jet
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- Jan 4, 2007
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- 2009
My solution is the same as yours - I applied a trig transformation to simplify the expression. If you expand mine as a difference of two angles, you will get the same result.
If you think about it, you really only see multiple answers when the integrals involve trigonometric functions, because they can all be easily manipulated into on another (through transforms, pythagorean identities, sum/difference of angles etc etc.). It's not that my answer is different, it's just expressed differently.
I actually graphed the wolfram mathematica answer on top of mine, and they were exactly the same.
If you think about it, you really only see multiple answers when the integrals involve trigonometric functions, because they can all be easily manipulated into on another (through transforms, pythagorean identities, sum/difference of angles etc etc.). It's not that my answer is different, it's just expressed differently.
I actually graphed the wolfram mathematica answer on top of mine, and they were exactly the same.