5.5 The Substitution Rule/39: Difference between revisions

Revision as of 19:46, 1 September 2022

Failed to parse (syntax error): {\displaystyle \begin(align) & \int\sec^{3}(x)\tan(x)\, }

& u=\sec(x)

& du=\sec(x)\tan(x)\,dx

& \int\sec^{3}(x)\tan(x)\, &

&= \int u^{2}\,du &

&=

\end(align) </math>

@@ Line 1: / Line 1: @@
-<math>\int\sec^{3}(x)\tan(x)\, </math>
+<math>
+\begin(align)
+& \int\sec^{3}(x)\tan(x)\, </math>
-<math>u=\sec(x)</math>
+& u=\sec(x)
-<math>du=\sec(x)\tan(x)\,dx</math>
+& du=\sec(x)\tan(x)\,dx
-<math>\int\sec^{3}(x)\tan(x)\,=
-&=\int </math>
+& \int\sec^{3}(x)\tan(x)\, &
+&= \int u^{2}\,du &
+&=
+\end(align)
+</math>