∫(cos^2 x-1)d(cosx)/cos^(5/7)x=∫cos^(2-5/7)d(cosx)-∫cos^(-5/7)d(cosx)=
=cos^(16/7)x:(16/7)-cos^(2/7)x:(2/7)=7/16*cos^(16/7)x-3.5cos^(2/7)x=
подстановка
=-7/16+7/2=49/16
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∫(cos^2 x-1)d(cosx)/cos^(5/7)x=∫cos^(2-5/7)d(cosx)-∫cos^(-5/7)d(cosx)=
=cos^(16/7)x:(16/7)-cos^(2/7)x:(2/7)=7/16*cos^(16/7)x-3.5cos^(2/7)x=
подстановка
=-7/16+7/2=49/16