diff --git a/education/math/MATH1210 (calc 1)/Integrals.md b/education/math/MATH1210 (calc 1)/Integrals.md index 7525f26..2cf2b0e 100644 --- a/education/math/MATH1210 (calc 1)/Integrals.md +++ b/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. \ No newline at end of file +$f(x_i)$ 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. $ \ No newline at end of file