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Integral of 1 / sqrt((x-a)(x-b)) | Completing the Square Method

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Integral of 1 / sqrt((x-a)(x-b)) | Completing the Square Method

How do you evaluate the integral of 1 / sqrt((x-a)(x-b)) dx? In this textbook calculus challenge, we solve a beautiful general case integral involving two arbitrary constants $a$ and $b$.Instead of using heavy trigonometric substitutions right from the start, we expand the quadratic expression underneath the square root and utilize the ...

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