The length of the curve \(y=\sin{x}\) from \(x=0\) to \(x=\dfrac{3\pi}{4}\) is given by

Summary Submit

The arc length for a curve is given by the equation:

$$ L = \int\limits_a^b \sqrt{1+\left(\frac{dy}{dx}\right)^2}   dx $$ $$ f(x)=\sin{x} \hskip{2em} \frac{dy}{dx}=\cos{x}$$ $$ L = \int\limits_0^{3\pi/4} \sqrt{1+\cos^2{x}}  dx $$