Practicing Success

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)