Evaluate the integral.

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

\int \left( \frac{1}{1+t^2} \mathbf{i} + te^{t^2} \mathbf{j} + \sqrt{t} \mathbf{k} \right) dt