Solve Integral Problem: b^(-x/c) / (f + ax)

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In summary, the conversation is about a problem involving the function d(x) and an integral sign with variables b, c, f, and a. The person speaking is stumped and their friend believes it may involve an infinite series. The problem is then clarified with the use of Latex and it is mentioned that a, b, c, and f are constants.
  • #1
cetaamoxclob
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Hi,

I'm stumped...

d(x) = *IntegralSign(b^(-x/c) / (f + ax))dx


A friend of mine told me that he thinks it has something to do with some sort of infinite series but he's not sure.

That's all the information I have for this...
 
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  • #2
are f, a , b, and c constants?
 
  • #3
Does it look like this?

cetaamoxclob said:
Hi,

I'm stumped...

d(x) = *IntegralSign(b^(-x/c) / (f + ax))dx


A friend of mine told me that he thinks it has something to do with some sort of infinite series but he's not sure.

That's all the information I have for this...

[tex]d(x) = \int\frac{b^\frac{-x}{c}}{f + ax}dx[/tex]

Is that the problem? I don't have the answer; I'm just testing out Latex.
 
  • #4
to answer the above questions...

a, b, c, and f are constants

and yes that is the problem with Latex
 

FAQ: Solve Integral Problem: b^(-x/c) / (f + ax)

What is an integral problem?

An integral problem is a mathematical problem that involves finding the area under a curve on a graph. It is represented by the integral symbol (∫) and is used to calculate the total value of a function within a given range.

What is the general formula for solving an integral problem?

The general formula for solving an integral problem is ∫f(x)dx = F(b) - F(a), where f(x) is the function, a is the lower limit, and b is the upper limit.

How do I solve an integral problem with the form b^(-x/c) / (f + ax)?

To solve an integral problem with this form, you can use the substitution method or the integration by parts method. The substitution method involves substituting u = -x/c and du = -1/c dx, while the integration by parts method involves breaking the integral into two parts and using the formula ∫udv = uv - ∫vdu.

What is the role of the variables in this integral problem?

In this integral problem, b, c, f, and a are all variables that represent different values. b is usually the base of the exponential function, c is the coefficient of x, f is the constant in the denominator, and a is the coefficient of x in the denominator. These variables help determine the specific function being integrated and the limits of the integral.

What are some common applications of solving integral problems?

Solving integral problems has many practical applications, such as calculating areas and volumes in physics, determining probabilities in statistics, and finding the total value of a function in economics. It is also used in various engineering and scientific fields to model and analyze real-world problems.

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