(a) Evaluate the integral of the function: y(x) = ((3x + 1)/(2x^2 − 2x + 3))
(b) Find the constant A, B, C in the identity:
((3x^2 − ax)/((x − 2a)(x^2 + a^2 ))) ≡ (A/((x − 2a))) + ((Bx + Ca)/((x^2 + a^2 )))
where a is a constant, hence prove that.
∫_0 ^( 2) ((3x^2 − ax)/((x − 2a)(x^2 + a^2 ))) dx = (π/4) − (3/2) ln(2)
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