Area Under the Curve
Area Under a Curve
JEE Main 2021
Grade 12
Question:
The area bounded by the curve $y = \sin x$, the $x$-axis, $x = 0$ and $x = \pi$ is:
(1) $2$
(2) $1$
(3) $\pi$
(4) $\frac{\pi}{2}$
Step-by-Step Solution
Key Concept: Recall that $\sin x \geq 0$ throughout $[0, \pi]$, so the required (geometric) area is simply $\int_0^\pi \sin x \, dx$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)