$$\int_{a}^{b} f(x)dx = F(b) – F(a)$$
The solutions to the equation \( ax^2 + bx + c = 0 \) are given by:
\[
x = \frac{ -b \pm \sqrt{b^2 – 4ac} }{2a }
\]
For a right triangle with legs \( a \) and \( b \), and hypotenuse \( c \):
\[
a^2 + b^2 = c^2
\]
Euler’s formula states:
\[
e^{i\pi} + 1 = 0
\]
The binomial expansion of \( (a + b)^n \) is:
\[
(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k
\]
The probability of event \( A \) is:
\[
P(A) = \frac{ \text{Number of favorable outcomes} }{ \text{Total number of outcomes} }
\]
If
\[
A = \begin{pmatrix}
a_{11} & a_{12} \\
a_{21} & a_{22}
\end{pmatrix},
\quad
B = \begin{pmatrix}
b_{11} & b_{12} \\
b_{21} & b_{22}
\end{pmatrix}
\]
then
\[
AB = \begin{pmatrix}
a_{11}b_{11} + a_{12}b_{21} & a_{11}b_{12} + a_{12}b_{22} \\
a_{21}b_{11} + a_{22}b_{21} & a_{21}b_{12} + a_{22}b_{22}
\end{pmatrix}
\]
