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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/cot2
int csc x/cot2x dx= int csc/cos2/sin2
= int cscsin2/cos2
= int 1/sin * sin2/cos2
= int sin/cos2
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/u2du then i just replace that u with x
Correct ?
Note:: I left the x and dx out for clarity.
Homework Statement
int csc/cot2
The Attempt at a Solution
int csc x/cot2x dx= int csc/cos2/sin2
= int cscsin2/cos2
= int 1/sin * sin2/cos2
= int sin/cos2
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/u2du then i just replace that u with x
Correct ?
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