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Question

If xln 2du(eu1)12=π6, then ex equals


A

1

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B

2

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C

4

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D

3

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Solution

The correct option is C

4


xln 2du(eu1)12=π6

Put eu1=t2

ex112tt(1+t2)dt=π6

2(tan1t)ex11=π6

tan1ex1π4=π12

ex1=tanπ3ex1=3ex=4


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