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Question

(A) : ex(logx+x2)dx=ex(logx1x)+c
(R): ex[f(x)+f(x)]dx=exf(x)+c

A
Both A and R are true and R is the correct explanation of A
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B
Both A and R are true but R is not correct explanation of A
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C
A is true but R is false
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D
A is false but R is true.
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Solution

The correct option is A Both A and R are true and R is the correct explanation of A
A=ex(logx+1x2)dx
ex[(logx1x)+(1x2+1x)]dx
It is in the form of
ex(f(x)+f(x))dx=exf(x)+c
So the integral is equal to ex[logx1x]+c
A: true and
R: true and R explains A.

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