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Today's calculation of Integral 388

Source: 2004 Tsukuba University entrance exam

November 13, 2008
calculusintegrationtrigonometryquadraticscalculus computations

Problem Statement

For f(x)\equal{}\sin ^ 3 x, let p(x) p(x) be quadratic polynomial. Evaluate ∫02πp(x)f′′(x) dx \int_0^{2\pi} p(x)f''(x)\ dx.
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