What is the Formal Definition of the Definite Integral of the function #y=f(x)# over the interval #[a,b]# ? Calculus Introduction to Integration Formal Definition of the Definite Integral 1 Answer Wataru Sep 8, 2014 #int_a^bf(x)dx=lim_{n to infty}sum_{i=1}^n f(a+iDelta x)Deltax#, where #Delta x ={b-a}/n# Answer link Related questions How do you use the definition of the definite integral? What is the integral of dy/dx? What is an improper integral? How do you calculate the double integral of #(xcos(x+y))dr# where r is the region: 0 less than... How do you apply the evaluation theorem to evaluate the integral #3t dt# over the interval [0,3]? What is the difference between an antiderivative and an integral? How do you integrate #3x^2-5x+9# from 0 to 7? Question #f27d5 How do you evaluate the definite integral #int sqrtt ln(t)dt# from 2 to 1? How do you evaluate the definite integral #int 2(pi)x(cos^(-1)(x))dx# from 0 to 1? See all questions in Formal Definition of the Definite Integral Impact of this question 4350 views around the world You can reuse this answer Creative Commons License