- Calculus, Volume 1: One Variable Calculus, with an Introduction to Linear Algebra
- Tom M. Apostol
- Second Edition
- 1967
- 978-1-119-49673-1
14.4 Exercises
- Compute the vector-valued integral:$$\int_0^1 (t, \sqrt{t}, e^t)\,dt$$
- Evaluating the integrals component-wise, we get: $$\left(\frac{t^2}{2},\ \frac{2}{3}t^{3/2},\ e^t\right)\Biggr|_0^1 = \left(\frac{1}{2},\ \frac{3}{2},\ e - 1\right)$$