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)y=f(x) from x=ax=a to x=bx=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 7668 views around the world You can reuse this answer Creative Commons License