Today's calculation of Integral 260
Source: created by kunny
January 9, 2008
calculusintegrationtrigonometrycalculus computations
Problem Statement
Evaluate \int_{\frac{\pi}{4}}^{\frac{\pi}{3}} \frac{(\sin ^3 \theta \minus{}\cos ^ 3 \theta \minus{}\cos ^ 2 \theta)(\sin \theta \plus{}\cos \theta \plus{}\cos ^ 2 \theta)^{2007}}{\sin ^ {2009}\theta \cos ^ {2009}\theta}\ d\theta