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

@@ -69,4 +69,11 @@ $$ \Delta x = \dfrac{1 - 0}{n} = \dfrac{1}{n}$$$$ x_i = 0 + \Delta xi + \dfrac{1
 4. $= \lim_{n \to \infty} \dfrac{5}{n^2} \sum_{i = 1}^n i$
 5. $= \lim_{x \to \infty} \dfrac{5}{n^2} \cdot \dfrac{n(n + 1)}{2}$ 
 6. $= \lim_{n \to \infty} \dfrac{5n^2 + 5n}{2n^2}$
-7. $= \dfrac{5}{2}$ 
+7. $= \dfrac{5}{2}$ 
+
+# Properties of Integrals
+1. $\int_a^a f(x)dx = 0$
+2. $\int_b^a f(x)dx = -\int_a^b f(x) dx$ 
+3. $\int_a^b cf(x) dx = c \int_a^b f(x) dx$
+4. $\int_a^b f(x) \pm g(x) dx = \int_a^b f(x) dx \pm \int_a^b g(x)dx$ 
+5. $\int