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Mathemaitcs
If we construct the graph of the integrand *y = f(x)*, then for f(x) ≥ 0, the definite integral is numerically equal to the area bounded by the curve *y = f(x)*, the *x*-axis and the straight lines *x = a *and *x = b*

In general represents an algebraic sum of the areas of the figures bounded by the graph of the function *y = f(x)*, the *x-axis* and the straight lines *x = a *and *x = b*.

The areas above the *x-axis* enter into this sum with a plus sign, while those below the *x*-axis enter it with a minus sign (shown in figure).