2330 Evaluate the line integral along the curve C. Cx2 dx + xy dy + z2 dzC : x = sin t

Chapter 15, Problem 30

(choose chapter or problem)

Evaluate the line integral along the curve $C$.

$\int_{C} x^{2} d x+x y d y+z^{2} d z$

$C: x=\sin t, \quad y=\cos t, \quad z=t^{2} \quad(0 \leq t \leq \pi / 2)$

Equation Transcription:

$C$

$\int\limits_{C}^{\ }{x}^{2}dx\ +xy\ dy+{z}^{2}dz$

$C:x=sin\ t,\ \ y=cos\ t,\ \ z\ ={t}^{2}\ \ \ (0\leq{}t\leq{}\pi{}/2)$

Text Transcription:

integral_C x^2 dx + xy dy + z^2 dz

C: x = sin t, y = cos t, z = t^2 (0 leq t leq pi/2)

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