Trigonometric Substitution (3 Formulas) - Calculus
In this video, I will show you how to use trigonometric substitution to solve integrals. There are 3 forms or formulas you need to know. I go through plenty of examples with trig substitution because this is an important topic. You should use trigonometry substitution 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.
Solutions to the problems at the end of the video (respectively):
• Integral of (x² - 1)^-1.5 with trigon...
• Integral of sqrt(3-7x²) using trigono...
• Integral of sqrt(x² - 2x)
