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int(dx)/((1-9x^(2)))=?...

`int(dx)/((1-9x^(2)))=?`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(6)log|(1+3x)/(1-3x)|+C`
On dividing , we get `((x^(2)-1))/((x^(2)+4))={1-(5)/((x^(2)+4))}`.
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Evaluate : (i) int(dx)/((9x^(2)-1)) (ii) int(x)/((x^(4)-9))dx (iii) int(x^(2))/((x^(2)-9))dx