Match List-I with List-II, List-I, List-II, Integral, Value of the integral, (A) _1^2 e^(2 x) dx, (I) 2, (B) _(-1)^1 x dx, (II) 1/2, (C) _0^1 e^x dx, (III) 7/3, (D) _1^2 1/x dx, (IV) 1, Choose the correct answer from the options given below:

Question

Match List-I with List-II | List-I | List-II | |---|---| | **Integral** | **Value of the integral** | | (A) $$\displaystyle\int_{1}^{2} e^{2\log x} \, dx$$ | (I) $$\log 2$$ | | (B) $$\displaystyle\int_{-1}^{1} \left\vert x \right\vert \, dx$$ | (II) $$\dfrac{1}{2}$$ | | (C) $$\displaystyle\int_{0}^{1} \log e^x \, dx$$ | (III) $$\dfrac{7}{3}$$ | | (D) $$\displaystyle\int_{1}^{2} \dfrac{1}{x} \, dx$$ | (IV) $$1$$ | Choose the correct answer from the options given below:

Accepted Answer

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

Answer

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

Answer

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

Answer

(A) - (III), (B) - (II), (C) - (IV), (D) - (I)

List-I	List-II
Integral	Value of the integral
(A) $\displaystyle\int_{1}^{2} e^{2\log x} \, dx$	(I) $\log 2$
(B) $\displaystyle\int_{-1}^{1} \left\vert x \right\vert \, dx$	(II) $\dfrac{1}{2}$
(C) $\displaystyle\int_{0}^{1} \log e^x \, dx$	(III) $\dfrac{7}{3}$
(D) $\displaystyle\int_{1}^{2} \dfrac{1}{x} \, dx$	(IV) $1$

Solution

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