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Prove the second logarithmic standard form

Prove that ∫1a2−x2 dx=12aln⁡∣a+xa−x∣+C\int\frac1{a^2-x^2}\,dx=\frac1{2a}\ln\left|\frac{a+x}{a-x}\right|+C.

CJC · Lecture · Self-Practice 6

Follow the preceding proof for x squared minus a squared, changing the denominator factors and their derivative signs.

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