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" 10."(1)/(1-cos2x)[2001]...

" 10."(1)/(1-cos2x)[2001]

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(i) int(1)/((1+cos2x))dx , (ii) int (1)/((1-cos2x)) dx

If y,=(1)/(2)log((1-cos2x)/(1+cos2x)), prove that (dy)/(dx),=2cos ec2x

y=(1)/(2)log((1-cos2x)/(1+cos2x)), prove that (dy)/(dx)=2csc2x

int (1-cos2x)/(1+cos2x)dx =

int(1+cos^(2)x)/(1-cos2x)dx=

int(1+cos^(2)x)/(1-cos2x)*dx

Find the sum of the roots (real or complex) of the equation x^(2001)+((1)/(2)-x)^(2001)=0