Integration by Parts - Set 1 Problems

This is the problem set in Integration by Parts - Set 1 that will challenge yourself to integrate using the method of Integration by Parts.

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

Begin and good luck!

1. What is the Integral of e^xsinx dx?

2. What is the Integral of arctanx dx limit[0,1]?

3. What is the integral of x^2lnx dx?

4. What is the integral of xcos(5x) dx?

5. What is the integral of xsin(3x) dx?

6. What is the integral of xe^-3x dx?

7. What is the integral of (x^2+2x)cosx dx?

8. What is the integral of lnx^1/3 dx?

9. What is the integral of arctan(4x) dx?

10. What is the integral of xarctanx dx?

11. What is the integral of x^2arctanx dx?

12. What is the integral of x^4ln(4x) dx?

13. What is the integral of xsec^2(2x) dx?

14. What is the integral of (lnx)^2 dx?

15. What is the integral of e^(2x)sin(3x) dx?

16. What is the integral of x^3e^x dx?

17. What is the integral of xe^(2x) dx?

18. What is the integral of x^2cos(3x) dx?

19. What is the integral of sin(lnx) dx?

20. What is the integral of cos(lnx) 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 Parts - Set 1 Answers key


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