Integration by parts can be quite tricky, especially when you're trying to find the area under curves. Here are the main steps to follow, even though they can be tough:

1. Choose Your Functions: Pick $u$ and $dv$. Getting this right is really important, but it can be hard to figure out.

2. Differentiate and Integrate: Find $du$ from $u$, and calculate the integral of $dv$ to get $v$. This is often where people make mistakes.

3. Use the Formula: Follow the integration by parts formula:

   $$\int u \, dv = uv - \int v \, du$$

   If you don't manage this step well, things can get complicated.

4. Solve the New Integral: The new integral you have to work with might not be easy to solve, which can be another challenge.

Even though these steps can feel overwhelming, with practice and careful choices of $u$ and $dv$, you can get better at it!