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" Integral of "sqrt(1+2cot x(cot x+cos e...

" Integral of "sqrt(1+2cot x(cot x+cos ecx))" w.r.t."x" is "

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int sqrt(1+2cot x(cot x+cos ecx))dx

sqrt(1+2cot x(cos ecx+cot x))dx=

3tan x+cot x=5cos ecx

Integrate: int cos ecx (cos ecx +cot x) dx

int x cos ecx cot xdx=

(cos ec x+cot x)/(cos ecx-cotx)