5.3 The Fundamental Theorem of Calculus/21

$\int \limits _{1}^{4}(5-2t+3t^{2})dt$

$\int 5dt-\int 2tdt+\int 3t^{2}dt=5t-t^{2}+t^{3}$

$(5t-t^{2}+t^{3}){\bigg |}_{1}^{4}=5\cdot 4-4^{2}+4^{3}-(5\cdot 1-1^{2}+1^{3})=63$