How do you evaluate the definite integral by the limit definition given #int 3x^2dx# from [1,3]? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer sjc Nov 28, 2016 26 Explanation: #int_1^3(3x^2)dx# #=[(cancel(3)x^3)/cancel(3)]_1^3# #[x^3]^3-[x^3]_1# #=3^3-1^3# #=27-1=26# Answer link Related questions What is the difference between definite and indefinite integrals? What is the integral of #ln(7x)#? Is f(x)=x^3 the only possible antiderivative of f(x)=3x^2? If not, why not? How do you find the integral of #x^2-6x+5# from the interval [0,3]? What is a double integral? What is an iterated integral? How do you evaluate the integral #1/(sqrt(49-x^2))# from 0 to #7sqrt(3/2)#? How do you integrate #f(x)=intsin(e^t)dt# between 4 to #x^2#? How do you determine the indefinite integrals? How do you integrate #x^2sqrt(x^(4)+5)#? See all questions in Definite and indefinite integrals Impact of this question 1373 views around the world You can reuse this answer Creative Commons License