The integral value of $\int_0^1 \int_0^{1-x} \int_0^{1-x-y} \frac{dz dy dx}{(1+x+y+z)^3} $ is given by_____

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$log⁡\sqrt{2} – \frac{7}{16}$

TuteeHUB · Answer

$log⁡\sqrt{4} + \frac{5}{32}$

TuteeHUB · Answer

$log\sqrt{2} – \frac{5}{16}$

TuteeHUB · Answer

$log⁡\sqrt{4} – \frac{6}{32}$

1.	The integral value of \(\int_0^1 \int_0^{1-x} \int_0^{1-x-y} \frac{dz dy dx}{(1+x+y+z)^3} \) is given by_____
A.	\(log⁡\sqrt{2} – \frac{7}{16}\)
B.	\(log⁡\sqrt{4} + \frac{5}{32}\)
C.	\(log\sqrt{2} – \frac{5}{16}\)
D.	\(log⁡\sqrt{4} – \frac{6}{32}\)
Answer» D.

The integral value of \(\int_0^1 \int_0^{1-x} \int_0^{1-x-y} \frac{dz dy dx}{(1+x+y+z)^3} \) is given by_____