Explain integration with a simple example
The short version: integration refers to the reverse of differentiation, used to find areas, totals and accumulated change. A quick example makes it concrete — ∫2x dx = x² + C.
How to approach it step by step
Once one example makes sense, the method generalises: recognise the standard form, substitute where needed, and always add the constant of integration. In a visual interactive session the example is built on screen piece by piece, so you see which quantity changes at each step instead of only reading a final answer. Ask for a harder variant and the explanation adapts on the spot.
Worked example
∫2x dx = x² + C.
The mistake most learners make
Omitting the constant of integration in an indefinite integral.
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