Integration Ultimate Method for function of different type

In this course, i have prepared lecture for various type of function which are not solved by ordinary integration methods, course is described as

1 Integration of rational function having linear numerator and denominator

2 Integration of rational exponential function

3 Integration of function having exponential and cosine function as product of both.

4 Integration of function having exponential and sin function as product

5 Integration of sin power 4 x

6 Integration of cos power 4 x

7 Integration of tan power 4 x