A student asserts that is an antiderivative of

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

A student asserts that

F(x)=\ln|x^{2}+1|

is an antiderivative of

f(x)=\dfrac{1}{x^{2}+1}

. Compute

F'(x)

and indicate, with brief justification, whether the assertion is correct.