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प्रश्न
Integrate the function `(4x+ 1)/sqrt(2x^2 + x - 3)`
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उत्तर
Let `I = int (4x + 1)/sqrt(2x^2 + x - 3) dx`
Put 2x3 + x - 3 = t
4x + 1 dx = dt
∴ `I = int dt/sqrtt`
`= int t^(-1/2) dt = 2t^(1/2) + C`
`= 2 sqrt(2x^2 + x - 3) + C`
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