Question

найти интеграл dx/4-x^2

Answer 1

$\huge\int \frac{dx}{4-x^2}=-\int \frac{dx}{x^2-4}=-\frac{1}{2*2}\ln\bigg|\frac{x-2}{x+2}\bigg|+C$

Answer 2

Табличный интеграл:

$\int \frac{dx}{4-x^2}=\int \frac{dx}{2^2-x^2}=\frac{1}{2\cdot 2}\cdot ln\Big |\frac{2+x}{2-x}\Big |+C=\frac{1}{4}\cdot ln\Big |\frac{2+x}{2-x}\Big |+C$