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education/math/MATH1210 (calc 1)/Integrals.md
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@ -213,4 +213,6 @@ $$ \lim_{n \to \infty} \sum_{i = 1}^n (f(x_i)-g(x_i)\cdot \Delta x)$$
- $\Delta x$ is the width of each sub-interval. - $\Delta x$ is the width of each sub-interval.
This sum can also be described as: This sum can also be described as:
$$ = \int_a^b(f(x)-g(x))dx $$ $$ = \int_a^b(f(x)-g(x))dx $$
Where the two lines intersect each other, you'll need to split the solution into a sum of integrals to ensure that $f(x) \ge g(x)$, by swapping the two.