How do you evaluate the definite integral #int x^(3) dx # from #[b, 2b]#? Calculus Introduction to Integration Formal Definition of the Definite Integral 1 Answer GiĆ³ Feb 13, 2016 I found: #15/4b^4# Explanation: You get: #int_b^(2b)x^3dx=[x^4/4]_b^(2b)# #=1/4((2b)^4-b^4)=1/4(16b^4-b^4)=15/4b^4# 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 2152 views around the world You can reuse this answer Creative Commons License