Q6 of 865 Page 19

Evaluate the following integrals:

Given


Expressing the integral




Consider


Let x = 1/2 (2x – 1) + 1/2 and split,




Consider


Let u = x2 – x + 1 → dx = du/2x – 1




We know that



Now consider



Let




We know that



Then,





Now


We know that





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