Question

Evaluate triple integration 0 to 2 ,0to x,0 to x+y e^x ( y+2z)dx dy dz

Answer 1

Step-by-step explanation:

ANS.

1−xx

SOLUTION

We have

x=ey+ey+⋯to∞

It can be written as,

x=ey+x

Taking log on both the sides

logx=(y+x)loge=y+x

∴y=logx−x

By differentiating w.r. to x, we get

∴dydx=1x−1=1−xx