Evaluate D dx . (x=1)(x² +4)

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A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

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A:

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A:

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A: Integration

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A:

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A:

Q: . dx D. 4t + 7) dt 22. 4 + dx х

A:

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A: Student has specifically asked for the solution to the question (3). That is why, answer to that…

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A:

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A: The integration of the 1/(1-2cosx).

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A:

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A: use a partial fraction to solve the integral.

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Q: X 2 dx = V4-x2

A: I=∫01x24-x2dx =∫01(4-x2)+44-x2dx =∫014-x24-x2dx+∫0144-x2dx =∫014-x2dx+4∫0114-x2dx Here  ⇒∫a2-x2…