Mathematics

Mathematics

Problem

Which of the following improper integrals is convergent? a) ∫1∞1x dx\displaystyle \int_{1}^{\infty} \frac{1}{x}\,dx b) ∫1∞1x ln⁡x dx\displaystyle \int_{1}^{\infty} \frac{1}{x\,\ln x}\,dx c) ∫1∞1x1.1 dx\displaystyle \int_{1}^{\infty} \frac{1}{x^{1.1}}\,dx d) ∫1∞1x0.8 dx\displaystyle \int_{1}^{\infty} \frac{1}{x^{0.8}}\,dx

Browse the problem library