integrals of rational functions
integrals of irrational functions
integrals of trigonometric functions
integrals of inverse trigonometric functions
integrals of hyperbolic functions
integrals of arc hyperbolic functions
integrals of exponential functions
integrals of logarithmic functions
all type of integral you can download at http://integral-table.com/
or you can download other integral table in pdf here
to learn more how to proof integral table, you can go to http://math2.org
other site that provide integral table is http://infinity.cos.edu/
or you can learn more at free encyclopedia wikipedia and learn about development of calculus in integration at http://kr.cs.ait.ac.th