Converting derivative into integral

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    Derivative Integral
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Discussion Overview

The discussion revolves around converting a differential equation, specifically d(B)/dt = Q/K, into its integral form. The context includes basic calculus concepts and the relationship between the variables involved, particularly focusing on the function Q as it relates to time.

Discussion Character

  • Homework-related
  • Exploratory

Main Points Raised

  • One participant seeks assistance in converting the differential equation into integral form, expressing a lack of confidence in their calculus skills.
  • Another participant questions whether the function Q depends solely on time or also on B, suggesting that this distinction is crucial for the conversion process.
  • A later reply confirms that Q is only a function of time, which simplifies the problem, and expresses gratitude for the guidance received.

Areas of Agreement / Disagreement

Participants generally agree on the nature of Q as a function of time, but there is a lack of consensus on the implications of this relationship for the integral conversion process.

Contextual Notes

The discussion does not resolve the specific steps needed for the conversion, and the implications of the relationship between Q and B remain unclear.

zealous131
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Hi,

I need to ask a very basic question and am very weak at calculus. I have an equation d(B)/dt=Q/K. Where K is a constant and Q is a function of time. B is the variable, which when differentiated w.r.t. time gives the Q. I want to convert this equation into integral form. Can anyone help me out on this? I will really really appreciate any help! Thanks!
 
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zealous131 said:
Hi,

I need to ask a very basic question and am very weak at calculus. I have an equation d(B)/dt=Q/K. Where K is a constant and Q is a function of time. B is the variable, which when differentiated w.r.t. time gives the Q. I want to convert this equation into integral form. Can anyone help me out on this? I will really really appreciate any help! Thanks!

Hey zealous131 and welcome to the forums.

Does Q only involve time (t) or does it also involve B? If the answer is no then JJacquelin has provided a very good outline of what to do. If not, then you will need to state how B is involved in with Q. If you don't understand what I'm saying and you've only been told that Q is a function of t (i.e. Q(t)) then don't worry about my advice (but keep it in mind later on if you have to solve things like this).
 
Thanks a lot JJacquelin for providing me the solution. I really apreciate it! Thanks Chiro for your valuable comment, Q is only a function of time and doesn't depend on B so that makes ife easier. I will definitely keep the point you've mantioned. Thanks!
 

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