(y + 4 sin x) dx + (z2 + 2 cos y) dy + x3dz where C is the curve
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You first have to observe that r(t) = sin t i+ cos t j sin 2t k is negative oriented
Using Stoke's theorem:
Lower limit: C
Integral of equation with lower limit of c (y = sin^3 x) dx + (z^2 + cos^4y) dy + (x^3 + tan^5z) dz = - double integral of lower limit S delta F ds
where:
S (surface z) = 2xy bounded by D = Open Bracket x^2 + y^2 less than or equal to 1 close bracket ....
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