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प्रश्न
Integrate the following functions w.r.t. x : `sqrt(5x^2 + 3)`
उत्तर
Let I = `int sqrt(5x^2 + 3).dx`
= `sqrt(5) int sqrt(x^2 + 3/5).dx`
= `sqrt(5) [x/2 sqrt(x^2 + 3/5) + ((3/5))/(2)log|x + sqrt(x^2 + 3/5)|] + c`
= `sqrt(5)/(2) [x sqrt(x^2 + 3/5) + (3)/(5)log|x + sqrt(x^2 + 3/5)|] + c`.
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