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" 4.Let "f(theta)=(1)/(1+(cot theta)^(x)...

" 4.Let "f(theta)=(1)/(1+(cot theta)^(x))" and "S=sum_(theta=1^(0))^(89^(0))f(theta)." Then the value of "sqrt(2S-8)=

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f(theta)=int_0^1 (x+sin theta)^2 dx