Integrating Vector-Valued Functions Practice Test

A particle’s acceleration is $\vec a(t)=\langle 6t,,-4\rangle$ with $\vec v(0)=\langle 1,2\rangle$; find $\vec v(t)$.

Compute $\int \langle e^t,,\frac{1}{1+t^2}\rangle,dt$ as an antiderivative vector.