5.5 The Substitution Rule/23: Difference between revisions

Latest revision as of 19:00, 2 September 2022

$\int \cos {(\theta )}\sin ^{6}{(\theta )}d{(\theta )}$

$\int u^{6}du$

${\frac {u^{7}}{7}}={\frac {sin^{7}{(\theta )}}{7}}={\frac {sin^{7}{(\theta )}}{7}}+C$

$={\frac {1}{7}}sin{(\theta )}+C$

@@ Line 1: / Line 1: @@
 <math>
 \int \cos{(\theta)}\sin^6{(\theta)} d{(\theta)}
+</math>
+<math>
+\int u^6 du
+</math>
+<math>
+\frac{u^7}{7} = \frac{sin^7{(\theta)}}{7} = \frac{sin^7{(\theta)}}{7}+C
+</math>
+<math>
+= \frac{1}{7}sin{(\theta)}+C
 </math>