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" 4."sec(tan sqrt(x)),cos(sqrt(x)),2sqrt...

" 4."sec(tan sqrt(x)),cos(sqrt(x)),2sqrt(cot)(x^(2))

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int(tan sqrt(x)sec^(2)sqrt(x))/(sqrt(x))dx

int(tan^4sqrt(x)sec^2sqrt(x))/(sqrt(x))dx

int(tan^(4)sqrt(x)sec^(2)sqrt(x))/(sqrt(x))dx

int(tan^4sqrt(x)sec^2sqrt(x))/(sqrt(x))dx =

int (tan^(4)sqrt(x)sec^(2)sqrt(x))/(sqrt(x))dx

Integrate the function w.r.t. x (tan^(4)sqrt(x)sec^(2)sqrt(x))/(sqrt(x))

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C