Trig. Integral

  • #1
∫(cot^4 x) (csc^4 x) dx

Wolfram wants to use the reduction formula, but I'm meant to do this just using identities and u substitution. I was thinking something along the lines of:

=∫cot^4 x (cot^2 x + 1)^2 dx

=∫cot^8 x + 2cot^6 x + cot^4 x dx

but I don't know where to go from there.
 

Answers and Replies

  • #2
Try ∫(cot^4 x) (1+cot^2 x) (csc^2 x) dx

Whats the derivative of cot(x)?
 
  • #3
Thanks. Worked it out with that in mind. I appreciate it : D
 

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