Basic Integration Formulas
These are the fundamental building blocks for more complex integrations. You should memorize these:
- Power Rule: $ \int x^n dx = \frac{x^{n+1}}{n+1} + C $ , where $ n \neq -1 $
- Exponential Rule: $ \int e^x dx = e^x + C $
- Logarithmic Rule: $ \int \frac{1}{x} dx = \ln|x| + C $
- Trigonometric Rules:
- $ \int \sin x dx = -\cos x + C $
- $ \int \cos x dx = \sin x + C $
- $ \int \sec^2 x dx = \tan x + C $
- $ \int \csc^2 x dx = -\cot x + C $
- $ \int \sec x \tan x dx = \sec x + C $
- $ \int \csc x \cot x dx = -\csc x + C $