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Apparent discrepancy Three different computer algebra
Chapter 7, Problem 58E(choose chapter or problem)
QUESTION:
Apparent discrepancy Three different computer algebra systems give the following results:
\(\int \frac{d x}{x \sqrt{x^{4}-1}}=\frac{1}{2} \cos ^{-1} \sqrt{x^{-4}}=\frac{1}{2} \cos ^{-1} x^{-2}=\frac{1}{2} \tan ^{-1} \sqrt{x^{4}-1}\)
Explain how they can all be correct.
Questions & Answers
QUESTION:
Apparent discrepancy Three different computer algebra systems give the following results:
\(\int \frac{d x}{x \sqrt{x^{4}-1}}=\frac{1}{2} \cos ^{-1} \sqrt{x^{-4}}=\frac{1}{2} \cos ^{-1} x^{-2}=\frac{1}{2} \tan ^{-1} \sqrt{x^{4}-1}\)
Explain how they can all be correct.
ANSWER:Step 1 of 3
We are here required to solve the apparent discrepancy