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Evaluate the Integral 8(x1x2+2x)dx\int 8\left(\frac{x-1}{x^{2}+2 x}\right) d x A) 8(13x13lnx)+C8\left(\frac{1}{3} x-\frac{1}{3} \ln x\right)+C

Question 109

Multiple Choice

Evaluate the integral. 8(x1x2+2x) dx\int 8\left(\frac{x-1}{x^{2}+2 x}\right) d x


A) 8(13x13lnx) +C8\left(\frac{1}{3} x-\frac{1}{3} \ln x\right) +C
B) 8(lnxx) +C-8(\ln x-x) +C
C) 8(32ln(x+2) 12lnx) +C8\left(\frac{3}{2} \ln (x+2) -\frac{1}{2} \ln x\right) +C
D) 8(22arctanx) +C-8\left(\frac{\sqrt{2}}{2} \arctan x\right) +C
E)  None of these \text { None of these }

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