5.5 The Substitution Rule/39: Difference between revisions

Revision as of 19:55, 1 September 2022

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

u=\sec(x)</math>

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

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

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

$={\frac {1}{3}}u^{3}\,+\,c$

@@ Line 9: / Line 9: @@
 <math>\int\sec^{3}(x)\tan(x)\,</math>
-<math>\int u^{2}\,du</math>
+<math>=\int u^{2}\,du</math>
 <math>=\frac{1}{3}u^{3}\,+\,c</math>