AM-2133

Definite integrals

A Math · Secondary 4 · Hard · Definite integrals

Evaluate the definite integral

\displaystyle \int_{0}^{1} \dfrac{4x}{(2x+3)^2}\,dx

.

$\ln\dfrac{5}{3} - \dfrac{2}{5}$
$\ln\dfrac{5}{3} + \dfrac{2}{5}$
$\ln\dfrac{3}{5} - \dfrac{2}{5}$
$\ln\dfrac{3}{5} + \dfrac{2}{5}$

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