Question

 qual a integral de $\sqrt{x}$ ₊₄ por decomposição

Answer 1

$\int\sqrt{x}+4\,dx=\\\\\int\sqrt{x}\,dx+\int4\,dx=\\\\\int\,x^{\frac{1}{2}}\,dx+\int4\,dx=\\\\\left[\frac{2}{3}\cdot\,x^{\frac{3}{2}}\right]+\left[1\cdot4x^1\right]=\\\\\frac{2\sqrt[2]{x^3}}{3}+c'+4x+c''=\\\\\boxed{\frac{2x\sqrt{x}}{3}+4x+C}$