SUMS

The integral of an algebraic sum of differentiable functions is the same as the algebraic sum of the integrals of these functions taken separately; that is, the integral of a sum is the sum of the integrals.

Formula.

PROOF:

Therefore,

where

Then

and

EXAMPLE: Evaluate

SOLUTION:

EXAMPLE: Evaluate

SOLUTION:

PRACTICE PROBLEMS:

Evaluate the following integrals:

ANSWERS: