Thursday, December 22, 2011

Integrate the following integral: x sin(x)

Find the following indefinite integral:


This integral is easily solved by using the Integration by Parts formula. Follow the steps below to solve:



Reciting the Integration by Parts equation:

Set u=x and dv=sin(x) dx and solve for du and v:




Plugging in u, du, v and dv into the IBP equation above:

Simplify and then integrate the remaining integral we arrive at our final answer:




The final answer is -xcos(c)+sin(x)+C:

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