Explore the connection between definite integrals and areas under a curve

Key Points

Definite integrals can be used to find the area under a curve

If the area is above the x-axis then the definite integral is exactly the area

If the area is below the x-axis the definite integral will come out negative but the negative is dropped when stating the area

Areas can be used to evaluate definite integrals but you should keep in mind whether the area is above or below the x-axis