- $\rhd$ The Fundamental Theorem of Calculus (8:02) Connecting differentiation and integration.
- $\rhd$ Finding the derivative using the Fundamental Theorem of Calculus (3:23) Find $\dfrac{d}{dx}\displaystyle\int_{19}^x\sqrt[3]t dt$.
- * Practice: Finding the derivative using the Fundamental Theorem of Calculus. (4 problems)
- $\rhd$ Definite integrals: reverse power rule (4:13) Find $\displaystyle\int_{-3}^{5}4dx$ and $\displaystyle\int_{-1}^{3}7x^2dx$.
- * Practice: Definite integrals: reverse power rule. (4 problems)
- $\rhd$ Definite integrals: rational functions (5:04) Find $\displaystyle\int_{-1}^{2}\dfrac{16-x^3}{x^3}dx$.
- $\rhd$ Definite integrals: radical functions (3:50) Find $\displaystyle\int_{-1}^{8}12\sqrt[3]xdx$.
- $\rhd$ Definite integrals: trigonometric functions (4:59) Find $\displaystyle\int_{11\pi/2}^{6\pi}9\sin(x)dx$.
- $\rhd$ Definite integrals: logarithmic functions (7:26) Find $\displaystyle\int_{2}^{4}\dfrac{6+x^2}{x^3}dx$.
- *Practice: Definite integrals. (4 problems)
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