Tasy said:[itex]\int \frac{x-3}{x^2+2x-5}dx[/itex]
How integrate this task?
[itex]x^2+2x-5=0[/itex]
[itex]D=24[/itex], so I can't get real root.
An integral task is a type of mathematical problem that involves finding the area under a curve. It is commonly used in calculus and other branches of mathematics and science.
The process of solving an integral task involves finding the antiderivative of the function and then evaluating it at the given limits of integration. This can be done using various techniques such as substitution, integration by parts, or partial fractions.
Integrating is a fundamental tool in mathematics that allows us to find the total or accumulated value of a quantity. It is used in many real-world applications, such as finding the area under a curve, calculating work and displacement in physics, and determining the expected value in statistics.
There are two main types of integrals: definite and indefinite. A definite integral has specific limits of integration and gives a numerical value as the result. An indefinite integral does not have limits of integration and gives a function as the result, which can then be evaluated at specific points.
One way to check the correctness of your integral answer is to take the derivative of the result and see if it matches the original function. Additionally, you can use online tools or graphing calculators to verify your answer by graphing the original function and the antiderivative.