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Find the Integral (1x+2x2+3x3)dx\int\left(\frac{1}{x}+\frac{2}{x^{2}}+\frac{3}{x^{3}}\right) d x A) 2x+2lnx2+3lnx3+C2 x+2 \ln \left|x^{2}\right|+3 \ln \left|x^{3}\right|+C

Question 42

Multiple Choice

Find the integral.
- (1x+2x2+3x3) dx\int\left(\frac{1}{x}+\frac{2}{x^{2}}+\frac{3}{x^{3}}\right) d x


A) 2x+2lnx2+3lnx3+C2 x+2 \ln \left|x^{2}\right|+3 \ln \left|x^{3}\right|+C
B) lnx+2lnx2+3lnx3+C\ln |x|+2 \ln \left|x^{2}\right|+3 \ln \left|x^{3}\right|+C
C) lnx2x132x2+C\ln |x|-2 x^{-1}-\frac{3}{2 x^{-2}}+C
D) 2x2+6x3+12x4+C\frac{2}{x^{2}}+\frac{6}{x^{3}}+\frac{12}{x^{4}}+C

Correct Answer:

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