How to find an integral

If definitions from the textbook are too complex and incomprehensible, read our article. We will try as simple as possible, "on the fingers" explain the main points of such a section of mathematics as certain integrals. As the integral is calculated, read in this manual.

From a geometrical point of view, the function integral is an area of \u200b\u200bfigures formed by the schedule of this function and the axis within the integration. Write down the integral, analyze the function under the integral: if the integrand is possible to simplify (cut, make a multiplier to the integral sign, break into two simple integrals), do it.

Open the integral table to determine the derivative of which function is under the integral. The answer is found? Distribute the multiplier for the integral (if it happened), write the function found from the table, substitute the borders of the integral.

To calculate the integral value, calculate its value in the upper boundary and deduct its value at the lower boundary. The difference is the desired value.

To test yourself or at least understand the course of solving the task of integrals, it is convenient to use online service location integrals, However, before you begin to solve, read rules for entering functions. His most important advantage is that all the solution with the integral task is stipulated here.

Of course, only the simplest options for integrals are considered here - certain, in fact, the varieties of the great set integrals are studied, they are studied in the course of higher mathematics, mathematical analysis and differential equations in universities for students of technical specialties.