A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 4 years ago

How do you solve indefinite integrals?

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

    Get antiderivative, +C.

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You can think of indefinite integrals as just a notation convenience. The symbol \[\int f(x) dx\] is shorthand for the question " What are all of the antiderivatives for the function f(x)." There is a theorem that tells us that all the antiderivatives of a function only differ by a constant (this is where the " +C " comes from). So to represent the entire family of antiderivatives for f(x), we just need to find one antiderivative F(x) and then by this theorem every other antiderivative must take the form F(x)+C. So solving indefinite integrals only involves finding an antiderivative, and then adding the +C at the end, as Lollylau so succinctly put. Keep in mind an antiderivative of f(x) is any function F(x) such that F'(x)=f(x). For example, F(x)=sin(x) and F'(x)=cos(x). Therefore, sin(x) is an antiderivative of cos(x). I.e\[\int \cos(x) dx = \sin(x) +C\]

  3. 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...


  • 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.