CUET Mathematics - For x (0, /2), x + xsqrt( 2x) dx is equal to | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Calculus

Hard

core

$\sin^{-1}(\sin 2x) + C$ , C is an arbitary constant

$\sin^{-1}(\cos x - \sin x) + C$ , C is an arbitary constant

$\sin^{-1}(\sin x - \cos x) + C$ , C is an arbitary constant

$\sin^{-1}(\sin x + \cos x) + C$ , C is an arbitary constant

✅ Correct Option: 3

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The value of the definite integral $\int_0^1 e^x \frac{(1-x)^2}{(1+x^2)^2}dx$ is:

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Match List-I with List-II

[.] denotes the greatest integer function.

Choose the correct answer from the options given below:

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$\int \frac{dx}{2\sin^2 x + 5\cos^2 x}$ is equal to

CUET Mathematics 2025 15 May Shift 1 PYQs