Evaluate the integral.

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

Problem

\int_{0}^{1} \left( \frac{1}{t+1} \mathbf{i} + \frac{1}{t^2+1} \mathbf{j} + \frac{t}{t^2+1} \mathbf{k} \right) dt