Calculus Help please

Question

Cleaning pumps remove oil at the rate modeled by the function R, given by  with t measure in hours and and R(t) measured in gallons per hour. How much oil will the pumping stations remove during the 6-hour period from t = 0 to t = 6? Give 3 decimal places.

Answer 1

Amount of oil∫, A(t) = ∫R(t)dt integrated over 6 hours

∫₀⁶ 2+cos(πt/11) dt = 2t+(11/π)sin(πt/11)|₀⁶

= 12 + (11/π)sin(6π/11)

Just finish the math