: Using standard formula .
- Step 2: Here and .
- Step 3: Compute .
- Step 4: Substitute: .
Answer
\frac{e^{2x}}{13}(2\cos 3x + 3\sin 3x) + C.
Why not the others: '' has incorrect sign for sine term; '' computes instead of ; '' swaps coefficients and .
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