Integration with trig substitution

• [DOCX File]CATALOG # MTH 201

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  Integration by parts. Shell method/ disc method. Arc length. Integration by Trig substitution. Integrals of the Trig functions and powers of – be able to derive or memorize. Integration by partial fractions. Average value. Derivatives of arccos, arcsin, arctan- inverse Trig functions. Implicit differentiation. Related rates. Convergence ...

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• [DOCX File]Front Door - Valencia College

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  integrate using the methods of substitution, integration by parts, trigonometric substitution, partial fractions, and improper integrals. solve geometric and physical problems using the processes of integration. work with sequences and infinite series including the test for divergence, integral test, as well as the ratio, root and comparison tests.

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• [DOC File]Some important definitions:

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  Already know and understand derivatives and know the derivatives of all trig functions. Know and be able to use basic integration techniques. Objectives: Students will be able to use substitution as a method of solving indefinite and definite integrals.

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• [DOCX File]Teaching objectives - Oxfordshire Mathematics Community

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  The first integral can be done with partial fractions and the second could be done with a trig substitution. However, both could also be evaluated using the substitution u = x2 − 1 and the work involved in the substitution would be significantly less than the work involved in either partial fractions or trig substitution.

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• [DOC File]Integration by Substitution

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  Integration by substitution. Methods of integration. The methods of integrating an expression are: 1) directly writing it down (either by memory or by looking in the formula book); 2) writing the expression in partial fractions; 3) using the method of integration by parts; 4) using a substitution; 5) using a trigonometric identity (such as or )

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• [DOC File]Integration by Substitution

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  Investigation into integration of basic trig functions, using reverse of differentiation. Use knowledge of trig differentiation to find standard results Dr Frost maths – integration powerpoint

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• [DOC File]De Anza College

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  In general, the limits of integration do not need to be over rectangular regions. Since an integral is a function of its limits, the inside integral should be a function of the outside variable of integration. ... If we apply the trig substitution, 8 3 0 π 2 cos 4 dθ= 0 π 2 8 3 ( …

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• Trigonometric Substitution in Integration | Brilliant Math ...

  Apply the substitution technique to trig functions. ... Integration by Substitution, Part 1 of 2 (9:42) and Math Video Tutorials by James Sousa, Integration by Substitution, Part 2 of 2 (8:17). Review Questions. In the following exercises, evaluate the integrals. Review Answers.

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