Circled question

# Doubt from area

What did you do with y=x+root(x^2) curve how did you plot it

Y= x + root x² is basically x+|x|

Therefore Y = 2x for x>0 and Y= 0 for x<0

Please help

Can you please mention the integral and the function to find area

Integrate y=2x from 0 to 1/root2

Integration y=1/x from 1/root2 to

Now add both of these

Ok

How can upper limit be infinity ?