A student claims that is an antiderivative of

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A student claims that

F(x)=\dfrac{1}{x}

is an antiderivative of

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

. Show whether the claim is correct. If it is incorrect, write the correct antiderivative, including the constant of integration.