Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Denebel Group Title

Use the given trig identity to set up a u-substitution and then evaluate the indefinite integral.

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Denebel Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1326790438109:dw|

    • 2 years ago
  2. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Yes, where are you stuck?

    • 2 years ago
  3. imperialist Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Hint: what is the derivative of tan(x)?

    • 2 years ago
  4. Denebel Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    How to start? Can I do this ? |dw:1326790556349:dw|

    • 2 years ago
  5. Denebel Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Derivative of tan x is (sec x)^2

    • 2 years ago
  6. imperialist Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, so try only breaking one of the (sec x)^2 into 1+(tan x)^2

    • 2 years ago
  7. imperialist Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    You will be pleasantly surprised!

    • 2 years ago
  8. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    \[ \int \sec^4 x \space dx = \int (1+\tan^2 x) \sec^2 x \space dx \]

    • 2 years ago
  9. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Now put \( \tan x = z \implies \sec^2 x dx = dz \)

    • 2 years ago
  10. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    So, \[ \int (1+\tan^2 x) \sec^2 x \space dx = \int (1+z^2) dz \] I am sure you can proceed after this.

    • 2 years ago
  11. Denebel Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh I see now. Thank you very much!

    • 2 years ago
  12. FoolForMath Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Glad to help :)

    • 2 years ago
  13. imperialist Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Likewise :)

    • 2 years ago
    • Attachments:

See more questions >>>

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.