Calculus/Integration/Exercises

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Integration/Exercises

Integration of Polynomials[edit | edit source]

Evaluate the following:

1.
2.
3.
4.
5.

Solutions

Indefinite Integration[edit | edit source]

Find the general antiderivative of the following:

6.
7.
8.
9.
10.
11.
12.

Solutions

Integration by Substitution[edit | edit source]

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

13.
14. .
15. .
16. .
17. .
18. .
19. .
20. .
21. .

Solutions

Integration by parts[edit | edit source]

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[edit | edit source]

40.

Solutions

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Integration/Exercises