Evaluate ∫21(6x2−2x)dx

Question 1 Report

Evaluate $\int_{1}^{2} (6 x^{2} - 2 x) d x$

Answer Details

$\int_{1}^{2} (6 x^{2} - 2 x) d x = [\frac{6 x^{3}}{3} - \frac{2 x^{2}}{2}]_{1}^{2} = [2 x^{3} - x^{2}]_{1}^{2}$
= [2(2)3 - (2)2] – [2(1)3 - (1)2]
= [16-4] – [2-1]
= 12 – 1
= 11

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