5.3 The Fundamental Theorem of Calculus

Lecture

• Link

Lecture notes

1. FTC #1

Failed to parse (unknown function "\cdotf"): {\displaystyle \frac{d}{dx}\left[\int_{a(x)}^{b(x)}f(t)dt\right]=b'(x)\cdotf(b(x))-a'(x)\cdotf(a(x))}

2. FTC #2

$\int _{a}^{b}f(x)dx=F(b)-F(a)$
Where ${\frac {d}{dx}}\left[F(x)\right]=f(x)$. $F(x)$ is called the antiderivative of $f(x)$

Solutions

Mr. V solutions: 8, 20, 28

1 3 5 7 8 9 10 11 13 15 17 19 20 21 23 25 27 28 29 31 33 35 37 39 41 53