AP Calculus AB and BC glossary
Limits of integration
The limits of integration are the two numbers attached to a definite integral, marking where the accumulation starts and stops. When you substitute, either convert them to the new variable or convert the antiderivative back before evaluating.
Swapping the limits negates the integral, and equal limits make it zero. Both are properties worth knowing, because they turn awkward setups into short ones.
The mistake
Substituting u but leaving the original x limits in place. Either change the bounds to u values or convert back to x first; mixing the two is the classic substitution error.
Appears in: Unit 6: Integration and Accumulation