Understanding integration makes problem-solving in calculus easier. Here’s how:

1. Connection to Derivatives: Integration is like the opposite of differentiation. This means it helps us figure out problems that deal with how things change.

2. Area Under Curves: Integration helps us find the area below curves. This is really important in fields like physics and engineering. For example, the formula $A = \int_{a}^{b} f(x) \, dx$ can help us estimate the area from $x=a$ to $x=b$.

3. Real-World Applications: About 70% of calculus problems need integration. This shows just how important it is in real-life situations.