5.4 Indefinite Integrals and the Net Change Theorem/43: Difference between revisions

Revision as of 16:08, 30 August 2022

${\begin{aligned}\int \limits _{-1}^{2}(x-2|x|)dx\\[2ex]&=\int \limits _{-2}^{0}(x-2(-x))dx+\int \limits _{0}^{2}(x-2(x))dx\\[2ex]\end{aligned}}$

@@ Line 1: / Line 1: @@
-<math> \int\limits_{-1}^{2}(x-2|x|)dx
+<math>
+\begin{align}
+\int\limits_{-1}^{2}(x-2|x|)dx \\[2ex]
+&= \int\limits_{-2}^{0}(x-2(-x))dx + \int\limits_{0}^{2}(x-2(x))dx \\[2ex]
+\end{align}
 </math>
-<math> =\int\limits_{-2}^{0}(x-2(-x))dx + \int\limits_{0}^{2}(x-2(x))dx =
-</math> = \left(x^2\right)