00:01
So we're given this integral over here, the integral from 0 to 1 of 2x minus 5 divided by x squared minus 5x plus 6 dx.
00:16
Now we're asked to determine whether this integral is improper.
00:19
And remember, an integral is just the area under the curve of this function, or more precisely between the function and the x -axis.
00:28
And so what we see over here is that, is that, so i went ahead and graph this function over here.
00:41
So this function over here, i went ahead and grafted it.
00:47
And so that over there is the graph.
00:49
And so we're looking at the, remember, improper integrals.
00:52
Sorry, i should have started with that.
00:54
Improper integrals are definite integrals that cover an unmounted area.
00:58
Meaning like if you take the integral and if you look at the graph there's going to be like infinite area under the curve and the function and so we can do the same analysis using this graph here so we're looking from x equals zero to x equals 1 well we have unbounded if we look at the area between the x -axis and the function well we can sorry i did not mean to that i'll just shade the area here, well, this over here is the area, and we can actually find this area...