"University calculus"-chape5-integral Method-Basic theorem of calculus

The mean value theorem for definite integrals:

The definition of the integral itself is simple, but in the teaching process people often remember only its calculation method, in the introduction of the concept of integral, often it is tightly tied to the calculation method, in fact, in the simple definition of integrals, the basic theorem of calculus tells us the calculation method of integral.

Basic theorem of calculus:

Can see, it is based on such a basic theorem, we can find the integral calculation method, from this angle can fully understand why the process of the integration is actually a "antimissile number" (derivative of the inverse) process.

"University calculus"-chape5-integral Method-Basic theorem of calculus