calka, trygonometria

MasterPit · Post autor: **MasterPit** » 22 gru 2008, o 21:07

\(\displaystyle{ \int cos(2x)(cos(x)+sin(x)) ^{5} dx}\)

Symetralna · Post autor: **Symetralna** » 22 gru 2008, o 22:19

\(\displaystyle{ \int_{}^{} cos2x * (cosx +sinx)^{5} = ( cos^{2} x - sin^{2} x ) * (cosx +sinx)^{5} = \\\int_{}^{} (cosx - sin x ) * (cosx +sinx)^{6} }\)

\(\displaystyle{ sinx + cos x = t}\)

\(\displaystyle{ ( cosx - sinx ) = \mbox{d}t}\)

\(\displaystyle{ \int_{}^{} t^{6} \mbox{d}t = ...}\)

MasterPit · Post autor: **MasterPit** » 22 gru 2008, o 23:57

Hmmm... a na to nie wpadlem Dzieki wielkie