Find the EXACT length of $y=\frac{2}{3}{x}^{3/2}$ from $x=0$ to $x=63$.

Which integral gives the LENGTH of the curve $y=\frac{1}{x}$ from $x=1$ to $x=3$?

Find the EXACT length of $y=\frac{2}{3}{x}^{3/2}$ from $x=0$ to $x=35$.

Which integral gives the LENGTH of the curve $y=\sin x$ from $x=0$ to $x=\pi$?

A student writes the length of $y=\cos x$ on $\left[0,\frac{\pi }{2}\right]$ as ${\int }_0^{\frac{\pi }{2}}\sqrt{1+{\cos }^{2}x}dx$. What is wrong with it?

Find the length of $y=x^{3/2}$ from $x=0$ to $x=4$, ROUNDED to three decimal places.

Find the length of $y=\sqrt{x}$ from $x=1$ to $x=4$, ROUNDED to three decimal places.

A particle moves along a line with velocity $v(t)=t^2-4$ for $0\le t\le 5$, in meters per second. What is the TOTAL DISTANCE traveled?

Find the length of $y=\ln x$ from $x=1$ to $x=2$, ROUNDED to three decimal places.

Which integral gives the LENGTH of the curve $y=x^3$ from $x=0$ to $x=2$?

Which integral gives the length of $x=y^3$ from $y=0$ to $y=2$?

A student writes the length of $y=\sin x$ on $\left[0,\pi \right]$ as ${\int }_0^{\pi }\sqrt{1+{\sin }^{2}x}dx$. What is wrong with it?

Which integral gives the LENGTH of the curve $y=\sqrt{x}$ from $x=1$ to $x=4$?

A particle moves along a line with velocity $v(t)=t^2-25$ for $0\le t\le 8$, in meters per second. What is the TOTAL DISTANCE traveled?

Which integral gives the length of $x=y^2$ from $y=0$ to $y=1$?

Find the EXACT length of $y=\frac{2}{3}{x}^{3/2}$ from $x=0$ to $x=3$.

Which integral gives the LENGTH of the curve $y=x^2$ from $x=0$ to $x=1$?

A particle moves along a line with velocity $v(t)=t^2-16$ for $0\le t\le 7$, in meters per second. What is the TOTAL DISTANCE traveled?

Which integral gives the length of $x=2y^2$ from $y=0$ to $y=2$?

A particle moves along a line with velocity $v(t)=t^2-1$ for $0\le t\le 3$, in meters per second. What is the TOTAL DISTANCE traveled?

Find the length of $y=x^3$ from $x=0$ to $x=2$, ROUNDED to three decimal places.

Find the EXACT length of $y=\frac{2}{3}{x}^{3/2}$ from $x=0$ to $x=24$.

Which integral gives the LENGTH of the curve $y=\ln x$ from $x=1$ to $x=2$?

Which integral gives the LENGTH of the curve $y=e^x$ from $x=0$ to $x=1$?