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Evaluate the line integral, where
C is the given curve.

int_(C)x sin(y)ds,C is the line segment from
(0,1) to
(4,4)

Evaluate the line integral, where $C$ is the given curve. $\newline$ $\int_{C} x \sin (y) d s, C$ is the line segment from $(0,1)$ to $(4,4)$

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Find indefinite integrals using the substitution and by parts

Full solution

Q. Evaluate the line integral, where

C

is the given curve.

\newline

\int_{C} x \sin (y) d s, C

is the line segment from

(0,1)

to

(4,4)

Parameterize Curve C: Step $1$ : Parameterize the curve $C$ from $(0,1)$ to $(4,4)$ .
Calculate $ds$ : Step $2$ : Calculate $ds$ , the differential arc length.
Substitute into Integral: Step $3$ : Substitute the parameterization into the integral.
Integrate by Parts: Step $4$ : Integrate using integration by parts.

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