If ∫√1−x2x4dx=A(x)(√1−x2)m+C, for a suitable chosen integer – InterviewSolution

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1.	If ∫√1−x2x4dx=A(x)(√1−x2)m+C, for a suitable chosen integer m and a function A(x), where C is a constant of integration, then (A(x))m equals :
Answer» If $\int \frac{\sqrt{1 - x^{2}}}{x^{4}} d x = A (x) {(\sqrt{1 - x^{2}})}^{m} + C$ , for a suitable chosen integer $m$ and a function $A (x)$ , where $C$ is a constant of integration, then ${(A (x))}^{m}$ equals :

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