2 2x dx/( x+ x)^2 is equal to:(where C is an arbitrary constant) Option 1: -4/ x+ x+C Option 2: 2 x- x +C Option 3: x+ x +C Option 4: 2 x+ x +C

The answer is '2 x+ x +C'. View full solution:

CUET Mathematics - 2 2x dx/( x+ x)^2 is equal to:(where C is an arbitrary constant) | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 2

Calculus

Medium

core

$\frac{-4}{\sin x+\cos x}+C$

$2\log\lvert \sin x-\cos x \rvert+C$

$\log\lvert \sin x+\cos x \rvert+C$

$2\log\lvert \sin x+\cos x \rvert+C$

✅ Correct Option: 4

Related questions:

21st May Shift 2

Match the LIST-I with LIST-II

LIST-I (Definite integral)		LIST-II (Value of definite integral)
A. $\displaystyle\int_4^9 \dfrac{1}{\sqrt{x}}\,dx$		I. $\dfrac{2}{3}$
B. $\displaystyle\int_{-1}^1 x^3\,dx$		II. 1
C. $\displaystyle\int_{-1}^1 x^2\,dx$		III. 0
D. $\displaystyle\int_1^2 [x]\,dx$ , where $[\cdot]$ denotes greatest integer function		IV. 2

Choose the correct answer from the options given below:

29th May Shift 1

$\displaystyle\int_1^3 \dfrac{\sqrt{x}}{\sqrt{x}+\sqrt{4-x}}dx$ is equal to:

3 June Shift 1

$\int \sqrt{1 + \frac{x^2}{9}} dx$ is equal to

(Where C is an arbitrary constant)