In calculus, the function f? The indefinite integral of, or the original function, or the inverse derivative, is the derivative equal to f? The function of? f？ , which is F? ′ =? f .

The relationship between indefinite integral and definite integral is determined by the basic theorem of calculus. Where f is the indefinite integral of f.

The relationship between indefinite integral and definite integral;

A definite integral is a number and an indefinite integral is an expression. They only have a mathematical relationship. A function can have indefinite integral without definite integral or definite integral without definite integral.

Continuous function must have definite integral and indefinite integral; If there are only finite discontinuous points on the finite interval [a, b] and the function is bounded, then the definite integral exists; If there are jumping points, going points and infinite discontinuous points, the original function must not exist, that is, the indefinite integral must not exist.