Use long division to evaluate the integral.
$$\int \frac { x ^ { 2 } } { x + 7 } d x$$
A) $\frac { 1 } { 2 } ( x - 21 ) ( x + 7 ) + 49 \ln | x + 7 | + C$
B) $\frac { 1 } { 2 } ( x + 21 ) ( x + 7 ) - 49 \ln | x + 7 | + C$
C) $\frac { x ^ { 2 } } { 2 } - 14 x - 147 + \ln | x + 7 | + C$
D) $\frac { x ^ { 2 } } { 2 } - 14 x + 147 + 49 \ln | x + 7 | + C$
E) $\frac { x ^ { 2 } } { 2 } + 2 x + \ln | x + 49 | + C$

Question

Quizplus · Accepted Answer

The correct answer is A because the quotient is $\frac { 1 } { 2 } ( x - 21 )$ and the remainder is 49.

Use Long Division to Evaluate the Integral ∫x2x+7dx\int \frac { x ^ { 2 } } { x + 7 } d x∫x+7x2​dx

Use Long Division to Evaluate the Integral $\int \frac { x ^ { 2 } } { x + 7 } d x$