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Question

The value(s) of x5x2+1dx is/are

A
A trigonometric orrinverse trigonometric function
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B
x44x22+12ln(x2+1)+k
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C
sin3x3sin5x5+k
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D
exln(x+2)+k
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Solution

The correct option is B x44x22+12ln(x2+1)+k
I=12x2.x2.2xx2+1dx
=12(z1)2zdz=12z2+12zzdz
=12[lnz+z222z]+k
=12ln(z2+1)+(x2+1)24x21+k

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