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Integrate the functions1/(sqrt(9-25 x^2)...

Integrate the functions`1/(sqrt(9-25 x^2))`

Text Solution

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` int(1)/(sqrt(9-25x^(2)))dx`
` =(1)/(5) int(1)/(sqrt(((3)/(5))^(2)-x^(2)))dx`
` =(1)/(5) sin^(-1) ((x)/(3//5))+c`
`=(1)/(5) sin^(-1) ((5x)/(3))+c`
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