Evaluate the integral
I=∫x2+2x+25x−4dx.
Answer the parts below in order:
(i) Rewrite the quadratic denominator in completed‐square form.
(ii) Express the integrand as a sum of two simpler fractions involving constants A and B to be determined.
(iii) Hence, obtain the exact value of I in terms of elementary logarithmic and inverse‐trigonometric functions, simplifying your final result.