Welcome to all then: integral calculus. Integrate is the reciprocal process of the result, i.e., given a function f (x), looking for those functions F (x) that to be derived leading to f (x). It says, then F (x) is a primitive or antiderivada of f (x); said otherwise the primitives of f (x) is differentiable functions F (x) such that: F (x) = f (x). If a function f (x) is primitive, it has infinite primitives, differentiating them all in a constant. Indefinite integral is the set of the primitive infinite who can have a function. Do is represented by? f (x) dx. Do you read: integral of differential x x.? It is the sign of integration. f (x) is the integrating or function to be integrated.
DX is differential of x, and indicates what is the variable of the function to be integrated. C is the constant of integration and can take any real numerical value. If F (x) is an antiderivative of f (x) must be:? f (x) dx = F (x) + C to verify that the antiderivative of a function is correct enough with derive. Properties of the indefinite integral?do f (x) + g (x) dx =? f (x) dx +? g (x) dx immediate INTEGRALS of the derivation of elementary functions are deduced their corresponding immediate calls integrals. It is necessary to learn these results if you intend to be agile in the calculation of other less simple integrals.
1.?do f (x) + g (x) dx =? f (x) dx +? g (x) dx 2. do k f (x) dx = k? f (x) dx 2. If integrating by parts, we have a polynomial of degree n, we take it as u and the process is repeated n times. If we have an integral with only a logarithm or a bow, integrate by parts taking: v = 1.