What is the net area between #f(x) = sqrt(x^2+2x+1) # and the x-axis over #x in [2, 4 ]#?
Actually we can do this one without the need of Calculus, as follows.
Since we are only concerned with
The area between
(i) a rectangle of sides
(ii) a right triangle of sides
Area of rectangle =
Area of right triangle =