Question:
Find the area of the figure bounded by the parabola \( y^2 = 4x \) and \( x^2 = 4y \).
Find the area of the figure bounded by the parabola \( y^2 = 4x \) and \( x^2 = 4y \).
Show Hint
To compute areas between curves, use definite integrals to evaluate the difference in the functions over the given bounds.
Updated On: Apr 1, 2025
- 16
- 8
- \( \frac{16}{3} \)
- 4
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The area of the region can be found using integration. The total area is given by:
\[
A = \int_0^2 \left( 4x - x^2 \right) \, dx = \frac{16}{3}
\]
Was this answer helpful?
0
0
Top Questions on Calculus
- Area of the region (in sq. units) bounded by the curve $ y = x^2 - 5x + 4 $, $ x = 0 $, $ x = 2 $, and the X-axis is
- Evaluate the integral \( \displaystyle \int_{1/5}^{1/2} \frac{\sqrt{x - x^2}}{x^3} \, dx \):
- \( \int_{-\pi/2}^{\pi/2} \sin^2 x \cos^2 x (\sin x + \cos x) \, dx = \)
- If \(\int \frac{1}{((x+4)^3 (x+1)^5)^{1/4}} \, dx = A \cdot \left(\frac{x+4}{x+1}\right)^n + c\), then
- Evaluate: \[ \int \frac{dx}{(x+1)\sqrt{x^2+1}} \]
View More Questions
Questions Asked in IPU CET exam
- If A = 26, SUN = 27, then CAT = ?
- IPU CET - 2023
- Coding Decoding
Which of the following is an octal number equal to decimal number \((896)_{10}\)?
- IPU CET - 2023
- Binary Operations
- If A represents '1' and o represents '0'. What will be the one's complement of oAAooA?
- IPU CET - 2023
- Binary Operations
- The forces acting at a point are called as:
- IPU CET - 2023
- General Science
- The central processing unit consist of:
- IPU CET - 2023
- Computer Literacy
View More Questions