For which real values of does the integral converge?

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For which real values of

p

does the integral

\displaystyle \int_{1}^{\infty} \frac{1}{x^{p}+3}\,dx

converge? (a)

p\ge 1

(b)

p>0

(c)

p>1

(d)

p<1