CUET Mathematics - Match List I with List II | List - I | List - II | |---|---| | A. dx/x^2 - a^2 = | I. _e x + sqrt(x^2 + a^2) + C | | B. dx/a^2 - x^2 = | II. 1/2a_e-a/x+a + C | | C. dxsqrt(x^2 - a^2) = | III. 1/2a_e+x/a-x + C | | D. dxsqrt(x^2 + a^2) = | IV. _e x + sqrt(x^2 - a^2) + C | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2022 23 Aug Shift 1

Calculus

Easy

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

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

A-II, B-IV, C-I, C-III

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

✅ Correct Option: 1

Related questions:

21 May Shift 1

Match List-I with List-II (Given that $c$ is an arbitrary constant)

List-I	List-II
(A) $\int \frac{dx}{\sqrt{a^2 - x^2}} =$	(I) $\log_e \vert x + \sqrt{x^2 - a^2}\vert + c$
(B) $\int \sqrt{a^2 - x^2} dx =$	(II) $\sin^{-1} \frac{x}{a} + c$
(C) $\int \sqrt{x^2 - a^2} dx =$	(III) $\frac{x}{2} \sqrt{a^2 - x^2} + \frac{a^2}{2} \sin^{-1} \frac{x}{a} + c$
(D) $\int \frac{dx}{\sqrt{x^2 - a^2}} =$	(IV) $\frac{x}{2} \sqrt{x^2 - a^2} - \frac{a^2}{2} \log_e \vert x + \sqrt{x^2 - a^2}\vert + c$

Choose the correct answer from the options given below:

14 May Shift 1

If $\int \frac{(1 + x \log x)}{xe^{-x}} dx = e^x f(x) + C$ , where C is constant of integration, then $f(x)$ is

16 May Shift 1

$\int \frac{\cos 2x - \cos 2α}{\cos x - \cos α} dx$ is equal to

CUET Mathematics 2022 23 Aug Shift 1 PYQs