Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!

Like

Report

YZ
Numerade Educator

Like

Report

Problem 46 Easy Difficulty

For the following exercises, use a computer algebra system (CAS) to evaluate the line integrals over the indicated path.
$$
[\mathrm{T}] \int_{C}\left(x^{2}+y^{2}+z^{2}\right) d s
$$
$$
C : \mathbf{r}(t)=\sin t \mathbf{i}+\cos t \mathbf{j}+8 t \mathbf{k} \text { when } 0 \leq t \leq \frac{\pi}{2}
$$

Answer

$\frac{\sqrt{65}}{6} \pi\left(3+16 \pi^{2}\right)$

Discussion

You must be signed in to discuss.

Video Transcript

the pyramid is a function is given by or equals to sci fi Cosan, Z and eight. So here's our d s over dt as the model cousin Score plus ones waste one who has a swears 46 64. So we have swirled with Susie five and the integral is given by I'll see we have x square plus voice work Z score D s. Well, then we have zero to have pie one was 64 piece where Times Square with 65 t t in the answer equals two square within 65 over six pi times three plus 16 Paice Warrior

YZ
University of Illinois at Urbana-Champaign
Top Precalculus Educators
Lily A.

Johns Hopkins University

MC
Megan C.

Piedmont College

Heather Z.

Oregon State University

Michael J.

Idaho State University