CUET Mathematics - _3/8^/8 ^2025 x ^2025 x + ^2025 x dx is equal to | PYQs + Solutions

CUET Mathematics 2025 16 May Shift 1

Calculus

Medium

core

$\frac{\pi}{8}$

$-\frac{\pi}{8}$

$\frac{\pi}{4}$

$-\frac{\pi}{4}$

✅ Correct Option: 2

Related questions:

15 May Shift 2

If $I = \int \frac{x}{x - \sqrt{x^2 - 4}} dx = \alpha x^3 + \beta(x^2 - 4)^{\frac{3}{2}} + \gamma$ , where $\gamma$ is constant of integration, then

29 May Shift 2

Match List-I with List-II

List-I	List-II
Integral	Solution: C is an arbitrary constant
(A) $\int \frac{dx}{x^2 + 25}$	(I) $\frac{1}{10} \log \left\| \frac{5 + x}{5 - x} \right\| + C$
(B) $\int \frac{dx}{x^2 - 25}$	(II) $\log \|x + \sqrt{x^2 - 25}\| + C$
(C) $\int \frac{dx}{25 - x^2}$	(III) $\frac{1}{5} \tan^{-1} \left( \frac{x}{5} \right) + C$
(D) $\int \frac{dx}{\sqrt{x^2 - 25}}$	(IV) $\frac{1}{10} \log \left\| \frac{x - 5}{x + 5} \right\| + C$

Choose the correct answer from the options given below:

14 May Shift 2

$\int_{-1}^{1}(x^7 + x^5 + x^3 + x + 1)dx$ is equal to

CUET Mathematics 2025 16 May Shift 1 PYQs