Basics of Integration

Integration of Functions

Power Rule:

$$\int x^{n}dx=\frac{x^{n+1}}{n+1}+c$$

Constant Multiple Rule:

$$\int k\cdot f(x)dx=k\int f(x)$$

Sum and Difference Rule:

$$\int f(x)+g(x)dx=\int f(x)+\int g(x)$$

Transcendental Functions

Exponential Function

$$\int e^{x}dx=e^x+c$$

Natural Log Function $\int \frac{1}{x}dx=\ln |x|+c$