Question

find the length of the curve y=sinx from x=0 to x=pi/2

Answer 1

Arc length,\[\Large\bf\sf L\quad=\quad \int\limits ds\]

Answer 2

Where ds is an immeasurably small piece of arc. We add up all of the pieces of arc.

Answer 3

\[\Large\bf\sf ds\quad=\quad \sqrt{1+\left(\frac{dy}{dx}\right)^2}dx\]