Solve =frac{(4+x^2)^frac{5{2}}}{3}-4sqrt{4+x^2}+c

$$= \frac { ( 4 + x ^ { 2 } ) ^ { \frac { 5 } { 2 } } } { 3 } - 4 \sqrt { 4 + x ^ { 2 } } + c$$

Factor

$$\frac{\left(x^{2}+4\right)^{\frac{5}{2}}-12\sqrt{x^{2}+4}+3c}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{\left(4+x^{2}\right)^{\frac{5}{2}}-12\sqrt{4+x^{2}}+3c}{3}$$

Evaluate

$$\frac{\left(x^{2}+4\right)^{\frac{5}{2}}}{3}-4\sqrt{x^{2}+4}+c$$