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Question

If I=1x2log(x2+a2)dx, then I equals

A
1xlog(x2+a2)+2tan1(xa)+C
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B
1xlog(x2+a2)+2atan1(xa)+C
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C
1xlog(x2+a2)+2acot1(xa)+C
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D
none of these
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Solution

The correct option is B 1xlog(x2+a2)+2atan1(xa)+C
I=1x2log(x2+a2)dx=1xlog(x2+a2)+1x2xx2+a2dx=1xlog(x2+a2)2atan1(xa)+c

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