Describe the strategy you would use to integrate:
integral cot^m(x)*csc^n(x) dx .............if m and n are odd
work shown:
first you would express cot^m(x) in term of tan^m(x), secondly you would express csc^n(x) in terms of sin(x)
therefore cot^m(x)= 1/ tan^m(x)
therefore, csc^n(x)= 1/ sin^n(x)
therefore you would express 1/tan^m(x) in terms of sin^m(x) and cos^m(x).. which equals cos^m(x)/sin^m(x)
therefore integral of cot^m(x) csc^n(x) becomes integral of (cos^m(x)/sin^m(x)) *1/sin^n(x) dx
i don't know what to do with the rest... please help me with this question.. i'm stuck
integral cot^m(x)*csc^n(x) dx .............if m and n are odd
work shown:
first you would express cot^m(x) in term of tan^m(x), secondly you would express csc^n(x) in terms of sin(x)
therefore cot^m(x)= 1/ tan^m(x)
therefore, csc^n(x)= 1/ sin^n(x)
therefore you would express 1/tan^m(x) in terms of sin^m(x) and cos^m(x).. which equals cos^m(x)/sin^m(x)
therefore integral of cot^m(x) csc^n(x) becomes integral of (cos^m(x)/sin^m(x)) *1/sin^n(x) dx
i don't know what to do with the rest... please help me with this question.. i'm stuck