Triple Trouble!
Calculus
Level
4
\[\displaystyle\int_0^{\infty}\displaystyle\int_0^{\infty}\displaystyle\int_0^{\infty} \dfrac{\ dx \ dy \ dz}{\sqrt{(1+x+y+z)^7}}\]
If the above integral can be expressed as \(\dfrac{S}{G}\). Find \(\overline{SG}\)
\(\implies\) S,G are coprime integers
\(\implies\) If the answer is 17/15 the you should input 1715.
by
Parth Lohomi