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Multivariable Calculus

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Definite Integration

MVCALC-KADNC1

What is the value of the definite integral:

$$\int_0^1 \left( t^2 {\bf i} + t {\bf j} +\cos t {\bf k} \right ) \ dt$$

A

$\frac{1}{3}{\bf i} + \frac{1}{2}{\bf j} + \sin t {\bf k}$

B

$\frac{1}{3} + \frac{1}{2} + \sin 1 $

C

$\frac{t}{3}{\bf i} + \frac{t}{2}{\bf j} + t \sin 1 {\bf k}$

D

$\frac{1}{3}{\bf i} + \frac{1}{2}{\bf j} +t \sin 1 {\bf k}$

E

$\frac{1}{3}{\bf i} + \frac{1}{2}{\bf j} + \sin 1 {\bf k}$