Applications of Integration - Integration as an Inverse Process of Differentiation
Applications of Integration - Integration as an Inverse Process of Differentiation
Differentiate \(\frac{2}{2-x^2}\) with respect to \(x\). Hence find \(\displaystyle\displaystyle \displaystyle\int \frac{x}{(2-x^2)^2} \, \mathrm{d}x.\)
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Answer:\(\displaystyle\int\frac{x}{(2-x^2)^2}\,\mathrm dx=\frac{1}{2(2-x^2)}+C\)
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