0-a-p-1-p-2-x-2n-p-2-dx-1-lt-2n-lt-n-1-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 153893 by Tawa11 last updated on 11/Sep/21

∫_( 0) ^( ∞) a Π_(p → 1) ^∞ (((p^2 − x^(2n) )/p^2 ))dx, 1 < 2n < n + 1

$$\int_{\:\mathrm{0}} ^{\:\:\infty} \mathrm{a}\:\underset{\mathrm{p}\:\rightarrow\:\mathrm{1}} {\overset{\infty} {\prod}}\left(\frac{\mathrm{p}^{\mathrm{2}} \:\:−\:\:\:\mathrm{x}^{\mathrm{2n}} }{\mathrm{p}^{\mathrm{2}} }\right)\mathrm{dx},\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}\:\:<\:\:\mathrm{2n}\:\:<\:\:\mathrm{n}\:\:+\:\:\mathrm{1} \\ $$

Facebook Tweet Pin

0-a-p-1-p-2-x-2n-p-2-dx-1-lt-2n-lt-n-1-

Leave a Reply Cancel reply