The equation of L isA and B are two points which lie on the curve C, with equation The diagram shows C and the line l passing through A and B.

(a) Calculate the gradient of C at the point where x=2.

The line l passes through the point with coordinates (2, 3) and is parallel to the tangent to C at the point where x=2.

(b) Find an equation of l.

(c) Find the coordinates of A and B.

The point D is the foot of the perpendicular from B on to the x-axis.

(d) Find the area of the region bounded by C, the x-axis, the y-axis and BD.

(e) Hence find the area of the shaded region.

the coordinates of A (-1,0) B (5,6)

for question 'd' I got the area = = which is correct.

I am stuck on question 'e',

If I work out the whole area between point D and A would that be the ?

and than I minus the area of the triangle and the little area above the triangle on the left hand side of the y-axis ?

- = 54 .

=

Area of triangle =

The correct answer is

Can someone show me where I have gone wrong or whats the correct method?

Thanks.