Finding the indefinite integral of 2x + 5 (1-x ^ 2) ^ (- 1 / 2)

Finding the indefinite integral of 2x + 5 (1-x ^ 2) ^ (- 1 / 2)

∫ 2x+5(1-x^2)^(-1/2) dx
=∫ 2xdx + 5∫1/√(1-x^2) dx
=X ^ 2 + 5arcsinx + C [basic quadrature formula]