Integral (t^3+3)t^2 dt=

Integral (t^3+3)t^2 dt=

$int( {t}^{3} + 3) {t}^{2} dt \ = int( {t}^{5} + 3 {t}^{2} )dt \ = frac{1}{5 + 1} {t}^{5 + 1} + frac{3}{2 + 1} {t}^{2 + 1} + c \ = frac{1}{6} {t}^{6} + {t}^{3} + c$