Today's calculation of Integral 331
Source: 2007 Keio University entrance exam/Medical
June 1, 2008
calculusintegrationtrigonometrylogarithmscalculus computations
Problem Statement
For , find the minimum value of \int_0^{\frac {\pi}{2}} \left|\frac {\sin 2x}{1 \plus{} \sin ^ 2 x} \minus{} a\cos x\right| dx.