Mean value theorem for integrals

<p>The mean value theorem for integrals relates the area under a curve (the definite integral) to the mean value of that curve over the same interval. It is quite a simple theorem, in fact almost obvious, but other important theorems rely on it.</p> <p>We will start with a graphical illustration before moving on to a precise statement and proof of the theorem.</p> <h1>What is the mean value theorem?</h1> <p>This graph shows the area under the curve&nbsp;<em>f(x)</em>&nbsp;between x-values&nbsp;<em>a</em>&nbsp;and&nbsp;<em>b</em>&nbsp;(ie a definite integral):</p> <p><a href="https://medium.com/recreational-maths/mean-value-theorem-for-integrals-66a54ec62048"><strong>Visit Now</strong></a></p>
Tags: value theorem