Saturday, 11 February 2017

Basic Integration

Integration is the reverse of differentiation.

The rule for integration is shown below.

This is the symbol of integration.

This is included because you are integrating with respect to x.

C is the constant of integration. When you differentiate, constants disappear, so lots of functions have the same derivative. When you integrate, the constant is unknown, so you have to write +c at the end.

Consider this equation.

Putting this into the above formula shows us this:

Similar to differentiation, with an equation with many different terms of x, each separate one is integrated separately. For instance:

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