Maths Integration Problem! HELP

  • #1
Maths Integration Problem! HELP!!

Homework Statement


ok maths problems is like this:
2.g. integrate (2x-1)/*square root x*

The Attempt at a Solution



ok. i split the equation up so that i am integrating 2x/*root x* - 1/*root x*

the 1/root x integrates to - 2x^(1/2) and the constant is present (+c)

but i cannot seem to integrate the (2x)/(x^(1/2))
the answer is (4/3)x^(3/2)... but i cant seem to get it... even working backwards.
 

Answers and Replies

  • #2
590
0
Can you simplify [tex]\frac{x}{\sqrt{x}}[/tex] ?
 
  • #3
take the two out the front of the integral sign and then multiply?
 
  • #4
ok. i dont get where the x^(3/2) comes from.
[tex]\frac{x}{\sqrt{x}}[/tex]
becomes x.x^(-1/2)... then we add the powers?
= x^(1/2)?
 
  • #5
590
0
Yes, correct. Can you integrate now?
 
  • #6
590
0
Yes, correct. Can you integrate now?
 
  • #7
x^(1/2) becomes (2/3)x^3/2) then multiplying in the two becomes....

(4/3)x^(3/2) which is correct yeh?

cool :D



ok another one. (1-4x)/(x*root*x)... i cant do the (4x)/(x^(3/2))
 
  • #8
Gib Z
Homework Helper
3,346
6
[tex] 4 \cdot \frac{x}{x^{1.5}}= 4 \cdot x^{-1/2}[/tex]
 
  • #9
damn it. lol. how stupid of me. missed the cancelling there totally. ah! no wonder i could do the rest of the chapter *shakes head*
 

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