- #1

- 5

- 0

Hey guys working on a problem for an assignment but my algebra is weak regrettably and I need some assistance.

Note:: I left the x and dx out for clarity.

int csc/cot

int csc x/cot

= int cscsin

= int 1/sin * sin

= int sin/cos

Is the algebra at the equal signs correct? If not what went wrong?

Then I make a u -substitution u = cos x then du = -sinx dx then dx = - du/sinx

that makes - int 1/u

Correct ?

Note:: I left the x and dx out for clarity.

## Homework Statement

int csc/cot

^{2}## The Attempt at a Solution

int csc x/cot

^{2}x dx= int csc/cos^{2}/sin^{2}= int cscsin

^{2}/cos^{2}= int 1/sin * sin

^{2}/cos^{2}= int sin/cos

^{2}Is the algebra at the equal signs correct? If not what went wrong?

Then I make a u -substitution u = cos x then du = -sinx dx then dx = - du/sinx

that makes - int 1/u

^{2}du then i just replace that u with xCorrect ?

Last edited: