Calculus/Integration/Exercises

< Calculus‎ | Integration

Integration of PolynomialsEdit

Evaluate the following:

1.

2.

3.

4.

5.

Solutions

Indefinite IntegrationEdit

Find the general antiderivative of the following:

6.

7.

8.

9.

10.

11.

12.

13.

Failed to parse (syntax error): {\displaystyle \frac{arctan\bigl(\tfrac{x}{a}\bigr)}{a}\+C}

Solutions

Integration by partsEdit

14. 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.

Solutions

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