In each part, evaluate the integralC(3x + 2y) dx + (2x y) dyalong the stated curve.(a)

Chapter 15, Problem 13

(choose chapter or problem)

In each part, evaluate the integral

$\int_{C}(3 x+2 y) d x+(2 x-y) d y$

along the stated curve.

(a) The line segment from $(0, 0) to (1, 1)$.

(b) The parabolic arc $y=x^{2}$ from $(0, 0) to (1, 1)$.

(d) The curve $x=y^{3}$ from $(0, 0) to (1, 1)$.

Equation Transcription:

$\int\limits_{C}^{\ }(3x+2y)dx+(2x-y)\ dy$

$(0,0)\ to\ (1,1)$

$y={x}^{2}$

$y=sin(\pi{}x/2)$

$x={y}^{3}$

Text Transcription:

integral_C (3x + 2y)dx + (2x - y) dy

(0,0) to (1,1)

y=x^2

y=sin(pi x/2)

x=y^3

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