- Integration by decomposition involves breaking down a complicated function into simpler functions that can be integrated separately.
- Trigonometric functions include sine, cosine, tangent, etc. and have their own integration rules.
- Algebraic functions include polynomials and rational functions.
- Exponential functions involve e^x or a^x, where a is a constant.
- Logarithmic functions involve ln(x) or log(x), where x is a positive real number.
- Hyperbolic functions include sinh, cosh, tanh, etc. and also have their own integration rules.
Important Formulas to Remember in these topic
$$\int f(x) dx = \int g(x)h(x) dx $$
$$\int \sin^m(x) \cos^n(x) dx $$
$$\int \frac{P(x)}{Q(x)} dx$$