- #1
mikel542
- 1
- 0
Integration
find
(integral sign)= (x+1/x+2)+3
find
(integral sign)= (x+1/x+2)+3
strongmotive said:If (x+1/x+2) is one term (not sure you have written it correctly), ((x+1/x+2)^2)/2 +3x
You raise the term to the next power and divide the whole thing by that power.
mikel542 said:Integration
find
(integral sign)= (x+1/x+2)+3
Mark44 said:What exactly is the problem? "(integral sign) = <whatever>" makes no sense to me. Is this the problem?
[tex]\int (\frac{x + 1}{x + 3} + 3)dx[/tex]
Or is this it?
[tex]\int (x + 1/x + 2 + 3)dx[/tex]
I suspect that this is not what you meant, although Dick interpreted what you wrote that way.
If the first integral is the one you meant, you'll need to divide (x + 1) by (x + 2), which will give you 1 + (some number)/(x + 2).
icystrike said:to thread starter :
if it is the first integral that Mark is referring to, you should most probably get 4x-ln(x+2)
An integral is a mathematical concept that represents the area under a curve in a graph. It is used to solve problems involving continuous quantities, such as distance, speed, and volume.
To solve an integral, you need to use a specific method called integration. This involves finding the anti-derivative of the function and then evaluating it at the limits of integration.
The function in this integral is (x+1/x+2)+3. It is a rational function, meaning that it is a ratio of two polynomials, and it includes both a variable (x) and a constant (3).
The +3 at the end of the integral is a constant term. It is added to the result of the integration and does not affect the process of solving the integral.
Yes, this integral can be solved using basic integration rules, such as the power rule, product rule, and chain rule. It can also be solved using techniques such as substitution, integration by parts, and partial fractions.