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Evaluate:\(\int\cfrac{dx}{\sqrt{9x^2-7}}\)∫ dx/√(9x2-7) |
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Answer» Formula to be used -\(\int\cfrac{dx}{\sqrt{x^2\pm a^2}}=log(x+\sqrt{x^2\pm a^2})+c\) \(\therefore\int\cfrac{dx}{\sqrt{9x^2-7}}\) \(=\int\cfrac{dx}{\sqrt{(3x)^{2}-\sqrt{7}^2}}\) \(=log|3x+\sqrt{9x^2-7}|+c\), c being the integrating constant |
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