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Evaluate the following integrals. (i) ...

Evaluate the following integrals.
`(i) int 1/((x - 2)^2 + 1)dx " " (ii) int (x^2)/(x^2 + 5)dx " " (iii) int 1/(sqrt(1 + 4x)^2)dx `

Text Solution

Verified by Experts

The correct Answer is:
(i) `tan^(-1)(x - 2) + c`
(ii) `x - sqrt(5) tan^(-1)(x)/(sqrt(5))+c`.
(iii) `1/2 log |2x + sqrt(4x^2 + 1)|+c`
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