Assertion (A): \int_{2}^{e}(\frac{1}{\log _{e} x}- {1}/{(\log _{e} x)^{2}}) d x=e-2 \log _{2} e Reason (R): \int_{a}^{b} e^{x}(f(x)+f^{'}(x)) d x=e^{b} f(b)-e^{a} f(a)

Correct Answer is : (A) and (R) are true, (R) is the correct explanation to (A).

(A) and (R) are true, (R) is the correct explanation to (A).

(A) and (R) are false, (R) is not the correct explanation to (A).

(A) is true and (R) is false, R is not the correct explanation to (A).

(A) is false and (R) is true, (R) is not the correct explanation to (A).

AP EAPCET 06-Jul-2022 Shift 2 Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

Assertion (A):

∫

(‌

logex

−‌

(logex)2

)dx=e−2log2e
Reason (R):

∫

ex(f(x)+f′(x))dx=ebf(b)−eaf(a)

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