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In integration byparts why don’t we write constant”C” for every integration

In integration byparts why don’t we write constant”C” for every integration

Grade:12

1 Answers

karthika
16 Points
6 years ago
First of all the idea of writing the constant c at end of every integration is to say that a numerical extra value can be obtained. For example let f(x)=x2+2 and if we want to get the function by integrating x, we get only x2.so that is why we mention some constant to be present. And as per your doubt, your logic is half correct. Because if you integrate each function by parts we get constants for each one. But we write only one constant c because if we add all constants it is still a constant.
Hope this helps.

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