integreerimiskonstant

Integreerimiskonstant is the Estonian term for the constant of integration. It arises when finding the indefinite integral of a function. When a function f(x) is differentiated, any constant term disappears. Therefore, when performing the reverse operation, integration, there are infinitely many possible constant terms that could have been present in the original function. To account for all these possibilities, a symbol, typically 'C', is added to the result of an indefinite integral. This 'C' represents any arbitrary real number. For example, the indefinite integral of 2x is x^2 + C. The derivative of x^2 + C with respect to x is 2x, regardless of the value of C. The value of the integreerimiskonstant is often determined by additional conditions, such as a point the original function must pass through, which are provided in specific problem statements. Without such conditions, the integreerimiskonstant remains undetermined. It is a fundamental concept in calculus, essential for solving differential equations and understanding the relationship between differentiation and integration.