Ask My Instructor Question - Section 4.8, Question: 4.8.35

[Parker Van Zyl via Pearson Education]

Book title: Thomas' Calculus Early Transcendentals, 12e                
Course name: MATH_-165_-12                
Objective: Find an antiderivative or indefinite integral.         
        
Assign. 14 (Sec. 4.8) (Question # 9)        
        
Question Link (this link will remain valid for 6 months from 04/08/15):        
http://www.mathxl.com/info/exercise.aspx?fromask=yes&dataid=c679ac7a-0855-40c6-8baf-edebd25283fe        
        
I have no clue how to start this problem since it is a 14th and 15th root        

[William DeMeo]

You can use the sum rule, which says that the integral of f(x) + g(x) is equal to the integral of f(x) plus the integral of g(x), then use the power rule, since the 15th root of x is the same as x^{1/15}.