CUET Mathematics - dxsqrt(5 - 4x - x^2) is equal to | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Medium

core

$\sin^{-1}(\frac{x + 2}{3}) + C$ ; C is an arbitrary constant

$\frac{1}{3}\sin^{-1}(\frac{x + 2}{3}) + C$ ; C is an arbitrary constant

$3\sin^{-1}(\frac{x + 2}{3}) + C$ ; C is an arbitrary constant

$\frac{1}{3}\sin^{-1}(x + 2) + C$ ; C is an arbitrary constant

✅ Correct Option: 1

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For $x > 1$ , $\int \frac{e^{7\log x} - e^{5\log x}}{e^{5\log x} - e^{4\log x}} dx$ equals.

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Match List-I with List-II

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 1 PYQs