Question:
The area of the region bounded by the lines $y = 2x + 1, y = 3x + 1$ and $x = 4$ is
The area of the region bounded by the lines $y = 2x + 1, y = 3x + 1$ and $x = 4$ is
Updated On: May 8, 2024
- 16 s unit
- $\frac{121}{3}$ s unit
- $\frac{121}{6}$ s unit
- $8\, s \,unit$
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Answer (d) $8\, s \,unit$
Was this answer helpful?
0
0
Top Questions on applications of integrals
- Find area bounded by the curves \(y\) = \(max\{sin x, cos x\}\) and \(x-axis\) between \(x = - \pi \)and \(x = \pi\)
- JEE Main - 2023
- Mathematics
- applications of integrals
- Let \(\sum_{n=0}^{\infty }\frac{n^{3}((2n)!+(2n-1)(n!))}{(n!)((2n)!)}=ae+\frac{b}{e}+c\), where $a, b, c \in Z$ and $e=\displaystyle\sum_{n=0}^{\infty} \frac{1}{n !}$ Then $a^2-b+c$ is equal to _______
- JEE Main - 2023
- 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
- \(I(x) = \int \frac{x^2(xsec^2x + tanx)}{(xtanx+1)^2} dx\). If \(I(0)=1\) then \(I(\frac{\pi}{4})\) is equal to
- JEE Main - 2023
- Mathematics
- applications of integrals
- The area of the region given by $\left\{(x, y): x y \leq 8,1 \leq y \leq x^2\right\}$ is :
- JEE Main - 2023
- Mathematics
- applications of integrals
View More Questions
Questions Asked in MHT CET exam
- Total genetic content of an organism is called
- MHT CET - 2024
- Non-Mendelian Genetics
- Two monkeys off mass 10 kg and 8 kg are moving along a vertical light rope the former climbing up with an acceleration of 2 m/second square while the latter coming down with a uniform velocity of 2 m/sec square find the tension in the rope at the fixed support
- MHT CET - 2024
- tension
- Which disease is primarily spread by female Anopheles mosquitoes?
- MHT CET - 2024
- HIV and AIDS
- How many ATP molecules are needed as an initial investment in the glycolytic cycle (normal glycolysis)?
- MHT CET - 2024
- Glycolysis
- If \(A=\begin{bmatrix} 2a & -3b\\ 3 & 2\end{bmatrix}\) and \(\text{adj}A = AA^T\), then 2a+3b is?
- MHT CET - 2023
- Matrices
View More Questions
Concepts Used:
Applications of Integrals
There are distinct applications of integrals, out of which some are as follows:
In Maths
Integrals are used to find:
- The center of mass (centroid) of an area having curved sides
- The area between two curves and the area under a curve
- The curve's average value
In Physics
Integrals are used to find:
- Centre of gravity
- Mass and momentum of inertia of vehicles, satellites, and a tower
- The center of mass
- The velocity and the trajectory of a satellite at the time of placing it in orbit
- Thrust