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education/math/MATH1210 (calc 1)/Integrals.md

@@ -51,4 +51,11 @@ $$ \int_{a}^b f(x) dx $$
 And __can__ be defined as:
 $$ \int_a^b f(x) dx = \lim_{n \to \infty} \sum_{i = 1}^n f(x_i)\Delta x$$
 
-$f(x_i)$ is the *height* of each sub-interval, and $\Delta x$ is the change in the *x* interval, so $f(x_i) \Delta x$ is solving for the area of each sub-interval.
+$f(x_i)$ is the *height* of each sub-interval, and $\Delta x$ is the change in the *x* interval, so $f(x_i) \Delta x$ is solving for the area of each sub-interval.
+
+## Examples
+> Find the exact value of the integral $\int_0^1 5x \space dx$ 
+
+Relevant formula:
+$$ \sum_{i = 1}^n = \dfrac{(n)(n + 1)}{2} $$
+1. $