For what real values of does the improper integral _ 1 ^ x^ k x^ 4 +7 ,dx converge?

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For what real values of kk does the improper integral ∫1∞xkx4+7 dx\int_{1}^{\infty} \frac{x^{k}}{x^{4}+7}\,dx converge?

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