AM-1938

Integrating standard functions

A Math · Secondary 4 · Hard · Integrating standard functions

Given

\int (4-6x)^5\,dx = -\dfrac{(4-6x)^6}{36} + C

, evaluate

\int x(4-6x)^5\,dx

.

$-\dfrac{(9x+1)(4-6x)^6}{378}+C$
$-\dfrac{(4-6x)^6}{36}+C$
$\dfrac{x(4-6x)^6}{36}+C$
$-\dfrac{x(4-6x)^6}{6}+C$

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