Evaluate : `int_(a)^(b)(x)/(sqrt((x-a)+(b-x)))dx`

evaluate : int _(a)^(b) (dx)/(sqrt(x))

int ((x-a)(b-x))dx

evaluate : int _(a)^(b) sqrt(x) dx

int_(a)^(b)e^(x)dx

int_(a)^(b)sqrt((x-a)/(x-b))dx

Evaluate: int(dx)/(sqrt((x-1)(2-x))) by the substitution x=1+sin^(2)theta . Hence, find the value of int_(1)^(2)(dx)/(sqrt((x-1)(2-x)))

Evaluate: int_a^b x^3dx

int_(a)^(b)x^(2)dx

Evaluate: int_0^(1)x(dx)/(sqrt(1-x^(2)))

Evaluate: int(e^x)/(sqrt(4-e^(2x)))\ dx