- #1
Geronimo85
- 20
- 0
I'm supposed to integrate the following expression, and supposedly there is a very simple way to do so. Maple comes up with something rediculous, so I'd appreciate any input. Sorry about the short hand, don't know how to make everything pretty on here:
Integral[(e^ax)cos^2(2bx)dx] where a and b are positive constants
So far all I've got is:
(e^ax)cos^2(2bx)= (e^ax)*[(e^(i*2*b*x) - e^(-i*2*b*x))/2]^2
because: cosx = (e^ix - e^-ix)/2
squaring inside the brackets gets me:
(e^ax)* [((e^(i*2*b*x)-e^(-i*2*b*x)/2)^2]
I'm just really not getting something here
Integral[(e^ax)cos^2(2bx)dx] where a and b are positive constants
So far all I've got is:
(e^ax)cos^2(2bx)= (e^ax)*[(e^(i*2*b*x) - e^(-i*2*b*x))/2]^2
because: cosx = (e^ix - e^-ix)/2
squaring inside the brackets gets me:
(e^ax)* [((e^(i*2*b*x)-e^(-i*2*b*x)/2)^2]
I'm just really not getting something here