Approximating integrals

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Some integrals just can’t get calculated. For example, there is no explicit formula for the integral of the photo. But what if we must know its value or the rocket won’t launch? Well, as every engineer knows, when you can’t be precise you approximate. There are many ways to do that, but we describe here five of them (three in this post and the later two in future posts). The left point Riemann sum, the right point Riemann sum, the midpoint rule, the trapezoid rule and the Simpson rule.

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