- #1
laura1231
- 28
- 0
Hi, I tried to solve this integral
\(\displaystyle \int\sqrt{1-\frac{1}{x^3}}dx\)
but i can't solve it...
can someone help me?
\(\displaystyle \int\sqrt{1-\frac{1}{x^3}}dx\)
but i can't solve it...
can someone help me?
laura123 said:thanks for your answer, this integral is a consequence of an attempt to solve this differential equation $y''+y-\dfrac{y}{1+x^3}=0$...
laura123 said:yes $\chi\sigma$, it seems simple...apparently
An indefinite integral is a mathematical concept that represents the antiderivative of a function. It is denoted by the symbol ∫ and is used to find the original function when only its derivative is known.
To solve an indefinite integral, you need to use the rules of integration, such as the power rule, integration by parts, and substitution. These rules allow you to manipulate the function in order to find the antiderivative.
A definite integral has specific limits of integration, while an indefinite integral does not. In other words, a definite integral represents the area under a curve between two specific points, while an indefinite integral represents the family of functions that have a given derivative.
Yes, there are many online calculators and software programs available that can help you solve indefinite integrals. However, it is important to understand the concepts and rules of integration in order to verify the accuracy of the results.
Knowing how to solve indefinite integrals is important because it allows you to find the original function from its derivative. This is useful in many areas of mathematics, physics, and engineering, as it helps to solve various problems and model real-world situations.