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Tuesday, January 22, 2013

Integration by Partial Fractions - Set 1 Problems

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Problems exercises in Integration by Partial Fractions
Below are some exercises that will challenge yourself to integrate using the method of Partial fraction. If you want review the topic visit Integration by Partial Fractions. Evaluate the integral.

Begin and good luck!

1. What is the the integral of x^4/x-1 dx?

2. What is the integral of (5x+1)/[(2x+1)(x-1)] dx?

3. What is the integral of [2/(2x^2+3x+1) dx?

4. What is the integral of [ax/(x^2-bx)] dx?

5. What is the integral of [(x^3-2x^2-4)/x^3-2x^2] dx?

6. What is the integral of [x^2+1/(x-3)(x-2)^2] dx?

7. What is the integral of [(x^3+4)/(x^2+4)] dx?

8. What is the integral of [10/(x-1)(x^2+9)] dx?

9. What is the integral of [4x/(x^3+x^2+x+1)] dx?

10. What is the integral of [(x^3+x^2+2x+1)/(x^2+1)(x^2+2)] dx?

11. What is the integral of [(x+4)/(x^2+2x+5)] dx?

12. What is the integral of [1/(x^3-1)] dx?

13. What is the integral of [1/(x(x^2+4)^2)] dx?

14. What is the integral of [(x^2-3x+7)/(x^2-4x+6)^2] dx?

15. What is the integral of [1/(x^5+2x^3+x)] dx?

16.

17. What is the integral of (x+5)/(x^2+x-2) dx?

18. What is the integral of (x^2+2x-1)/(2x^3+3x^2-2x) dx?

Integration Formulas

Important: To make this exercises easy for you to work on, I compiled the integration formulas that you can find by following the link Table of Integral.
To check your works, the answers key for this problems set can be found by following this link. Integration by Partial Fractions - Set 1 Answers key


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