Question

Compute double integal e^x dx from 1to2 dy and from 0 to lny ?

Answer 1

`= 1/2`

Explanation:

`int_(1)^(2) dy \ int_(0)^(ln y) dx qquad e^x`

`= int_(1)^(2) dy qquad [e^x]_(0)^(ln y)`

`= int_(1)^(2) dy qquad y - 1`

`= [y(y/2 - 1)]_(1)^(2) = 1/2`