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education/math/MATH1220 (calc II)/Integration by Parts.md

@@ -14,4 +14,7 @@ $$ \int f(x)g'(x)dx = f(x)g(x) - \int f'(x)g(x)dx$$
 
 Now, let $u = f(x)$ and $v = g(x)$, then $dv = g'(x)dx$ and $du = f'(x)dx$. 
 
-# Examples
+# Examples
+>  Evaluate the below antiderivative using integration by parts.
+$$\int xe^{2x}dx$$
+1. Define $u$ to be a value you can take the derivative of easily, in this case $u = x$,