Solve J _ { 6 } = ∫ (from 0 to sqrt { 2) of wrt x/x+sqrt{4-x^2}

$$J _ { 6 } = \int _ { 0 } ^ { \sqrt { 2 } } \frac { d x } { x + \sqrt { 4 - x ^ { 2 } } }$$

Solve for J_6

$$J_{6}=\int _{0}^{\sqrt{2}}\frac{1}{\sqrt{4-x^{2}}+x}\mathrm{d}x$$

$$x\neq -\sqrt{2}\text{ and }|x|\leq 2$$

Assign J_6

$$J_{6}≔\int _{0}^{\sqrt{2}}\frac{1}{\sqrt{4-x^{2}}+x}\mathrm{d}x$$

$$x\neq -\sqrt{2}\text{ and }|x|\leq 2$$