Determine whether the improper integral converges

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

Problem

Determine whether the improper integral ∫4∞1x2−4x+3 dx\displaystyle\int_{4}^{\infty} \frac{1}{x^{2}-4x+3}\,dx converges. If it converges, state its exact value.

Related theory

Browse the problem library