How do you find the definite integral for: #(2-x^2)dx# for the intervals [2,-1]? Calculus Introduction to Integration Formal Definition of the Definite Integral 1 Answer bp · mason m May 23, 2016 #-3# Explanation: Definite integral would be #int_2^-1 (2-x^2)dx# #=[2x-x^3 /3]_2^-1# #=(-2+1/3)-(4-8/3)# #=-6+9/3# #=-3# Answer link Related questions What is the Formal Definition of the Definite Integral of the function #y=f(x)# over the... 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? See all questions in Formal Definition of the Definite Integral Impact of this question 1450 views around the world You can reuse this answer Creative Commons License