Question

Qual é a integral definida de

Answer 1

$\displaystyle \int\limits^1_0 \frac{\text x^3-\text x^2+\text x}{\text x}\ \text{dx} \\\\\\ \int\limits^1_0 \text x^2-\text x+1 \ \text{dx} \\\\\\ \int\limits^1_0 \text x^2\text{dx}-\int\limits^1_0 \text x\text{dx} +\int\limits^1_0 1\text{dx} \\\\\\ \frac{1^3}{3}-\frac{0}{3}-\frac{1^2}{2}-\frac{0}{2}+1-0 \\\\\\ \frac{1}{3}-\frac{1}{2}+1 \\\\\\ \frac{2-3+6}{6} \\\\\ \huge\boxed{\ \frac{5}{6}\ }\checkmark$

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