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Question

ex[f(x)+f(x)]dx is equal to

A
exf(x)+c
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B
ex+c
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C
exf(x)+c
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D
None of these
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Solution

The correct option is A exf(x)+c
Let I=ex[f(x)+f(x)]dx
=exf(x)dx+exf(x)dx
=exf(x)exf(x)dx+exf(x)dx
=exf(x)+c

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