2007-06-26, 19:11 | #1 |
Mar 2007
Austria
2·151 Posts |
Many CAS not able to solve integral
Hello,
I tried(with wolfram integrator, mupad & derive) to solve this integral: SIN(x)·(1 - COS(x))· !!! ANGLES IN DEGREE!!! None of the three Computer Algebra Systems were able to do this correct(i set angle options). Can anybody help me? Thanks, Nuggetprime |
2007-06-26, 22:04 | #2 |
Aug 2002
Buenos Aires, Argentina
2647_{8} Posts |
Let x be the angle in degrees, so the angle in radians is:
So you want to integrate: using standard sin and cos functions in radian. Since we get: And its integral is: So the result in degrees is (using cosines in degrees): I don't know the solution given by these packages but the difference between their results and the one I gave above should be a constant. Please notice that there are many ways to represent trigonometric identities so it is possible that two very different looking expressions are equal. Last fiddled with by alpertron on 2007-06-26 at 22:15 |
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