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Question

Find the value of 0x exdx


A

1

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B

-1

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C

0

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D

None of these

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Solution

The correct option is A

1


0x exdx=limbb0ex x dx =limb(xexex)b0 =limb bebeb+1 =limb (b+1)eb+limb 1 =limb 1eb+limb 1 using L'Hospital's theorem =1


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