AM-1949

Integrating f(ax + b)

A Math · Secondary 4 · Medium · Integrating f(ax + b)

Evaluate

\displaystyle \int \left(\dfrac{3}{2x-1} - 4x^2\right)\,dx

.

$\dfrac{3}{2}\ln|2x-1| - \dfrac{4}{3}x^3 + C$
$3\ln|2x-1| - \dfrac{4}{3}x^3 + C$
$\dfrac{3}{2}\ln|x| - \dfrac{4}{3}x^3 + C$
$\dfrac{3}{2}\ln|2x-1| - 4x^3 + C$

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