Compute the following integrals using the guidelines for integrating powers of trigonometric functions. Use a CAS to check the solutions. ( Note : Some of the problems may he done using techniques of integration learned previously.) 89. ∫ tan 2 x sec x d x
Compute the following integrals using the guidelines for integrating powers of trigonometric functions. Use a CAS to check the solutions. ( Note : Some of the problems may he done using techniques of integration learned previously.) 89. ∫ tan 2 x sec x d x
Compute the following integrals using the guidelines for integrating powers of trigonometric functions. Use a CAS to check the solutions. (Note: Some of the problems may he done using techniques of integration learned previously.)
89.
∫
tan
2
x
sec
x
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Use an appropriate trig substitution to integrate x/sqrt(9-x2) dx.
Clearly show how your work with simplifying the denominator, replacing the differential and show how you convert the answer back from theta to x. Use your trig substituiton to label the right triangle below to help in conversion.
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INTEGRATION OF TRIGONOMETRIC FUNCTIONS
Finite Mathematics & Its Applications (12th Edition)
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY