- #1
Jbreezy
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Homework Statement
It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx
Homework Equations
I say Yes
Jbreezy said:Homework Statement
It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx
Homework Equations
I say Yes
The Attempt at a Solution
I would call this integral --Jbreezy said:Homework Statement
It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx
Homework Equations
I say Yes
The Attempt at a Solution
An Improper Integral is an integral where one or both of the bounds of integration are infinite, or where the integrand function is not defined at certain points within the bounds of integration.
An integral is considered improper if one or both of the following conditions are met: the bounds of integration are infinite, or the integrand function is not defined at certain points within the bounds of integration.
Yes, [0,∞] e^(-x^3) dx is an Improper Integral because the upper bound of integration is infinite.
To solve an Improper Integral, you must first determine if it is convergent or divergent. If it is convergent, you can use a variety of methods such as the Comparison Test, the Limit Comparison Test, or the Integral Test to evaluate the integral. If it is divergent, the integral cannot be evaluated.
The significance of [0,∞] e^(-x^3) dx as an Improper Integral lies in its use in various applications in mathematics and physics. It is also a good example of an improper integral that is challenging to solve, making it a common problem in calculus courses.