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

CUET Mathematics 2025 29 May Shift 2

Calculus

Medium

core

$\sqrt{6}\cot^{-1}(\sqrt{6}\cot x) + C$ ; C is an arbitrary constant

$\sqrt{6}\cot^{-1}(\sqrt{6} \tan x) + C$ ; C an arbitrary constant

$\frac{1}{\sqrt{6}} \tan^{-1}(\sqrt{6}\cot x) + C$ ; C an arbitrary constant

$\frac{1}{\sqrt{6}} \tan^{-1}(\sqrt{6} \tan x) + C$ ; C an arbitrary constant

✅ Correct Option: 4

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If $\int \frac{1-x}{\sqrt{1+x}} dx = a\sqrt{1-x^2} + b \sin^{-1}x + C$ , Where C is an arbitrary constant, then which of the following are TRUE?

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(B) $\alpha = -1$

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Choose the correct answer from the options given below:

CUET Mathematics 2025 29 May Shift 2 PYQs