Applications of Integrals

The area bounded by $y=x$, the $x$-axis, $x=0$, and $x=2$ is ...

The area bounded by $y=2x$, $x=0$, $x=1$, and the $x$-axis is ...

The area under $y=x^2$ from $x=0$ to $x=1$ is ...

The volume of the solid formed when the region $y=x$ for $0\le x\le 1$ is revolved about the $x$-axis is ...

The area under the line $y=2$ from $x=0$ to $x=3$ is ...

The area under a curve is computed using ...

The area bounded by $y=x$ and $y=x^2$ for $0\le x\le 1$ is ...

The area under $y=x^2$ from $x=0$ to $x=3$ is ...

The volume of revolution of the region $y=x^2$ for $0\le x\le 1$ about the $x$-axis is ...

The area bounded by $y=4-x^2$ and the $x$-axis is ...

The volume of revolution of the region $y=\sqrt{x}$ for $0\le x\le 1$ about the $x$-axis is ...

The area under $y=x^2$ from $x=0$ to $x=2$ is ...

The area bounded by $y=x^2$ and the line $y=2x$ is ...

The volume of revolution of the region $y=x^2$ for $0\le x\le 2$ about the $x$-axis is ...

The area bounded by $y=x^2-4x$ and the $x$-axis is ...

The area under $y=x^2$ from $x=1$ to $x=3$ is ...

The area bounded by the curve $y=x^3$ and the line $y=x$ is ...

The volume of revolution of the region $y=\sqrt{x}$ for $0\le x\le 4$ about the $x$-axis is ...

The area bounded by the curve $y=x^2$, the $y$-axis, and the line $y=9$ is ...

The volume of revolution of the region bounded by $y=x$, $x=0$, and $x=3$ about the $x$-axis is ...