Question: Evaluate ∫ln 15x dx.


A ) ln 15x - x + C
B ) x ln 15x + x + C
C ) x ln 15x + C
D ) x ln 15x - x + C

Steps to derive

1 ∫ln 15x dx = x ln 15x - ∫(x)1xdx = x ln 15x - ∫dx
 [Use integration by parts.]

2 = x ln 15x - x + C
 [Use ∫dx = x + C.]



Hence the right answer is Option D

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