`f'(x) = sqrt(x^3) + root(3)(x^2)` Find `f`.

Textbook Question

Chapter 4, Review - Problem 67 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsarora17 | (Level 2) Associate Educator

Posted on




apply the sum rule,


`f(x)=x^(3/2+1)/(3/2+1)+x^(2/3+1)/(2/3+1)+C` , C is constant




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balajia | College Teacher | (Level 1) eNoter

Posted on

Given `f'(x) = sqrt(x^3)+root(3)(x^2)`

Integrating both sides with respect to x, we get

`intf'(x) = int(sqrt(x^3)+root(3)(x^2))dx`

`f(x)= int (x^(3/2)+x^(2/3))dx`


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