1-calculate-a-dx-1-x-2-x-2-a-2-with-a-gt-0-2-find-the-value-of-2-dx-1-x-2-x-2-4-

Question Number 32337 by abdo imad last updated on 23/Mar/18

1) c a l c u l a t e \int_{a}^{+ \infty} \frac{d x}{(1 + x^{2}) \sqrt{x^{2} - a^{2}}} w i t h a > 0

2) f i n d t h e v a l u e o f \int_{2}^{+ \infty} \frac{d x}{(1 + x^{2}) \sqrt{x^{2} - 4}} .