How do I use integration in physics?

How do I use integration in physics?

Integration is a fundamental tool in physics used to calculate quantities like area, volume, and displacement. What specific application are you interested in?

Can you explain how to use it for finding the area under a curve?

Sure! To find the area under a curve, you can use definite integrals. For example, if you have a function f(x) that describes the curve, the area from x=a to x=b is given by the integral ∫[a to b] f(x) dx.

What about using integration for motion problems?

In motion problems, integration helps find displacement from velocity. If you have a velocity function v(t), the displacement over time t is found by integrating: s = ∫ v(t) dt.

Can you give me an example of that?

Absolutely! If v(t) = 3t^2, then the displacement from t=0 to t=2 is s = ∫[0 to 2] 3t^2 dt, which you can solve to find the total displacement.