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.
5. Integration by parts:
Definite integrals
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
Integral table, integration
methods , derivative rules
