\(\int e^{x}\left[f(x)+f^{\prime}(x)\rig

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

\(\int e^{x}\left[f(x)+f^{\prime}(x)\right]dx\) equals

Options:

\(e^{x} f(x)+C\)

\(e^{x}f^{\prime}(x)+C\)

\(e^{x}f(x)+f^{\prime}(x)+C\)

None

Correct Answer:

\(e^{x} f(x)+C\)

Explanation:

Integration by parts