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

Question 48

Multiple Choice

Use long division to evaluate the integral.
x2x+7dx\int \frac { x ^ { 2 } } { x + 7 } d x


A) 12(x21) (x+7) +49lnx+7+C\frac { 1 } { 2 } ( x - 21 ) ( x + 7 ) + 49 \ln | x + 7 | + C
B) 12(x+21) (x+7) 49lnx+7+C\frac { 1 } { 2 } ( x + 21 ) ( x + 7 ) - 49 \ln | x + 7 | + C
C) x2214x147+lnx+7+C\frac { x ^ { 2 } } { 2 } - 14 x - 147 + \ln | x + 7 | + C
D) x2214x+147+49lnx+7+C\frac { x ^ { 2 } } { 2 } - 14 x + 147 + 49 \ln | x + 7 | + C
E) x22+2x+lnx+49+C\frac { x ^ { 2 } } { 2 } + 2 x + \ln | x + 49 | + C

Correct Answer:

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