The value of _0^3 sqrt(x)sqrt(3-x)+sqrt(x) dx is Option 1: 1/2 Option 2: 1 Option 3: 3/2 Option 4: 2

The answer is '3/2'. View full solution:

CUET Mathematics - The value of _0^3 sqrt(x)sqrt(3-x)+sqrt(x) dx is | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Calculus

Medium

applied

$\frac{1}{2}$

$\frac{3}{2}$

✅ Correct Option: 3

Related questions:

22nd May Shift 2

Let $f(x)=\int \frac{3x-2}{(x+1)^2(x+3)}dx = \alpha\log\left|\frac{x+1}{x+3}\right|+\beta\left(\frac{1}{x+1}\right)+\gamma$ , where $\gamma$ is the constant of integration. If $f(0)=\frac{11}{4}\log\left(\frac{1}{3}\right)+4$ , then which of the following are correct?

(A) $4\alpha+2\beta+6\gamma=22$

(B) $f(1)=\alpha[1-\log 2]$

(D) $\gamma=-\frac{5}{2}$

Choose the correct answer from the options given below:

22nd May Shift 2

Match List-I with List-II

List-I	List-II
(A) $\int_{-1}^{1} \lvert x \rvert dx =$	(I) 3
(B) $\int_{-\pi}^{\pi} \cos x \, dx =$	(II) 1
(C) $\int_{-1}^{1} (\lvert x \rvert-1) dx =$	(III) 0
(D) $\int_{-1}^{1} (\lvert x \rvert+1) dx =$	(IV) -1

Choose the correct answer from the options given below:

30 May Shift 1

$\int \frac{1}{(x + 1)(x + 2)} dx$ is equal to

CUET Mathematics 2026 19th May Shift 1 PYQs

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