Question

O cálculo da integral ʃ(2)-(∞)dx/(4-x)² resulta em:

Answer 1

$\int\limits^2_{-\infty} {(4-x)^2} \, dx$

$u=4-x$

$dx=-du$

$\int\ {-u^2} \, du$

$- \frac{u^3}{3}$

$\frac{(4-x)^3}{3}$

$\lim_{n \to -\infty} \frac{(2)^3}{3} -\frac{(4-n)^3}{3}$

A integral nao converge