**Integral Rules**

For the following, *a*, *b*, *c*, and *C* are constants; for definite integrals, these represent real number constants. The rules only apply when the integrals exist.

**Indefinite integrals** (These rules all apply to definite integrals as well)

1.

2.

3.

4.

1.

2.

3. If *f*(*u*) ≤*g*(*u*) for all *a*≤*u*≤*b*, then

4. If *f*(*u*) ≤*M* for all *a*≤*u*≤*b*, then

5. If *m *≤*f*(*u*) for all *a*≤*u*≤*b*, then

6. If *a*≤*b*, then

**See also**

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