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Question

10ex1+e2xdx=

A
1π4
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B
π4tane
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C
tan1e
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D
tan1eπ4
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Solution

The correct option is B tan1eπ4
Given 10ex1+e2xdx

Let ex=texdx=dt

xto01

t1e

e111+t2dt

tan1xe1

tan1eπ4

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