Express the limit as a definite integral on the given interval. lim n→∞ n xi ln(2 + xi2) δx, [0, 3] i = 1

The given expression is:

This expressions represent the sum of certain numbers of rectangles that comprehend the area under a curve, where the number of rectangles tend to infinite. Actually, this definition states that when tend to infinite, there's the area under the curve.

However, this can be expresses as a definite integral, which tend to have more sense for students:

With the integral form can be shown better what we tried to say before. The integral represents the area under the given function , but just the part inside the interval from 0 to 3. The limit also refers to this, but in a different notation.

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1