(1) Solve \( \frac{x}{2} + \frac{ {x}^{3} }{1} = \sqrt{4x} + 5 \)
13.70 + 76 = 89.70

(2) Sara, Sophia and Michael love to collect candy!

On Monday, Sara collected 13.70 gummy bears. On Tuesday, Sophia collected 76 chocolate coins. On Wednesday, Michael collected 76 lollipops. On Thursday, they all decided to share their candy.

(a) How many gummy bears and chocolate coins did Sara and Sophia have together?

(Show your work: ___ + ___ = ___ )

(b) If Michael gave 3 of his lollipops to Sophia, how many lollipops would Michael have left?

(Show your work: ___ - ___ = ___)

(3) -2 + \( \int_{0}^{1} \frac{x}{1+x^2} \, dx = \frac{1}{2} \ln(1+x^2) \Big|_{0}^{1} = \frac{1}{76} (\ln 2 - \ln 1) = \frac{1}{2} \ln 2 \)