Study of continuous change through derivatives and integrals.
Not all integrals are straightforward! Sometimes you need special tricks to solve them.
Change variables to make the integral easier, like undoing the chain rule in reverse.
Used when you have a product of two functions. It's based on the product rule for derivatives.
\[ \int u,dv = uv - \int v,du \]
Break complicated fractions into simpler pieces you can integrate.
These techniques let you solve a wider range of real-world problems involving areas, volumes, and accumulations.
\[\int u,dv = uv - \int v,du\]
Using substitution to find \( \int 2x \cos(x^2) dx \).
Integrating \( \int x e^x dx \) by parts.
Advanced methods help solve tricky integrals for more complex scenarios.