# How boundary conditions help in finding integration constant

1. Oct 11, 2015

### gracy

How to find value of integration constant?I know with the help of boundary conditions,but How boundary conditions help in finding integration constant?

2. Oct 11, 2015

### blue_leaf77

An integral $I$ without integration limits is an indefinite integral
$$I(x) = \int f(x) dx = F(x) + C$$
If you know at least one boundary condition, e.g. $I(x)$ at $x=a$, you can plug in these values to get
$$I(a) = F(a) + C$$
which can be solved for C.

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