Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

shaqadry

  • 3 years ago

integrate sec x ( sec x + tan x ) dx

  • This Question is Closed
  1. nincompoop
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Take the integral: integral sec(x) (tan(x)+sec(x)) dx Expanding the integrand sec(x) (tan(x)+sec(x)) gives sec^2(x)+tan(x) sec(x): = integral (sec^2(x)+tan(x) sec(x)) dx Integrate the sum term by term: = integral sec^2(x) dx+ integral tan(x) sec(x) dx For the integrand tan(x) sec(x), substitute u = sec(x) and du = tan(x) sec(x) dx: = integral 1 du+ integral sec^2(x) dx The integral of sec^2(x) is tan(x): = integral 1 du+tan(x) The integral of 1 is u: = u+tan(x)+constant Substitute back for u = sec(x): Answer: tan(x)+sec(x)+constant

  2. shaqadry
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thank you!

  3. nincompoop
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

  4. 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