Trigonometric Integrals: Example 8: sec(x)^3

in #mathematics5 years ago (edited)

In this video I go over another example on trig integrals and this time solve the integral of sec(x)3. The method I use in this video is by separating a sec(x)2 from the integrand (integrand is the function in the integral) and then applying integration by parts.


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Trigonometric Integrals: Example 8

Trigonometric Integrals Example 8.jpeg

Example:

Solution:

Note:If an even power of tangent appears with an odd power of secant, it is helpful to express the integrand completely in terms of sec(x) and may require integration by parts.

Integrals such as this one may seem special but in my later videos I will show that they do in fact occur frequently in real life applications

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