Mastering Riemann Sums: How to Estimate Area Under a Curve with Ease

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ive been searching for ages on how to do Reimann sums, and none of it makes any sense to me compared to other forms of integration. My problem is i have to use Riemann Sums to estimate the area under the curve f(x) = x^2 between x=2 and x=12. Any help would be hugely appreciated, Thanks
 
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thanks heaps for the post, really helps me, cheers
 

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