How do you solve #int_0^2 x^4+5x dx#? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Stacey R. May 4, 2016 #82/5# Explanation: First, take the antiderivative: #[1/5x^5 + 5/2x^2]_0^2# Then, evaluate: #(1/5(2)^5 + 5/2(2)^2) - (0)# #=32/5+10# #=82/5# 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 1712 views around the world You can reuse this answer Creative Commons License