If the region bounded by the Curves
y = x3 + 6x , x=2, y = 0 then find
the area of region.
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✧Given curves are y = x3, y = x + 6 and x = 0
On solving y = x3
and y = x + 6,
we have x3 = x + 6 x3 – x – 6
= 0 x2(x – 2) + 2x(x – 2) + 3(x – 2
= 0 (x – 2) (x2 + 2x + 3)
= 0
It’s seen that x2 + 2x + 3 = 0
✯)has no real roots So, x = 2 is the only root for the above equation.
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