Integration: Basic Definition and Techniques
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2 sessions
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In this series, we will cover all of integration from AP Calculus AB/BC, including the definition in terms of Riemann sums, the fundamental theorem of calculus, and evaluating basic integrals including polynomials (that is, the reverse power rule), and exponential functions.
Then, we will introduce u-substitution, which is essentially the reverse chain rule, and integration by parts, which is the reverse product rule.
Lastly, we end with looking at improper integration!
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Please attend at least of of the two sessions and notify me in advance if you plan to be absent!
SESSION 1
25
Jun
SESSION 1
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Wed 2:00 PM - 3:15 PM UTCJun 25, 2:00 PM - 3:15 PM UTC
We will introduce the integral as the area under a graph, discuss the definition in terms of Riemann sums as well, which we will use to evaluate certain integrals.
Then, we move onto the fundamental theorem of calculus (most importantly, providing the intuition behind this!), and the use this to evaluate basic integrals including polynomials (that is, the reverse power rule), and exponential functions.
SESSION 2
2
Jul
SESSION 2
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Wed 2:00 PM - 3:15 PM UTCJul 2, 2:00 PM - 3:15 PM UTC
We will work our way through more complicated integrals, including the use of u-substitution and integration by parts!