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

thomas5267 Group Title

If \(3x^2+4\) is an antiderivative of \(f(x)\), evaluate the indefinite integral \[F(x)=\int f(x)\,dx\] A: \(F(x)=x^3+4x+C\) B: \(F(x) = 3x^2+C\) C: \(F(x) = 3(x + C)^2+4\) D: \(F(x) = C(3x^2+4)\) E: none of the above Isn't the answer \(3x^2+4\)? That just seems wrong!

  • one year ago
  • one year ago

  • This Question is Closed
  1. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\int x^{n}dx = \frac{1}{n+1}x^{n+1}+C\]

    • one year ago
  2. thomas5267 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    OK, but the question is asking for the antiderivative of \(f(x)\), isn't that equals to \(\int f(x) \, dx\)? And the question says that it is \(3x^2+4\). WHAT!? The question has given you the answer!?

    • one year ago
  3. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    lol I see your point!!

    • one year ago
  4. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Is it a quiz? homework question?

    • one year ago
  5. thomas5267 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    This is a assignment. If I am correct, \(F(x)=3x^2+4\). So does it equals to \(3x^2+C\)? But it is absolutely weird to use \(C\) in this context. The homework says that "Assume that C is an arbitrary constant throughout this assignment."

    • one year ago
  6. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    If \(3x^2+4\) is an antiderivative of f(x), so is \(3x^2+5\), \(3x^2+100\), etc. So, generally, \(3x^2+C\) is the antiderivative of f(x).

    • one year ago
  7. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Yay! @mukushla comes to save us :P

    • one year ago
  8. thomas5267 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    OK. I get the point. \(3x^2+4\) is AN antiderivative of \(f(x)\), i.e. \(3x^2+4\) is one of the antiderivative of \(f(x)\). Therefore, the answer is B! *facepalm* Is this a question on Maths or English?

    • one year ago
  9. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    English :S and Maths :S

    • one year ago
  10. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    I'm sorry, I'm too careless!!

    • one year ago
  11. thomas5267 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    WTF? Playing with words in Maths assignment? YOU WIN! *ragequit*

    • one year ago
  12. Callisto Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Language :S

    • one year 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.