The step of integrating $\int u*v'$ refers to using the integration process to find the antiderivative of the product of two functions, $u$ and $v'$.
The step of integrating $\int u*v'$ is important because it allows us to solve a wide range of problems in mathematics and science, including finding areas under curves, calculating work done, and determining the growth rates of quantities.
Some common techniques for integrating $\int u*v'$ include integration by parts, substitution, partial fractions, and trigonometric substitution.
Some tips for successfully integrating $\int u*v'$ include identifying the correct substitution or integration technique to use, carefully applying the chain rule and product rule, and simplifying the resulting expression as much as possible.
Yes, some common mistakes to avoid when integrating $\int u*v'$ include misapplying the chain rule or product rule, forgetting to add the constant of integration, and making arithmetic errors while simplifying the resulting expression.