Home » Uncategorized » GATE 2016 EE - SET 2 - Question 9

GATE 2016 EE - SET 2 - Question 9

The three variables x, y and z have to be shifted to represent a single parameter t. 

Equation of line joining (0,0,0) and (1,1,1) is, 

\frac{x-0}{1-0}=\frac{y-0}{1-0}=\frac{z-0}{1-0}=t

x=y=z=t and dx=dy=dz=dt

Replacing the given equation using the parameter t and dt, we get, 

\int_{0}^{1}2t^{3}dt+\int_{0}^{1}2t^{3}dt+\int_{0}^{1}dt = \int_{0}^{1}(4t^{3}+1)

\Rightarrow [\frac{4t}{4}+t]_{0}^{1}\Rightarrow 1+1\Rightarrow 2

 

Translate »