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218

Part of 2007 Today's Calculation Of Integral

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Today's calculation of Integral 218

Source: Muroran Institute of Technology entrance exam 1984

8/28/2007
For any quadratic functions f(x) f(x) such that f'(2)\equal{}1, evaluate \int_{2\minus{}\pi}^{2\plus{}\pi}f(x)\sin\left(\frac{x}{2}\minus{}1\right) dx.
calculusintegrationquadraticsfunctiontrigonometrycalculus computations