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Today's calculation of Integral 22

Source: 2004 Akita Prefectural University

May 23, 2005
calculusintegrationinductiontrigonometrycalculus computations

Problem Statement

Evaluate ∫01(1−x2)ndx (n=0,1,2,⋯ )\int_0^1 (1-x^2)^n dx\ (n=0,1,2,\cdots)
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