Finding Integralsany help please!

  • Thread starter lemon26
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  • #1
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Hi, can anyone help please as I'm getting tied up in knots...

Homework Statement



Integrate (5x^2 + √x - 4/x^2) dx

Homework Equations



I think this is differentiating by parts...

The Attempt at a Solution



So far I've got to: 5x^3 / 3 + 2x^3/2 / 3 + 4 / x +c

I can't think how I can make it any tidier so any tips would be really appreciated!
 

Answers and Replies

  • #2
phyzguy
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Two questions for you:

(1) What is:
[tex]\int( f(x) + g(x)) dx[/tex]
(2) What is:
[tex]\int x^k dx[/tex]
 
  • #3
SteamKing
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Question (3): What is 'differentiating by parts'?
 
  • #4
Ray Vickson
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Hi, can anyone help please as I'm getting tied up in knots...

Homework Statement



Integrate (5x^2 + √x - 4/x^2) dx

Homework Equations



I think this is differentiating by parts...

The Attempt at a Solution



So far I've got to: 5x^3 / 3 + 2x^3/2 / 3 + 4 / x +c

I can't think how I can make it any tidier so any tips would be really appreciated!
Because you do not use parentheses, I cannot figure out whether you mean
[tex] (1) \; \int \left(5 x^2 + \sqrt{x} - \frac{4}{x^2} \right) \, dx \leftarrow \text{ what you wrote}[/tex]
or
[tex] (2) \; \int \left( 5 x^2 + \sqrt{x - \frac{4}{x^2}} \right) \, dx [/tex]
or
[tex] (3) \;\int \left(5 x^2 - \frac{ \sqrt{x-4}}{x^2} \right)\, dx [/tex]
or
[tex] (4) \;\int \left(5 x^2 - \sqrt{ \frac{x-4}{x^2} } \right)\, dx [/tex]
 
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