_0^2 (|x| + |x - 2|) dx = Option 1: 8 Option 2: 4 Option 3: 2 Option 4: 1/2

The answer is '4'. View full solution:

CUET Mathematics 2025 - _0^2 (|x| + |x - 2|) dx = | PYQs + Solutions

2026: 30th May Shift 2

If $0 < x < \frac{\pi}{4}$ , then $\int\sqrt{1-\sin2x}\,dx$ is:

[where C is an arbitrary constant]

2023: 22 May Shift 3

$\int_1^2 \frac{x \, dx}{(x+1)(x+2)} =$

2026: 19th May Shift 2

$\int 5^x dx$ is

(where C is an arbitrary constant)

2026: 15th May Shift 1

Value of $\displaystyle\int \dfrac{dx}{\sin^{\frac{3}{5}}x \cdot \cos^{\frac{7}{5}}x}$ is (where c is an arbitrary constant)

2025: 15 May Shift 1

Match List-I with List-II

List-I	List-II
(A) The value of $\int_{0}^{4} \vert x\vert \, dx$ is	(I) 3
(B) The value of $\int_{-2}^{2} \vert x\vert \, dx$ is	(II) -1
(C) The value of $\int_{0}^{3} [x] \, dx$ is	(III) 8
(D) The value of $\int_{-1}^{1} [x] \, dx$ is	(IV) 4

Choose the correct answer from the options given below:

2026: 15th May Shift 1

If '[.]' is greatest integer function, then value of $\displaystyle\int_0^{1.5}[x^2]\,dx$ is equal to :