Integral of sqrt(x² - 2x)

In this video, I will show you how to use trigonometric substitution to solve the integral of sqrt(x² - 2x). You should use trigonometric subsitution when you cannot solve the integral with u substitution or integration by parts. There are three forms you need to know: the square root of (x^2-a^2), the square root of (x^2+a^2), and the square root of (a^2-x^2). In the first case, x=asinθ. In the second case, x = atanθ. In the third case, x = asecθ. Trigonometry substitution is an important topic that calculus students will learn either in high school or in university.

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