`int e^x(2010 cos 2009x-2008 sin 2009x)\ dx` equals

int ( cos x - sin x ) dx is equal to :

int e ^(x) ( sin x + 2 cos x ) sin x dx is equal to

int e^(x)(cos x-sin x)dx is equal to

int e^(x)(1+sin x cos x)/(cos^(2)x)dx is equal to

int (dx)/(cos x-sin x) is equal to :

int sin x*e^(cos x)dx

int ( dx)/(cos x - sin x ) is equal to :

int cos^(3)x.e^(log(sin x)) dx is equal to

If cos^(2009)x_(1) + cos^(2009)x_(2) + cos^(2009)x_(3) + ………. +cos^(2009)x_(2009) = 2009 , then sin^(2009)x_(1) + sin^(2009)x_(2) + sin^(2009)x_(3) +…………..+ sin^(2009)x_(2009) is equal to

If cos^(2009)x_(1) + cos^(2009)x_(2) + cos^(2009)x_(3) + ………. +cos^(2009)x_(2009) = 2009 , then sin^(2009)x_(1) + sin^(2009)x_(2) + sin^(2009)x_(3) +…………..+ sin^(2009)x_(2009) is equal to