We have a continous and differentiable curve f(x)=y passing through (1,1) satisfying the property that the tangent drawn to the curve at the point (x,f(x)) intersects the x-axis at the point (2x,0).

Find the value of $\int _{ 1 }^{ 2 }{ f(x)dx }$

Your answer seems reasonable.
Find out if you're right!