calka, trygonometria
: 22 gru 2008, o 21:07
\(\displaystyle{ \int cos(2x)(cos(x)+sin(x)) ^{5} dx}\)
\(\displaystyle{ \int_{}^{} cos2x * (cosx +sinx)^{5} = ( cos^{2} x - sin^{2} x ) * (cosx +sinx)^{5} = \\\int_{}^{} (cosx - sin x ) * (cosx +sinx)^{6} }\)
\(\displaystyle{ sinx + cos x = t}\)
\(\displaystyle{ ( cosx - sinx ) = \mbox{d}t}\)
\(\displaystyle{ \int_{}^{} t^{6} \mbox{d}t = ...}\)