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Question

Find the integral of the given function w.r.t - x

y=x1x+1x2


A

x22lnx+1x+c

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B

x22+lnx+1x+c

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C

x22lnx1x+c

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D

None of these

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Solution

The correct option is C

x22lnx1x+c


ydx=xdx1xdx+1x2dx

= x22lnxx2+12+1+c

= x22lnx1x+c


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