Integrals of Trigonometric Functions

  • Thread starter recon_ind
  • Start date
  • #1
8
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Homework Statement



I have three problems that I'm having a hard time with. I'd appreciate any help with
any of the three problems.

[tex]\int((cos(x))^6)dx[/tex]

AND

[tex]\int(x^3 * sqrt(x^2 - 1)[/tex]

AND

Solve for y (separation of variables):
dy/dx = ((2y + 3)^2)/((4x + 5)^2)


Homework Equations



Separation of variables for 3rd problem.


The Attempt at a Solution



I have work on scartch paper but I get stuck.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
867
0
For the first integral, use the reduction formula for cosine.

For the second, try u = x2

For the third, did you try getting everything with y on one side and everything with x on the other?
 
  • #3
8
0
thank you. im going to try this right now. for the third i got down to an integral that would need partial fraction decomposition but got stuck. :(
 
  • #4
8
0
I finally got the first one. so just the 2nd and 3rd problems now.
 

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