Integration of Equations General Math Question

Hey, need some help on a problem, think its classed as integration, but may be wrong?

I have formulated this equation, but dont know how to get to the next step

$LaTeX Code: \\therefore\\: -MA*1 + RA \\frac{1^2}{2} - 29.43 * 0.4 - 19.62 * 0.85$

This is a similar equation that has been solved

$LaTeX Code: \\therefore -\\;MA * 20 + RA * \\frac{20^2}{2}- \\frac{20^3}{8} + \\frac{10^3}{8} -6 * 5^2\\;=\\;0$

and here is the solution

$LaTeX Code: \\displaystyle \\therefore\\;\\;\\;\\;\\;\\;10\\;R_a\\;-\\;M_a\\;=\\;\\frac{205}{4}$

----

I dont know, and cant figure out how to achieve this result for the top formula? Calculus is not my strong point at all.

This is not homework, this is related to a problem i am trying to solve.

Thanks for any help