CUET Mathematics - The value of _-1^1 |x^3 - x| dx is | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

common

$\frac{1}{4}$

$\frac{1}{2}$

✅ Correct Option: 3

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If $f(x)$ and $g(x)$ are continuous functions in [a, a] such that $f(x) = f(a - x)$ and $g(x) + g(a - x) = a$ then $\int_{0}^{a} f(x)g(x)dx =$

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If the integral $I = \int \frac{x^2}{\sqrt{1+x}} dx = \frac{2}{3}(1+x)^{3/2} - \frac{8x}{15}(1+x)^{3/2} + \frac{2(1+x)^{5/2}}{15} + C$ ; C is constant of integration, then the value of a is:

CUET Mathematics 2025 27 May Shift 1 PYQs

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