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

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

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

Prove that : int_0^(pi/2)sqrt(1-sin2x)dx=2(sqrt(2)-1)

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

int(1)/(sqrt(3x-2))dx

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

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

int(dx)/(sqrt(1-2x)+sqrt(3-2x)) =

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