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Showing posts with label Problems. Show all posts
Showing posts with label Problems. Show all posts

Thursday, January 24, 2013

Integration by Parts - Set 1 Problems

0 comments Posted by Anonymous at 3:50 PM
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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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Tuesday, January 22, 2013

Integration by Partial Fractions - Set 1 Problems

0 comments Posted by Anonymous at 10:31 PM
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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


©2013 www.FroydWess.com
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Thursday, January 3, 2013

Integration by Substitution - Set 1 Problems

0 comments Posted by Anonymous at 11:42 AM
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Integration by Substitution - Set 1 Problems
















In the previous lectures, I discussed the Integration by Substitution with few examples so that you can understand it well. Now, you are going to challenge yourself to work on different kind of problems. In this way you will start to grasp the feel and you are getting use to every kind of problems. Sooner, you will be able to do simple substitution in your head by simply looking at the problems without actually writing a note.

Integration by substitution with algebraic functions

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Integration by substitution involving exponential functions

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Integration by substitution involving trigonometric functions

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Algebraic substitution involving integral giving inverse trigonometric functions

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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 Substitution - Set 1 Answers key


©2013 www.FroydWess.com
Read More »
 

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