Evaluate the following integral using substitution rule, #int x(2x+5)^8 dx# Online i saw people solving for x too, i dont get that part? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer A. S. Adikesavan Jan 19, 2017 #1/360(2x+5)^9(18x-5)+C# Explanation: Let #2x+5=t#, so that #dx=1/2dt and x = 1/2(t-5)#. The integral becomes #int1/2(t-5)t^8 1/2dt# #=1/4(t^10/10-5t^9/9)+C# #=1/360(2x+5)^9(9(2x+5)-50)+C# #=1/360(2x+5)^9(18x-5)+C# 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 5523 views around the world You can reuse this answer Creative Commons License