Techniques of integration from "summary" of Differential Calculus by S Balachandra Rao
The techniques of integration serve as valuable tools in the realm of calculus, enabling us to find antiderivatives and calculate definite integrals effectively. Through a series of methods and strategies, we are able to tackle a wide array of functions and successfully integrate them. These techniques provide us with the means to solve complex problems and gain a deeper understanding of the behavior of functions.
One such technique is integration by substitution, where we substitute a new variable in place of the original variable in order to simplify the integrand. This method proves to be particularly useful when dealing with composite functions or expressions that are not easily integrable. By making the appropriate substitution, we are able to transform the integral into a more manageable form, allowing us to solve it with ease.
Another important technique is integration by parts, which is based on the product rule for differentiation. This method involves choosing two functions to differentia...
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