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Multivariable & Vectorhard
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Calculate the outward flux of the vector field F=⟨x3+ey2,y3+sin⁡(z2),z⟩\mathbf{F} = \langle x^3 + e^{y^2}, y^3 + \sin(z^2), z \rangleF=⟨x3+ey2,y3+sin(z2),z⟩ through the boundary of the solid cylinder defined by x2+y2≤4x^2 + y^2 \le 4x2+y2≤4 and 0≤z≤30 \le z \le 30≤z≤3.