You can put this solution on YOUR website! what is the area under a curve with the equation y= negative 2x to the 2nd power + 6x + 36
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y = -2x^2 + 6x + 36
Assuming you mean bounded by the x-axis:
It intersects the x-axis at x = -3 and x = +6
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INT(x) = -2x^3/3 + 3x^2 + 36x (Ignore the constant of integration)
INT(6) = -144 + 108 + 216 = 180
INT(-3) = 18 + 27 - 108 = -63
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INT(6) - INT(-3) = 243 sq units
Area = 243 sq units
