Chapter 4 - Integrals - 4.3 The Fundamental Theorem of Calculus - 4.3 Exercises - Page 328: 49

$x^{-4}$ is not continuous in $(-2,1)$, and hence FTC-2 cannot be applied.

According to the fundamental theorem of calculus, $\int_a^bf(x)dx = F(b)-F(a)$, where $F$ is the antiderivative of $f$ or $F'=f$, provided that $f$ is continuous in $(a, b)$. Here, $x^{-4}$ is not continuous in $(-2,1)$ and as an infinite discontinuity at $x=0$.