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Question

x.(xx)x.(2 log x+1)dx is equal to

A
x(xx)+C
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B
(xx)x+C
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C
xx.log x+C
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D
None of these
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Solution

The correct option is B (xx)x+C
x.(xx)x.(2 log x+1)dx
(xx)x=xx2
xx2=t
x2 log x=log t
(2x log x+x)dx=1tdt
x(2 log x+1)dx=1xdt
=t.1tdt
=t+c
=(xx)x+c

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