Who is the prototype of Peng Jiaju?
The difference and solution between "finding definite integral" and "finding derivative of definite integral" are as follows:
I. Different definitions
1, the definite integral is essentially the original function of the function and the limit of the integral sum of the function f(x) in the interval [a, b]. If the definite integral exists, it is a specific value (the area of the curved trapezoid).
2. Derivation of definite integral: Derivation of variable limit function refers to direct derivation of variable limit function. Generally, it does not integrate (nor can it integrate), but it is just a function formula.
Second, the operation direction is different.
1. Find definite integral: After finding the original function, just substitute the upper and lower bounds into the original function and subtract.
2. Derivation of definite integral: If at least one of the upper and lower bounds of definite integral is not a constant, but a variable X (or a function of variable X), then for each given value of X, definite integral has a corresponding value, which is the integral variable limit function.