The process for integrating an equation by hand involves breaking down the equation into smaller parts, using integration rules and techniques to solve each part, and then combining the solutions to get the final integrated equation.
Knowing how to integrate an equation by hand allows for a deeper understanding of mathematical concepts and can be useful in problem-solving and real-world applications where computer software may not be available.
Some common integration rules and techniques include the power rule, substitution, integration by parts, and trigonometric substitution.
You can check the accuracy of your integrated equation by taking the derivative of the integrated equation and comparing it to the original equation. If the two equations are equal, then the integration was done correctly.
Some tips for making the integration process easier include practicing regularly, using tables of integration formulas, and breaking down the equation into smaller parts to focus on one at a time.