- #1
dmission
- 10
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how:
integral: (2x+4)/(x^2+2x+3) with respect to x, of course
integral: (2x+4)/(x^2+2x+3) with respect to x, of course
dmission said:thanks for the reply.
I get how to take the second one, but what about the first? (2x/((x+1)^2+2))
dmission said:yeah, but doesn't that still leave an X in the numerator?
The term "integral" in this context refers to the process of calculating the area under a curve. In this specific expression, we are finding the integral with respect to the variable x.
This integral can be solved using the method of partial fractions, where the expression is broken down into smaller fractions that are easier to integrate. After finding the partial fractions, the integral can be solved using standard integration techniques.
Finding integrals is useful in many fields of science, such as physics and engineering. It allows us to calculate important quantities like displacement, velocity, and acceleration from a given function that represents the motion of an object.
Yes, most scientific calculators have a built-in integral function that can solve this expression. However, it is still important to understand the process of solving integrals by hand for more complex expressions.
One way to check the solution is by differentiating it. If the result of the differentiation is equal to the original expression, then the solution is correct. Additionally, you can also graph both the original expression and the integral and see if they match up.