- #1
darthxepher
- 56
- 0
Would I use u subsitution or partial fractions for this integral
x/(x^2+3)^2 dx
x/(x^2+3)^2 dx
An integral is a mathematical concept that represents the area under a curve in a graph. It is used to find the total amount of something, such as distance traveled or volume, when the rate of change is known.
An integral can be calculated using various methods, but the most common method is through integration, which is the reverse process of differentiation. This involves finding an antiderivative of the function and evaluating it at the boundaries of the interval.
Integrals are used in many fields of science, such as physics, engineering, and economics, to solve problems involving rates of change. They are also used to find areas, volumes, and other quantities in mathematics.
The two main types of integrals are definite and indefinite integrals. A definite integral has specific boundaries and represents a single value, while an indefinite integral does not have boundaries and represents a family of functions.
Integrals are used in a variety of real-world applications, such as calculating work and power in physics, finding the center of mass in engineering, and determining profits and costs in economics. They are also used in probability and statistics to find the area under a probability distribution curve.