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You do what we call an "improper integral".
I will denote the integral of f from a to b as intl a-b (f) here.
so we define intl a-infinity (f) as lim b->infinity a-b(f)
So it is a limit, and just like all other integrals, it may or may not exist (+/- infinity or infinite uncountable oscilations etc.)
You have have to prove yourself though about its properties (it's easy since I reduced it to the regular integral) and you will see it's a perfectly fine definition.
If you want examples, I have lots, message me.
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Give three examples of calculus in chemical engineering?
Flux integrals, surface integrals, and line integrals!
What are the different uses of integration calculator?
Integral calculators calculate definite and indefinite integrals (antiderivatives) for use in calculus, trigonometry, and other mathematical fields/formulations.
Who is credited with defining the standard notation for integrals?
Gottfried Wilhelm Leibniz is credited with defining the standard notation for integrals.
Is it possible to integrate across an asymptote?
Yes, but only in some cases and they are special types of integrals: Lebesgue integrals.
How do you use pi in everyday mathamaics?
Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).Pi is used in many different places.The most obvious one is to calculate several things related to circles and spheres: for example, calculate the circumference and the area of a circle if you know the radious, or calculate the surface area and the volume of a sphere if you know the radious.Pi is also used in certain situations where there is no connection to circles. For example, in certain integrals (to calculate the area under certain functions).
