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(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii...

(i) `int((x^(2) - 1)/(x^(2) + 1))dx` , (ii) `int ((x^(6)- 1)/(x^(2) + 1))dx`
(iii) `int ((x^(4))/(1+x^(2)))dx` , (iv) `int((x^(2))/(1+x^(2)))dx`

Text Solution

Verified by Experts

The correct Answer is:
(i) `x - 2tan^(-1)x + C` , (ii) `(x^(5))/(5) +(x^(3))/(3) + x - 2tan^(-1) x + C`
(iii) `(x^(3))/(3) - x + tan^(-1)x + C` , (iv) `x - tan^(-1) + C`.
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