- #1
markosheehan
- 136
- 0
find ∫ln x dx. i can't work this out but i know its integration. why is there a dx here. there is usually no dx when i am differentiating something
markosheehan said:find ∫ln x dx. i can't work this out but i know its integration. why is there a dx here. there is usually no dx when i am differentiating something
The integral of ln x is the natural logarithm of x. It represents the area under the curve of the function ln x from 1 to x.
The integral of ln x is important because it is a fundamental concept in calculus and is used to solve a variety of mathematical problems. It is also used in many scientific and engineering applications.
To find the integral of ln x, you can use integration by parts or substitution. The result will be ln x times the value of x minus the integral of 1/x. You can also use a table of integrals or a graphing calculator to find the integral.
The domain of the integral of ln x is all positive real numbers, excluding 0.
The integral of ln x has many real-world applications, including calculating the growth rate of populations, determining the amount of medicine in a person's body over time, and analyzing the decay of radioactive substances.