Integrating Into Inverse Hyperbolic Functions | Calculus Lesson 55 - JK Math

Описание: How to Integrate Into Inverse Hyperbolic Functions (Calculus Lesson 55)

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In this lesson we learn how to integrate functions that lead to inverse hyperbolic functions. The inverse hyperbolic functions include arcsinh(x), arccosh(x), arctanh(x), arccoth(x), arcsech(x), and arccsch(x), however when integrating we generally use their logarithmic definitions. We learn the integration rules for these functions, and look at how to use them with u-substitution through various example problems.

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Video Chapters:
0:00 Recalling The Derivative Rules
3:11 The New Integration Rules
5:23 Comparing To Inverse Trig Rules
7:26 Example 1 - 3/sqrt(9x^2+1)
11:46 Example 2 - 1/(7-16x^2)
15:38 Example 3 - 1/(x*sqrt(4-x^2))


📝 Examples Video:    • Integrating Into Inverse Hyperbolic Functi...  

⏩ Next Lesson (Calculus 2 Lesson 1):    • Area Between Two Curves | Calculus 2 Lesso...  

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#calculus

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