grandes-ecoles 2018 Q20

grandes-ecoles · France · centrale-maths2__pc Indefinite & Definite Integrals Convergence and Evaluation of Improper Integrals

Determine for which $x \in \mathbb{R}$ the integral below is convergent $$\int_{0}^{1} \frac{t^{x} - 1}{1 - t} \mathrm{~d}t$$

Determine for which $x \in \mathbb{R}$ the integral below is convergent
$$\int_{0}^{1} \frac{t^{x} - 1}{1 - t} \mathrm{~d}t$$