Use the p-test to determine if the integral converges or diverges.
Answer
The integral
diverges because the integrand is of the form with p > 1 and we're integrating from 0 to 1.
is of the form
with p < 1, so this integral converges.
converges because the integrand is of the form with p > 1 and we're integrating from 1 to ∞.
The integral is of the form
where p < 1, so this integral diverges.
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with p > 1 and we're integrating from 0 to 1.
with p < 1, so this integral converges.
with p > 1 and we're integrating from 1 to ∞.
is of the form