*Calculus Need Help ASAP Pls!* Find the area between the graph of ...

Question

Find the area between the graph of  and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.

Answer 1

x/(1+x) = (u-1)/u where u=1+x

then the integral of x/(1+x) = integral of (u-1)/u

(u-1)/u = u/u - 1/u = 1 - 1/u

integral of 1du = u

integral of (1/u)du = lnu