Evaluate for

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Evaluate

\displaystyle\int \ln(5x)\,dx

for

x>0

. Which of the following is an antiderivative of

\ln(5x)

? (a)

x\ln(5x)-\dfrac{x}{5}+C

(b)

x\ln(5x)-x + C

(c)

\dfrac{(\ln(5x))^{2}}{2}+C

(d)

x\ln(5x)+C