Identify u and dv for finding the integral using integration by parts. $\int x ^ { 3 } \ln 9 x$ dx
A) $u = \int \ln 9 x$ dx; $d v = \int x ^ { 3 }$ dx
B) $u = \ln 9 x , d v = x ^ { 3 } d x$
C) $u = \int \ln 9 x , d v = x ^ { 3 } d x$
D) $u = \ln 9 x , d v = \int x ^ { 3 } d x$
E) $u = \int \ln 9 x , d v = \int x ^ { 3 } d x$

Question

Quizplus · Accepted Answer

In integration by parts, $u$ is a function and $dv$ is a differential. The choice that correctly identifies $u$ as $\ln 9x$ and $dv$ as $x^3 dx$, which are both in their proper forms for integration by parts, is option B.

Identify U and Dv for Finding the Integral Using Integration ∫x3ln⁡9x\int x ^ { 3 } \ln 9 x∫x3ln9x

Identify U and Dv for Finding the Integral Using Integration $\int x ^ { 3 } \ln 9 x$