learningsumth said:Homework Statement
hi, I've been working on this for the past half hour and i can't seem to get the right answer
definite integral from 1 to infinity, dx/[(x)(2x+5)]
[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP558719f9237h7g3ceg5000000h4efg42afe11g4c?MSPStoreType=image/gif&s=27&w=272&h=39
The Attempt at a Solution
i keep getting (2/5)ln(7) as opposed to (1/5)log(7/2) that wolfram gives me.
thanks so much!
An improper integral is an integral that does not have both limits of integration as finite numbers or where the function being integrated has a vertical asymptote within the limits of integration.
To solve an improper integral, you must first determine if it is convergent or divergent. If it is convergent, you can use the limit comparison test, comparison test, or integral test to evaluate it. If it is divergent, you can use the limit comparison test or comparison test to show that it does not have a finite value.
There are two types of improper integrals: Type I and Type II. Type I improper integrals have one or both limits of integration as infinite numbers, while Type II improper integrals have a vertical asymptote within the limits of integration.
Improper integrals are important because they allow us to integrate functions that would otherwise be impossible to integrate using standard methods. They also have applications in various fields of science, such as physics and engineering.
Improper integrals can be used to solve real-world problems by representing physical quantities, such as velocity and acceleration, as functions and then using integration to find their values over a given interval. They can also be used to find the area under a curve, which has many practical applications in fields like economics and statistics.