Evaluate the following definite integrals as limit of sums. `int1 4(x^2-x)dx`

Explanation

Here, the function `{f}({x})={x}^{2}-{x}` is continuous in `[1,4]`. Since dividing the `{n} `length of `[1,4]` in the same lengthg, the length of each subset is h.


i.e., `{h}=\frac{{b}-{a}}{{n}}=\frac{4-1}{{n}}=\frac{3}{{n}}, here {a}=1 \ {~b}=4`



Now, `{f}({a}+{ih})={f}(1+{ih})=(1+{ih})^{2}-(1+{ih})`


`f(a+i h)=1+2 i h+i^{2} h^{2}-1-i h`
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