When dealing with tough integration problems, there are a few tricks that can make things a lot easier:

1. Substitution: This means changing variables to help simplify the integral. For example, if you have the integral $\int 2x \cos(x^2) \, dx$, you can let $u = x^2$. This change can make the integral simpler to solve.

2. Integration by parts: This technique uses the formula $\int u \, dv = uv - \int v \, du$. It works well for integrals like $\int x e^x \, dx$.

3. Partial fractions: This is about breaking difficult fractions into easier parts. For instance, if you’re looking at $\int \frac{1}{x^2 - 1} \, dx$, you can use partial fractions to split it into smaller, easier pieces.

Using these methods can help make tricky integrals easier to understand and solve!