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18int(0)^((1)/(2))(dx)/(sqrt(3-2x))...

18int_(0)^((1)/(2))(dx)/(sqrt(3-2x))

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int_(0)^((1)/(2))(1)/(sqrt(3-2x))dx=sqrt(3)-sqrt(2)

Evaluate : int_(0)^(1)(dx)/(sqrt(3-2x))

int_(0)^(1) (dx)/(sqrt(3-2x))

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int_(0)^((pi)/(2))(dx)/(1+sqrt(tan x))=int_(0)^((pi)/(2))(dx)/(1+sqrt(cot x))=(pi)/(4)

int_(0)^((pi)/(2))(dx)/((1-2x^(2))sqrt(1-x^(2)))=(1)/(2)log(2+sqrt(3))

int_(0)^((pi)/(2))(dx)/((1-2x^(2))sqrt(1-x^(2)))=(1)/(2)log(2+sqrt(3))

int_0^1(dx)/(sqrt(3-2x))

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