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For x in [0, (pi)/(2)] if int(tan x sqrt...

For `x in [0, (pi)/(2)]` if `int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c` and `f((pi)/(3))=(3)/(2)` then `f((pi)/(4)) = `(where[.] denotes I F)

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For x in(0, (pi)/(2)) If int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then [f((pi)/(4))] = ( where [.] denotes G.I.F )

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