Definite IntegrationHard

Question

The area inside the parabola 5x2 - y = 0 but outside the parabola 2x2 - y + 9 = 0 is

Options

A.12√3
B.6√3
C.8√3
D.4√3

Solution

y1 = 5x2
y2 = 2x2 + 9
A(- √3, 15)
B(√3, 15)
Area = 2dx = 2
= 2(9√3 - 3√3) = 12√3

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