Section 13.2: Derivatives and Integrals of Vector Functions

Find \(\mathbf{r}(t)\) if \(\mathbf{r}'(t) = 2t\mathbf{i} + 3t^2\mathbf{j} + \sqrt{t}\mathbf{k}\) and \(\mathbf{r}(1) = \mathbf{i} + \mathbf{j}\).