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  4. Evaluate ∫ limits23 x2 d x as the limit of a sum

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Q. Evaluate $\int\limits_{2}^{3} x^{2} d x$ as the limit of a sum

KCETKCET 2022Integrals

Solution:

$I=\left[\frac{x^{3}}{3}\right]_{2}^{3}=\frac{1}{3}(27-8)=\frac{19}{3}$