Who is the prototype of Peng Jiaju?

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.