CUET Mathematics - _0^/2 1- xcosec x+ x d x= | PYQs + Solutions

CUET Mathematics

Calculus

Medium

core

$0$

$\frac{\pi}{4}$

$\infty$

$\frac{\pi}{12}$

✅ Correct Option: 1

Related questions:

14 May Shift 2

If $\int \frac{dx}{(x-1)^3/^4,(x+2)^5/^4} = a[1 - g(x)]^b + c$ , where $c$ is a constant of integration, then which of the following are true?

(A) $a = \frac{2}{3}$

(B) $\beta = \frac{3}{4}$

(D) $g(x) = \frac{3}{(x+2)}$

Choose the correct answer from the options given below:

3 June Shift 1

$\int_{1}^{2} \frac{\sqrt{x}}{\sqrt{3 - x} + \sqrt{x}} dx$ is equal to

16 May Shift 1

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 PYQs

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