Evaluating a line integral: area under a surface over a curve.
Find the area under the surface \(f(x,y) = \cos(x) + \sin(y) + 2\) over the curve \(C\), which is the segment of the line \(y = 2x + 1\) on \(-1 \leq x \leq 1,\) as shown in Figure 14.1.2.
line-integralscalar-line-integralparameterizationarea-under-surfacemultivariable-calculusdefinite-integraltrigonometric-integralscalculus-iiiarc-length-differentialvector-valued-functionsfind-areaevaluate-integral
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