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Integrate the functions(4x+1)/(sqrt(2x^2...

Integrate the functions`(4x+1)/(sqrt(2x^2+x-3))`

Text Solution

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` int(4x+1)/(sqrt(2x^(2)+x-3))dx" "underset(rArr (4x+1)dx=2tdt)(" Let "2x^(2) +x-3=t^(2))`
`= int(2tdt)/(sqrt(t^(2)))=2 int 1 dt = 2t +c`
` = 2sqrt(2x^(2)+x-3)+c`
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