A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

marigirl

  • one year ago

could someone look over my integration by substitution steps?

  • This Question is Closed
  1. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Question is to integrate \[\int\limits_{?}^{?} \frac{ 6x-1 }{ \sqrt{3x+1} }\]

  2. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i made u=3x+1 du/dx=3 so then dx=du/3

  3. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    u=3x+1 \[x=\frac{ u-1 }{ 3 }\]

  4. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now I have \[\int\limits_{?}^{?} \frac{ 6(\frac{ u-1 }{ 3 }) }{ \sqrt{u} } \times \frac{ du }{ 3 }\]

  5. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now I have \[\int\limits_{?}^{?} \frac{ 6(\frac{ u-1 }{ 3 })\color{red}{-1} }{ \sqrt{u} } \times \frac{ du }{ 3 }\]

  6. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then i did \[\frac{ 1 }{ 3 }\int\limits_{?}^{?}\frac{ 2u-2 }{ \sqrt{u} }.du\]

  7. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then i did \[\frac{ 1 }{ 3 }\int\limits_{?}^{?}\frac{ 2u-2 \color{red}{-1}}{ \sqrt{u} }.du\]

  8. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    omg yes i forgot the plus one!!

  9. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    omg yes i forgot the \(\color{Red}{minus}\) one!!

  10. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    pellet i miss typed it.. lol 6x+1 .. Sorry!!

  11. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\int\limits_{?}^{?}\frac{ 6x+1 }{ \sqrt{3x+1} }\]

  12. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so now we are at \[\frac{ 1 }{ 3 }\int\limits_{?}^{?}\frac{ 2u-1 }{ \sqrt{u} }\]

  13. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    looks good, keep going..

  14. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then \[\frac{ 1 }{ 3 }\int\limits_{?}^{?} 2\sqrt{u} \times \frac{ 2 }{ \sqrt{u} }.du\]

  15. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then i integrated

  16. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you mean \[\frac{ 1 }{ 3 }\int\limits_{?}^{?} 2\sqrt{u} - \frac{ 1 }{ \sqrt{u} }.du \]

  17. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ 1 }{ 3 } \times \frac{ 4u ^{\frac{ 3 }{ 2 }} }{ 3 }+4u ^{\frac{ 1 }{ 2 }}\]

  18. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh gosh .....lol im a mess.. its a minus!

  19. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so then i think finally i did \[\frac{ 4u ^{\frac{ 3 }{ 2 }} }{ 9 }-\frac{ 4u ^{\frac{ 1 }{ 2 }} }{ 3 }\]

  20. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think you should get \[\frac{ 1 }{ 3 } \left( \frac{ 4u ^{\frac{ 3 }{ 2 }} }{ 3 }-2u ^{\frac{ 1 }{ 2 }}\right)\]

  21. marigirl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes cuz i did that error of not adding the plus one,..thanks so much! I really appreciate your time :D :D :D

  22. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.