Area Under the Curve
Area with respect to y-axis
JEE Main 2022
Grade 12
Question:
The area enclosed by the curve $y = x^2$, the $y$-axis, and the lines $y = 1$ and $y = 4$ is:
(1) $\frac{14}{3}$
(2) $\frac{7}{3}$
(3) $\frac{16}{3}$
(4) $\frac{8}{3}$
Step-by-Step Solution
Key Concept: Treat $y$ as the variable of integration and integrate $x = \sqrt{y}$ with respect to $y$ from $y = 1$ to $y = 4$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)