How do you find the length of a curve using integration? Calculus Applications of Definite Integrals Determining the Length of a Curve 1 Answer Wataru Sep 11, 2014 If you want to find the arc length of the graph of #y=f(x)# from #x=a# to #x=b#, then it can be found by #L=int_a^b sqrt{1+[f'(x)]^2}dx# Answer link Related questions How do you find the arc length of #y=ln(cos(x))# on the interval #[pi/6,pi/4]#? What is arc length parametrization? How do you find the length of a curve defined parametrically? How do you find the length of a curve in calculus? How do you find the arc length of #x=2/3(y-1)^(3/2)# between #1<=y<=4#? How do you find the length of the curve #y=x^5/6+1/(10x^3)# between #1<=x<=2# ? How do you find the length of the curve #y=e^x# between #0<=x<=1# ? How do I find the arc length of the curve #y=ln(sec x)# from #(0,0)# to #(pi/ 4, ln(2)/2)#? How do I find the arc length of the curve #y=ln(cos(x))# over the interval #[0,π/4]#? How do you evaluate the line integral, where c is the line segment from (0,8,4) to (6,7,7)? See all questions in Determining the Length of a Curve Impact of this question 7110 views around the world You can reuse this answer Creative Commons License