Solved: If \(\int x^3f(x)\,dx = x^4f(x) - \int x^4f'(x)\,dx\), then \(f(x)\) is:

Class: 12 Subject: Math Topic: Integrals Year: 2022

Question:

If \(\int x^3f(x)\,dx = x^4f(x) - \int x^4f'(x)\,dx\), then \(f(x)\) is:

A. \(\log x\)
B. \(e^x\)
C. \(x\)
D. \(\sin x\)

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