MAT136H1 Lecture : 8.1 Arc Length Question #2 (Medium)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): integral representation of the length of the curve. When the function is given as in terms of , take the derivative of in terms of , thus. If the function is given as in terms of , no need to rearrange to have written in terms of . take the derivative of it as it is, thus. , and taking the integral in terms of . Set up an integral representing the length of the curve. Then evaluate the exact length of the curve. First take the derivative of the given function. Plug into the formula for the curve length: (