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Question

Assertion :xex(1+x)2dx=ex1+x+C Reason: ex(f(x)+f(x))dx=exf(x)+C

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Consider, xex(1+x)2dx
=(x+1)1(1+x)2dx
=ex{1(1+x)1(1+x)2}dx
=ex(f(x)+f(x))dx
where f(x)=1(1+x)
f(x)=1(1+x)2

So, I=exx+1+C

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