MathDB
Today's calculation of Integral 349

Source: 2008 Saga University entrance exam/Science and Technology

June 20, 2008
calculusintegrationtrigonometrysymmetrycalculus computations

Problem Statement

For real numbers a, b (ab0) a,\ b\ (ab\neq 0), evaluate \int_0^{\pi} (a\sin x\plus{}b\cos x)^6 dx.