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Question

ecot1x1+x2(x2x+1) dx= _____ +c

A
ecot1x
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B
xecot1x
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C
ecot1x1+x2
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D
ecot1x
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Solution

The correct option is B xecot1x
ecot1x(x2+1x1+x2)dx=ecot1x(1x1+x2)dx
=ecot1x dxecot1x(x1+x2)dx
=ecot1xxecot1x(11+x2)x dx ecot1x(x1+x2)dx
=ecot1xx+C

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