Jul 23, 2008 #1 P pdcom Newbie level 6 Joined Jul 17, 2008 Messages 14 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,369 Hi friends! can anyone help me in solving following integral (in attachment). thanks. waiting for solution
Hi friends! can anyone help me in solving following integral (in attachment). thanks. waiting for solution
Aug 5, 2008 #2 gaffar Member level 1 Joined Jul 14, 2006 Messages 32 Helped 6 Reputation 12 Reaction score 3 Trophy points 1,288 Location Turkey Activity points 1,441 Re: definite integral \[\frac{1}{\pi}\int_0^{\pi/2} \frac{\sin^2(\theta)}{\gamma_0+\sin^2(\theta)}d\theta=\frac{1}{\pi} [ x-\frac{\sqrt{\gamma_0} Arctan(\sqrt{\frac{1+\gamma_0}{\gamma_0}}Tan(x))}{\sqrt{1+\gamma_0}}]_0^{\pi/2}\] or you can use MATLAB's "quad" function to evaluate the integral numerically.
Re: definite integral \[\frac{1}{\pi}\int_0^{\pi/2} \frac{\sin^2(\theta)}{\gamma_0+\sin^2(\theta)}d\theta=\frac{1}{\pi} [ x-\frac{\sqrt{\gamma_0} Arctan(\sqrt{\frac{1+\gamma_0}{\gamma_0}}Tan(x))}{\sqrt{1+\gamma_0}}]_0^{\pi/2}\] or you can use MATLAB's "quad" function to evaluate the integral numerically.