💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here! # Use a calculator to evaluate the line integral correct to four decimal places.$\displaystyle \int_C \textbf{F} \cdot d\textbf{r}$, where $\textbf{F}(x, y, z) = yze^x \, \textbf{i} + zxe^y \, \textbf{j} + xye^z \, \textbf{k}$ and $\textbf{r}(t) = \sin t \, \textbf{i} + \cos t \, \textbf{j} + \tan t \, \textbf{k}$, $0 \leqslant t \leqslant \pi/4$

## $0.927136$

Vector Calculus

### Discussion

You must be signed in to discuss.
##### Top Calculus 3 Educators  ##### Heather Z.

Oregon State University  ##### Michael J.

Idaho State University

Lectures

Join Bootcamp

### Video Transcript

for these problems again, I'll set it up for you and leave you to use copulate so half off our T should be Why these co scientist tension T which is society He threw the x z axis sci fi ten gente which it's sai skirt he over coast ninety Peter the Why x Why? Nothing due attention on se. Okay, the heart problem t simply cose i t hi minus sign t say plus that derivative of tensions Stephen Square. So you have to interpret from zero toe pi over four. You take the dot product side Coast city It was a society minus I cube t over Coast city. He was a co sign t because this is one of the cause I square. So you have sign t holder co sign T and which is ten twenty if you want to write that way. It was ten gente and there's no idea Cables start production a scaler and Petey Okay, this one you've used so cooperator to estimate There #### Topics

Vector Calculus

##### Top Calculus 3 Educators  ##### Heather Z.

Oregon State University  ##### Michael J.

Idaho State University

Lectures

Join Bootcamp