Today's calculation of Integral 218
Source: Muroran Institute of Technology entrance exam 1984
August 28, 2007
calculusintegrationquadraticsfunctiontrigonometrycalculus computations
Problem Statement
For any quadratic functions 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.