Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. ? 1. L • 31π sin(0) arctan(e) de -5л 2. ? L " 17 1 dx 0 8 3. ? L sin(4z) dz

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Q: 4.1 In aerodynamics and fluid mechanics, the functions u(x,y) and v(x,y) in f(z) = u(x,y) + iv(x,y),…

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A: Given: verify that ∫cotxdx=lnsinx+c For verifying given integral, we integrate given integral

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Q: 5. Evaluate the following integral: S/3x tan?(x) dx (Hint: Use a substitution first)

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Q: 6. fe cos' (r') di

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Q: Suppose an object is moving according to velocity v(t) = t cos? t cm/s. Here t is mea- sured in…

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