CUET · MATHS · PYQ PAPER 2025
The value of \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}(\sin |x|+\cos |x|) d x\) is
- A \(0\)
- B 2
- C 4
- D \(\frac{5}{2}\)
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}(\sin |x|+\cos |x|) d x = 2 \int_{0}^{\frac{\pi}{2}}(\sin x+\cos x) d x\) \( = 2 [-\cos x + \sin x]_{0}^{\frac{\pi}{2}}\) \( = 2 [(-\cos \frac{\pi}{2} + \sin \frac{\pi}{2}) - (-\cos 0 + \sin 0)]\) \( = 2 [(0 + 1) - (-1 + 0)]\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- The sum of the order and degree of the differential equation \(\frac{d^2 y}{d x^2}+\sqrt[3]{\frac{d y}{d x}}+(1+x)=0\) is :CUET 2023 Hard
- If \(\vec{a}, \vec{b}\), and \(\vec{c}\) are unit vectors such that \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then value of \(\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}\) is :CUET 2023 Hard
- In which of the following intervals, the function \(f(x)=-x^2-2 x+15\) is decreasing ?CUET 2025 Easy
- The general solution of the differential equation \(x d y+e^{-y} d x=x e^{x-y} d x\) is (given C is constant of integration)CUET 2023 Medium
- If \(y=\frac{1}{1+x^{b-a}+x^{a-a}}+\frac{1}{1+x^{a-b}+x^{a-b}}+\frac{1}{1+x^{a-c}+x^{b-c}}\) then \(\frac{d^2 y}{d x^2}\) is:CUET 2025 Easy
- The straight line \(\frac{x+3}{3}=\frac{y+2}{4}=\frac{z+1}{0}\) isCUET 2025 Medium
More PYQs from CUET
- The corner points of the feasible region of a LPP with the constraints \(x+2 y \leq 40,3 x+y \geq 30,4 x+3 y \geq 60, x, y \geq 0\) areCUET 2025 Medium
- A telescope has an objective of focal length 50 cm and eyepiece of focal length 5 cm. The least distance of distinct vision is 25 cm. The telescope is focused for distant vision on a scale 200 cm away from the objective. Calculate the separation between objective and eyepiece :CUET 2023 Hard
- The solution set of the linear inequation \(|4 x-3| \leq \frac{3}{4}\) is :CUET 2025 Hard
- Identify the incorrect feature of human genome.CUET 2025 Hard
- Choose the correct statements from following:
A. Resistivity of a conductor increases with increase in its length.
B. When a small resistor is connected in parallel across a galvanometer, it is converted into ammeter.
C. Current density is a vector quantity.
D. Potentiometer is used to measure the electric current.
E. Kirchoff's junction rule is based on the conservation of charge.
Choose the correct answer from the options given below:CUET 2023 Hard - Standard reduction potentials (\(\text{E}^{\circ}\)) of \(\text{Pb}^{2+}, \text{Ag}^+, \text{Cu}^{2+}\) and \(\text{Fe}^{2+}\) are \(-0.13 \text{ V}, +0.80 \text{ V}, +0.31 \text{ V},\) and \(-0.44 \text{ V}\) respectively. Which is the strongest reducing agent?CUET 2023 Easy