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Use Long Division to Evaluate the Integral x2x+3dx\int \frac{x^{2}}{x+3} d x

Question 17

Multiple Choice

Use long division to evaluate the integral. x2x+3dx\int \frac{x^{2}}{x+3} d x


A) 12(x9) (x+3) +9lnx+3+C\frac{1}{2}(x-9) (x+3) +9 \ln |x+3|+C
B) 12(x+9) (x+3) 9lnx+3+C\frac{1}{2}(x+9) (x+3) -9 \ln |x+3|+C
C) x226x27+lnx+3+C\frac{x^{2}}{2}-6 x-27+\ln |x+3|+C
D) x226x+27+9lnx+3+C\frac{x^{2}}{2}-6 x+27+9 \ln |x+3|+C
E) x22+2x+lnx+9+C\frac{x^{2}}{2}+2 x+\ln |x+9|+C

Correct Answer:

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