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举一反三
【单选题】\(I = \int_0^{+\infty} x^{\alpha}\sin(x^{\beta})dx\)于何时收敛?
A.
\(\alpha < -1, \beta = 0\)
B.
\(-2 < \frac{\alpha + 1}{\beta} < -1\)
C.
\(-1 < \frac{\alpha + 1}{\beta} < 1\)
D.
\(\frac{\alpha + 1}{\beta} > 1\)