The Definite Integral

$⊳$ Definite integral (4:51) Defining $\int_{a}^{b} f (x) d x$ using Riemann sum.
$⊳$ Definite integral (2:28) Definite integrals represent the area between the curve of a function $y = f (x)$ and the $x$ -axis.
$⊳$ Rewriting the limit of a Riemann sum as a definite integral (6:34) Write $lim_{n \to \infty} \sum_{i = 1}^{n} \ln (2 + \frac{5 i}{n})$ as a definite integral. (Optional)
$⊳$ Finding definite integrals using properties (2:08) Evaluate $\int_{3}^{3} f (x) d x$ and $\int_{7}^{4} f (x) d x$ using graphs.
* Practice: Finding definite integral using properties. (4 problems)
$⊳$ Definite integral on adjacent intervals (3:05) Explain the property: $\int_{a}^{b} f (x) d x = \int_{a}^{c} f (x) d x + \int_{c}^{b} f (x) d x$
$⊳$ Breaking up the integral’s interval (7:24) Evaluate definite integral with geometry.
$⊳$ Merging definite integrals over adjacent intervals (4:01) Evaluate definite integral using properties.
* Practice: Finding definite integral over adjacent intervals. (4 problems)

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The OpenLab at City Tech:A place to learn, work, and share

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