We can use Partial Fractions: 1/(1 - x^2) = A/(1 - x) + B/(1 + x)Originally posted by gigi9
Can someone please show me how to show that this problem below is CORRECT?
Integral of dx/(1-x^2) = x/(1-x)
Can someone please show me how to show that this problem below is CORRECT? Thanks a lot.
Integral of dx/(1-x^2) = x/(1-x)
Calculus is a branch of mathematics that deals with rates of change and accumulation of quantities. It is used to model and analyze dynamic systems in various fields such as physics, engineering, and economics.
Calculus helps us understand and solve problems involving change and motion. It is also a fundamental tool in many scientific and engineering fields, allowing us to make predictions and optimize processes.
The two main branches of calculus are differential calculus and integral calculus. Differential calculus deals with the rates of change of a function, while integral calculus deals with the accumulation of a quantity over a given interval.
Calculus is used in many real-life scenarios, such as predicting population growth, analyzing stock market trends, designing bridges and buildings, and optimizing manufacturing processes. It is also used in fields like medicine and economics to model and understand complex systems.
To improve your understanding of calculus, it is important to practice solving problems and to familiarize yourself with the different concepts and techniques. You can also seek out online resources, attend study groups or seek help from a tutor or teacher.