Calculus/Integration/Exercises

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Integration/Exercises

Integration of Polynomials

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Evaluate the following:

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Solutions

Indefinite Integration

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Find the general antiderivative of the following:

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Solutions

Integration by Substitution

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Find the anti-derivative or compute the integral depending on whether the integral is indefinite or definite.

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Solutions

Integration by parts

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30. Consider the integral   . Find the integral in two different ways. (a) Integrate by parts with   and   . (b) Integrate by parts with   and   . Compare your answers. Are they the same?
a.  
b.  
a.  
b.  

Solutions

Integration by Trigonometric Substitution

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40.  
 
 

Solutions

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Integration/Exercises