N integrate integration strategies introduction

Tutorial 2 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1

NIntegrate[(1/Sqrt[Abs[x - 1]]), {x, 0, 2}]

Output

7781.165464676946

Step 2

points = Reap[NIntegrate[(1/Sqrt[Abs[x - 1]]), {x, 0, 2}, EvaluationMonitor :> Sow[x]]][[2, 1]];
Graphics[{PointSize[0.006], Point /@ N@Transpose[{points, Range[Length[points]]}]}, PlotRange -> All, AspectRatio -> 1, Axes -> True]

Output

-Graphics-

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Functions used

Abs Graphics Length NIntegrate PointSize Range Reap Sow Sqrt Transpose

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