`int (x^3 - 2sqrt(x))/x dx` Find the general indefinite integral.

Textbook Question

Chapter 5, 5.4 - Problem 11 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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mathace | (Level 3) Assistant Educator

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Given `int((x^3-2sqrt(x))/x)dx`

Simplify the expression by dividing each term by x.

`=int(x^2-2x^(-1/2))dx`

Integrate each term.

`=(x^3/3)-(2x)^(1/2)/(1/2)+C`

Simplify.

`=(x^3/3)-4x^(1/2)+C`

`=(x^3/3)-4sqrt(x)+C` 

 

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mathace | (Level 3) Assistant Educator

Posted on

`int(x^3-2sqrt(x))/xdx`

``Simplify by dividing each term in the numerator by x.

` <br> `

`=(x^3/3)-(2x^(1/2))/(1/2)+C`

`=(x^3/3)-4x^(1/2)+C`

``

` `

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