Determine whether the improper integral _ 1 ^ 5 x^ 3/2 +x ,dx converges or diverges

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

Problem

Determine whether the improper integral

\int_{1}^{\infty} \frac{5}{x^{3/2}+x}\,dx

converges or diverges. State your conclusion.