Solution assignment 09 Integration by parts

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Assignment 9

Show the following formula (we have already applied this a number of times):

\displaystyle\int{f(x)}dx=xf(x)-\displaystyle\int{xf'(x)}dx

Solution

In this integral the function (f(x)) stands before d and the other (x) after d. So we can apply integration by parts which gives the result above.

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