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Find ∫(ln⁡x)2dx\int(\ln x)^{2} d x Hint: Integrate by Parts x(ln⁡x)2+2xln⁡x−2x+Cx(\ln x)^{2}+2 x \ln x-2 x+C

Question 9

Multiple Choice

Find ∫(ln⁡x) 2dx\int(\ln x) ^{2} d x .Hint: Integrate by parts.


A) x(ln⁡x) 2+2xln⁡x−2x+Cx(\ln x) ^{2}+2 x \ln x-2 x+C
B) x(ln⁡x) 2−2xln⁡x+2x+Cx(\ln x) ^{2}-2 x \ln x+2 x+C
C) x(ln⁡x) 2−2xln⁡x+Cx(\ln x) ^{2}-2 x \ln x+C
D) x(ln⁡x) 2+2xln⁡x+Cx(\ln x) ^{2}+2 x \ln x+C

Correct Answer:

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