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Split x^4/[(x^2+4)*(x-2)^2] into partial fractions and hence differentiate it

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Compute the derivative of arcsin(x).

Integrate xsin(x).

'Find the first derivative, with respect to x, of arctan(1/x) for non-zero real x. Hence show that the value of arctan(x)+arctan(1/x) is constant for all non-zero x, explicitly stating this constant in your final answer.' How do I solve this?

Show that the square of any odd integer is of the form (8k+1)

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