If you have The Mathematics Companion, the relevant sections are 1.4, 1.5.4, 1.6.2, and 1.7.

Here is a selection of videos mostly from Kahn Academy that are most appropriate for reviewing key concepts in integral calculus applicable to physics:

The antiderivative and the fundamental theorem of calculus (part 1)

The antiderivative and the fundamental theorem of calculus (part 2)

Integrals of elementary functions: sin, cos and e.

Integration via u-substitution (intro)

Integration via u-substitution (example)

Integration via u-substitution ( example, twice in one problem; really common)

Integration via trig-double angle identities (example)

Integration via trig-sub (intro)

Integration via trig-sub (example)

Integration with trig and hyperbolic functions (examples; mathsaurs)

Integration via trig and u-sub part 1 (also really common)

Integration via trig and u-sub part 2 (also really common)

Integration by parts (intro)

Integration by parts (example)