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388

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 388

Source: 2004 Tsukuba University entrance exam

11/13/2008
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.
calculusintegrationtrigonometryquadraticscalculus computations