Match List-I with List-II List-I

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

Match List-I with List-II

List-I		List-II
(A)	$∫\frac{dx}{a^2-x^2}$	(I)	$\frac{1}{2a}log\left\|\frac{x-a}{x+a}\right\|+C$
(B)	$∫\frac{dx}{x^2-a^2}$	(II)	$\frac{1}{2a}log\left\|\frac{a+x}{a-x}\right\|+C$
(C)	$∫\frac{dx}{x^2+a^2}$	(III)	$sin^{-1}(\frac{x}{a})+C$
(D)	$∫\frac{dx}{\sqrt{a^2-x^2}}$	(IV)	$\frac{1}{a}tan^{-1}\frac{x}{a}+C$

Choose the correct answer from the options given below :

Options:

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

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

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

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

Correct Answer:

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