1. Mathematics
2. Calculus and Analysis
3. Real Analysis
4. Integrals
5. 38010

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If C is the curve given by r(t) = (1 + 3 sin t) i + (1 + 5 sin^2 t) j + (1 + 5 sin^3 t) k, 0 ≤ t ≤ π/2 and F is the radial vector field F(x, y, z) = xi + yj + zk, compute the work done by F on a particle moving along C.