How do you evaluate the definite integral #int x^2 dx# from #[1,2]#? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Shwetank Mauria Nov 4, 2016 #int_1^2x^2dx=7/3# Explanation: As #d/(dx)x^3=3x^2# #int_1^2x^2dx=|x^3/3|_1^2# = #(2^3/3-1^3/3)# = #8/3-1/3=7/3# 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 1009 views around the world You can reuse this answer Creative Commons License