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Question

Evaluate: 1(x+2)x+1dx

A
2tan1(x+1)+c
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B
tan1(x1)+c
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C
2tanh1(x+1)c
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D
tan1(x+1)+c
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Solution

The correct option is A 2tan1(x+1)+c
I=1(x+2)x+1dx
Substituteu=x+1

du=12x+1dx

=211+u2du
=2tan1u+C
=2tan1(x+1)+C

Hence the correct option is A,2tan1(x+1)+C

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