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Class: 12
Subject: Math
Topic: Integrals
Year: 2022
Question:
If \(\int \frac{f'(x)}{f(x)}\,dx = \log |f(x)| + C\), then \(\int \frac{2x}{x^2 + 1}\,dx\) equals:
A.
\(\log |x^2+1| + C\)
B.
\(\log(x^2+1) + C\)
C.
\(\tan^{-1}(x) + C\)
D.
\(\frac{1}{x^2+1} + C\)