THE NEWTON-LEIBNITZ FORMULA
In this video, the integral will be seen in a new light: as a function of a variable upper limit. We'll discuss this through the lens of geometric meaning and arrive at the main point: the Newton-Leibniz formula.
Although this formula is familiar to many from school, only now will we carefully arrive at this result, which expresses the crucial connection between the integral and the derivative. And, of course, it will allow us to calculate definite integrals in numerous applications.
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00:00 Start
01:09 Integral as a function of upper limit
02:54 Relationship between integral and derivative
06:30 Newton-Leibniz formula
09:23 Example 1, finding area
13:15 Example 2, finding area
16:33 Conclusion
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