Page 88 - DMTH202_BASIC_MATHEMATICS_II

Unit 6: Properties of Definite Integral

The integral from a to b equals this area: Notes

And the integral from b to c equals this area:

We can observe evidently from the graphs that if we sum these two last areas we’ll obtain the
area from a to c. That is:
c b c
a  f   x dx  a  f   x dx  b  f   x dx

Notes These numbers don’t require to be in the order I. That is, it is not essential for them
to seize the relationship: a < b < c.

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