$\text { Use partial fractions to find the integral } \int \frac { 12 x ^ { 2 } + 5 x + 225 } { x ^ { 3 } + 25 x } d x$
A) $9 \ln | x | + ( 3 x + 5 ) \ln \left( x ^ { 2 } + 25 \right) + C$
B) $9 \ln | x | + 3 \ln | x + 5 | + 5 \ln | x - 5 | + C$
C) $9 \ln | x | + \frac { 3 } { 2 } \ln \left( x ^ { 2 } + 25 \right) + \arctan \left( \frac { x } { 5 } \right) + C$
D) $9 \ln | x | + \frac { 3 } { 2 } \ln \left( x ^ { 2 } + 25 \right) + C$
E) $237 \ln | x | - \frac { 5 } { x } + C$

Question

$\text { Use partial fractions to find the integral } \int \frac { 12 x ^ { 2 } + 5 x + 225 } { x ^ { 3 } + 25 x } d x$ 
A) $9 \ln | x | + ( 3 x + 5 ) \ln \left( x ^ { 2 } + 25 \right) + C$
B) $9 \ln | x | + 3 \ln | x + 5 | + 5 \ln | x - 5 | + C$
C) $9 \ln | x | + \frac { 3 } { 2 } \ln \left( x ^ { 2 } + 25 \right) + \arctan \left( \frac { x } { 5 } \right) + C$
D) $9 \ln | x | + \frac { 3 } { 2 } \ln \left( x ^ { 2 } + 25 \right) + C$
E) $237 \ln | x | - \frac { 5 } { x } + C$

Quizplus · Accepted Answer

The Answer of $\text { Use partial fractions to find the integral } \int \frac { 12 x ^ { 2 } + 5 x + 225 } { x ^ { 3 } + 25 x } d x$ 
A) $9 \ln | x | + ( 3 x + 5 ) \ln \left( x ^ { 2 } + 25 \right) + C$
B) $9 \ln | x | + 3 \ln | x + 5 | + 5 \ln | x - 5 | + C$
C) $9 \ln | x | + \frac { 3 } { 2 } \ln \left( x ^ { 2 } + 25 \right) + \arctan \left( \frac { x } { 5 } \right) + C$
D) $9 \ln | x | + \frac { 3 } { 2 } \ln \left( x ^ { 2 } + 25 \right) + C$
E) $237 \ln | x | - \frac { 5 } { x } + C$

Use partial fractions to find the integral ∫12x2+5x+225x3+25xdx\text { Use partial fractions to find the integral } \int \frac { 12 x ^ { 2 } + 5 x + 225 } { x ^ { 3 } + 25 x } d x Use partial fractions to find the integral ∫x3+25x12x2+5x+225​dx

$\text { Use partial fractions to find the integral } \int \frac { 12 x ^ { 2 } + 5 x + 225 } { x ^ { 3 } + 25 x } d x$