How can I intergrate: e^(sin theta) cos theta Thanks forany help.
D dangerous_dave New member Joined Mar 13, 2008 Messages 21 May 11, 2008 #1 How can I intergrate: e^(sin theta) cos theta Thanks forany help.
O o_O Full Member Joined Oct 20, 2007 Messages 396 May 11, 2008 #2 \(\displaystyle \int e^{\sin \theta} \: \cos \theta d\theta\) \(\displaystyle u = \sin \theta\) \(\displaystyle du = \cos \theta d\theta\) Making the subs: \(\displaystyle \int e^{\overbrace{\sin \theta}^{u}} \overbrace{\cos \theta d\theta}^{du}\)
\(\displaystyle \int e^{\sin \theta} \: \cos \theta d\theta\) \(\displaystyle u = \sin \theta\) \(\displaystyle du = \cos \theta d\theta\) Making the subs: \(\displaystyle \int e^{\overbrace{\sin \theta}^{u}} \overbrace{\cos \theta d\theta}^{du}\)
D dangerous_dave New member Joined Mar 13, 2008 Messages 21 May 12, 2008 #3 Are you saying that, when integrated, its the same as before?
skeeter Elite Member Joined Dec 15, 2005 Messages 3,216 May 12, 2008 #4 that's not what o_0 said ... \(\displaystyle \int e^{\sin{\theta}} \cos{\theta} \, d \theta = e^{\sin{\theta}} + C\)
that's not what o_0 said ... \(\displaystyle \int e^{\sin{\theta}} \cos{\theta} \, d \theta = e^{\sin{\theta}} + C\)