If \(\int g(x)dx=g(x)+c\), then \(\int g - CUETMOCK

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Home Questions KHKCM54SSS

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

If \(\int g(x)dx=g(x)+c\), then \(\int g(x)[f(x)+f^{'}(x)]dx=\)

Options:

\(g(x)f(x)-g^{'}(x)+c\)

\(g(x)f^{'}(x)+c\)

\(g(x)f(x)+c\)

\(g^{'}(x)f^{'}(x)+c\)

Correct Answer:

\(g(x)f(x)+c\)

Explanation:

Assume \(g(x)=e^x\)

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