Question

Evaluate:

(i) ∫(x² - 1)/(x² + 1) dx

(ii) ∫(x⁶ - 1)/(x² + 1) dx

(iii) ∫x⁴/(1 + x²) dx

(iv) ∫x²/(1 + x²) dx

Answer 1

(i) It can be written as

(ii) It can be written as

(iii) By addition and subtraction of 2x² and 1 to the numerator

(iv) By addition and subtraction of 1 to numerator