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 2218 views around the world You can reuse this answer Creative Commons License