How do you find the antiderivative of #f(x)=1/5x^4-3/4x-1#? Calculus Introduction to Integration Formal Definition of the Definite Integral 1 Answer Øko Dec 21, 2017 #1/25x^(5)-3/8x^(2)-x+C# Explanation: Note #(a*1/(n+1)*x^(n+1))'=a*x^n# #int1/5x^4-3/4x-1dx# #1/5*1/(4+1)x^(4+1)-3/4*1/(1+1)x^(1+1)-x# #1/5*1/(5)x^(5)-3/4*1/(2)x^(2)-x+C# #1/25x^(5)-3/8x^(2)-x+C# 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 1788 views around the world You can reuse this answer Creative Commons License