MathDB
Today's calculation of Integral 234

Source: Musashi Institute of Technology entrance exam 1993

October 10, 2007
calculusintegrationfunctiontrigonometrycalculus computations

Problem Statement

For x≥0, x\geq 0, define a function f(x)\equal{}\sin \left(\frac{n\pi}{4}\right)\sin x\ (n\pi \leq x<(n\plus{}1)\pi )\ (n\equal{}0,\ 1,\ 2,\ \cdots). Evaluate ∫0100πf(x) dx. \int_0^{100\pi } f(x)\ dx.
Back to ProblemsView on AoPS