CUET Mathematics - 1/(x + 1)(x + 2) dx is equal to | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Calculus

Medium

applied

$\log_e\left|\frac{x + 2}{x + 1}\right| + C$ : where $C$ is an arbitrary constant

$\log_e\left|\frac{x + 1}{x + 2}\right| + C$ : where $C$ is an arbitrary constant

$\log_e|(x + 1)(x + 2)| + C$ : where $C$ is an arbitrary constant

$\log_e|2x + 3| + C$ : where $C$ is an arbitrary constant

✅ Correct Option: 2

Related questions:

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$\int_{3\pi/8}^{\pi/8} \frac{ an^{2025} x}{ an^{2025} x + \cot^{2025} x} dx$ is equal to

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Match List-I with List-II

List-I	List-II
(A) $\int_{-a}^a f(x) dx = 0$	(I) 0
(B) $\int_0^{2a} f(x) dx = 2\int_0^a f(x) dx$	(II) 1
(C) $\int_{-\pi}^{\pi} \cos x dx$	(III) $f$ is an odd function
(D) $\int_{-1}^1 x^{101} dx + 1$	(IV) $f(2a-x) = f(x)$

Choose the correct answer from the options given below:

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If $I = \int \frac{x^4 + x^2 + 1}{x^2 - x + 1} dx = \alpha x + \beta x^2 + \gamma x^3 + \delta$ , $\delta$ is constant of integration, then $(\alpha + 2\beta + 3\gamma)$ equals

CUET Mathematics 2025 30 May Shift 1 PYQs

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