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(cos 4x)/(sin 2x)...

`(cos 4x)/(sin 2x)`

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`(1)/(2)log|tan x|+cos 2x+c`
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int(cos4x)/(sin^(2)x)dx=

int(cos^(4)x)/(sin^(2)x)dx

If int(cos^(4)x)/(sin^(2)x)dx=A cot x +B sin 2x +(C)/(2)x+D , then

int_(0)^( pi/4)(cos x)/(4-sin^(2)x)*dx

int_(0)^( pi/4)(cos x)/(4-sin^(2)x)*dx

Evaluate : int_(0)^((pi)/(4)) (cos x)/(4-sin^(2)x)dx

f(x)=(cos3x-cos4x)/(x sin2x),x!=0,f(0)=(7)/(4) then f(x) at x=0is,x!=0,f(0)=(7)/(4)

" (6) "int(cos x)/(4-sin^(2)x)*dx

If f(x)=(cos3x-cos4x)/(x sin2x),x!=0,f(0)=(7)/(4) then f(x) at x=0 is