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O.J.
- 199
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... of (x tan^2 x). i don't know how to do it. pls help
O.J. said:any ideas?
Integration by substitution followed by parts is a method of integrating a function that involves breaking it down into smaller parts and using substitution to simplify the integration process.
This method is typically used when the integrand (the function being integrated) can be broken down into two smaller functions, one of which can be easily integrated by substitution and the other by parts.
To use this method, first identify the two functions that make up the integrand. Then, use substitution to simplify one of the functions, and use integration by parts to integrate the other function. Finally, combine the two results to solve the original integral.
This method can be used to solve integrals that would be difficult or impossible to solve using other methods. It also allows for the integration of more complex functions by breaking them down into smaller, more manageable parts.
While this method is useful for many integrals, it may not work for all types of functions. Some integrals may require other methods, such as trigonometric substitution or partial fractions, to solve. It is important to consider all available integration techniques when approaching a difficult integral.