Doubt from area

Circled question

Delete "the x-axis"...

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

But area is not coming exact as given by him i am uploading answer

Please help

Because he marked the wrong area
This should be the required area

1 Like

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 :infinity:
Now add both of these

Ok

How can upper limit be infinity ?