Homework SourseIm having a lot of trouble integrating this equation cos3th
Im having a lot of trouble integrating this equation:
? cos^3(theta)cos^2(theta) d(theta)
I understand know the half angle formulas, but I don\'t understand how to actually use them when trying to integrate an equation like this. Could anyone help me answer this and explain what the objective is to using the formulas? Thank you!
? cos^3(theta)cos^2(theta) d(theta)
I understand know the half angle formulas, but I don\'t understand how to actually use them when trying to integrate an equation like this. Could anyone help me answer this and explain what the objective is to using the formulas? Thank you!
Solution
cos*cos^2*cos^2
cos*(1-sin^2)^2 d
sin=t
cosd=dt
(1-t^2)^2dt
(1+t^4-2t^2 )dt
integrate
t+t^5/5 -2t^3/3 +c
=sin+sin^5/5-2sin^3/3 + c
