Question:
Area bounded by the curve y=x3, the x-axis and the ordinates x=2 and x=1 is
Area bounded by the curve y=x3, the x-axis and the ordinates x=2 and x=1 is
Updated On: Oct 12, 2023
- -9
- \(-\frac{15}{4}\)
\(\frac{15}{4}\) - \(\frac{17}{4}\)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is(D): \(\frac{17}{4}\).
Required area= \(∫_{-2}^1 ydx\)
Was this answer helpful?
0
0
Top Questions on applications of integrals
- The solution of \( \frac{e^y}{dx} = x + 2 \) is:
- KEAM - 2024
- Mathematics
- applications of integrals
- The solution of \( \frac{dy}{\cos y} = dx \) is:
- KEAM - 2024
- Mathematics
- applications of integrals
- Evaluate: \( \int \frac{1}{\sqrt{a^2 - x^2}} \, dx \).
- UP Board XII - 2024
- Mathematics
- applications of integrals
- $\displaystyle\lim _{x \rightarrow \infty} \frac{(\sqrt{3 x+1}+\sqrt{3 x-1})^6+(\sqrt{3 x+1}-\sqrt{3 x-1})^6}{\left(x+\sqrt{x^2-1}\right)^6+\left(x-\sqrt{x^2-1}\right)^6} x^3$
- JEE Main - 2023
- Mathematics
- applications of integrals
- Find area bounded by region, y=3x+1, y=4x+1 and x=3?
- MHT CET - 2023
- Mathematics
- applications of integrals
View More Questions
Questions Asked in CBSE CLASS XII exam
- Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).
- CBSE CLASS XII - 2025
- Evaluation of Definite Integrals by Substitution
- A 1 cm segment of a wire lying along the x-axis carries a current of 0.5 A along the \( +x \)-direction. A magnetic field \( \mathbf{B} = (0.4 \, \text{mT}) \hat{j} + (0.6 \, \text{mT}) \hat{k} \) is switched on in the region. The force acting on the segment is:
- CBSE CLASS XII - 2025
- Magnetic Effects of Current and Magnetism
The correct IUPAC name of \([ \text{Pt}(\text{NH}_3)_2\text{Cl}_2 ]^{2+} \) is:
- CBSE CLASS XII - 2025
- Coordination Compounds
- Two conductors A and B of the same material have their lengths in the ratio 1:2 and radii in the ratio 2:3. If they are connected in parallel across a battery, the ratio \( \frac{v_A}{v_B} \) of the drift velocities of electrons in them will be:
- CBSE CLASS XII - 2025
- Current electricity
- Arun, Bashir and Joseph were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. They admitted Daksh as a new partner who acquired his share entirely from Arun. If Arun sacrificed \( \frac{1}{5} \)th from his share to Daksh, Daksh's share in the profits of the firm will be :
- CBSE CLASS XII - 2025
- Partnership Accounts
View More Questions
Notes on applications of integrals
- Application of Integrals Mathematics
- NCERT Solutions For Class 12 Mathematics Chapter 8 Applications of the Integrals
- Trapezoidal Rule Mathematics
- Properties of Definite Integrals Mathematics
- NCERT Solutions for Applications of Integrals Exercise 8 1 Solutions Mathematics
- NCERT Solutions for Applications of Integrals Exercise 8 2 Solutions Mathematics