Question

O valor da integral definida é:

Answer 1

$\int\limits^2_1 {x^3+x+\frac{1}{x^3}} \, dx = \\\\\int\limits^2_1 {x^3}dx + \int\limits^2_1 {x} \, dx +\int\limits^2_1 {x^{-3} \, dx=$

$[\frac{x^4}{4} + \frac{x^2}{2} + \frac{x^{-2}}{2}]|^2_1 = F(2) - F(1) = \frac{2^4}{4} + \frac{2^2}{2} + \frac{2^{-2}}{2} - (\frac{1^4}{4} + \frac{1^2}{2} + \frac{1^{-2}}{2} ) = \\\\ \boxed{\frac{45}{8}}$

Answer 2

Resposta:

45/8

Explicação passo-a-passo: