Question

using identies evaluate x⁴-1/x²​

Answer 1

Answer:

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we have to integrate (x⁴ + 1)/(x² + 1)arrange (x⁴ + 1) in such a way that it contains (x² + 1).e.g., x⁴ + 1 = (x²)² + 1 - 2x² + 2x²= (x⁴ + 2x² + 1) + 2x²= (x² + 1)² -2x²= (x² + 1)² - 2(x² + 1) + 2

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Answer 2

x⁴‐1/x²

=(x²)²‐(1/x)² (using formula of a²‐b²)

=(x²‐1/x) (x²+1/x)