Prove-that-0-x-6-dx-a-4-x-4-2-3pi-2-16a-a-gt-0-

Question Number 25183 by ajfour last updated on 06/Dec/17

P r o v e t h a t

\int_{0}^{\infty} \frac{x^{6} d x}{{(a^{4} + x^{4})}^{2}} = \frac{3 π \sqrt{2}}{16 a}, (a > 0) .

Commented by prakash jain last updated on 05/Dec/17

should the answer be \frac{3 π \sqrt{2}}{16 a}