Find the integral of the given function w.r.t. x. `1/\sqrt {2x-x^2}`

Find the integral of the given function w.r.t.x.: sqrt((9x)-4x^(2))

Find the integral of the given function w.r.t. x.: (x+2)/sqrt((x^(2)+2x+3)

Find the derivative of the following functions w.r.t x (i) sqrt(3x -2) for x gt 2/3 (ii) (2x^(2) +3)^(5/3) (x+5)^(-1/3)

Integrate the following functions w.r.t x 1/(1 - sin x)

Find the derivative of the following function w.r.t 'x' : x^(6)+3x^(2)-5

Find the derivative of the following function w.r.t 'x' : (x^(2)sinx)/(1-x)

Integrate the functions sqrt(1-4x^2)

Integrate the functions sqrt(x^2+3x)

Find the derivative of the following function w.r.t 'x' : 3 sin x+ b cos x

Integrate the following functions w.r.t x x(x+1)(x+2)