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Wolfram|Alpha Community • View topic - integrate(1/(1+cos(x)^2...
Instead it is: "integral 1/(1+cos^2(x)) dx = (tan^(-1)((tan(x))/sqrt(2)))/sqrt(2)+ constant" But "d/dx(tan(x)) = sec^2(x)" . also "integral sec^2(x) dx ... |
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Trig Integral S (1+cos(x))^2 dx - Free Math Help
So the problem I am attempting to complete is this: "Evaluate the integral S (1+ cos(x))2 dx ." I attempted just foiling out (1+cos(x))2 to get S ... |
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Integration by parts : $\int 2x \cos(x^2 + 1) dx - Math StackExchange
What is $\int 2x \cos(x^2 + 1) dx$? ok, so this is driving me crazy. I use integration by parts so: $$\int f(x)g'(x)dx = f(x)g(x)-\int f'(x)g(x)dx$$ ... |
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Integral of $\sin (2x)/(1+\cos^2 x) - Math StackExchange
By the double angle formula, $\sin(2x) = 2 \sin(x)\cos(x)$. $$\int \frac{\sin(2x)}{1 + \cos^2(x)}dx = \int \frac{2\sin(x)\cos(x)}{1+\cos^2(x)}dx$$. |
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Integrate (1/(1-cos x)) dx - Physics Forums
Thanks for your help. Now I've got the integral of (1+cosx)/(sin x)^2 dx. Will I use a u substitution after applying the reciprocal identities. |
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Integral (cos x)^2 dx - Physics Forums
Integral (cos x)^2 dx in Calculus is being discussed at Physics Forums. ... cos2x- sin2x=cos2x. Therefore cos2x=(1+cos2x)/2. I'll let you finish. |
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Trig integrals. sqrt(1-cos2x)dx - OpenStudy
Well, cos(2x) = cos^2 x - sin^2 x = 1 - 2sin^2 x, hence \[ \sqrt{1 - \cos 2x} = \sqrt{1 - (1 - 2\sin^2 x)} \] which can be nicely simplified. one year ago. dfresenius ... |