SOLUTION: what is the area under a curve with the equation y= negative 2x to the 2nd power + 6x + 36

Question 701047: what is the area under a curve with the equation y= negative 2x to the 2nd power + 6x + 36
Answer by Alan3354(69443) (Show Source): 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
------------
y = -2x^2 + 6x + 36
Assuming you mean bounded by the x-axis:
It intersects the x-axis at x = -3 and x = +6
-------------
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
-----
INT(6) - INT(-3) = 243 sq units
Area = 243 sq units

RELATED QUESTIONS
can you solve these problems in steps? Set2 1. solve the equation 5x+3=-15, for x... (answered by rapaljer)

What is Y to the 2nd power times Y to the negative 5th power? Thank... (answered by rothauserc)

what is negative 5 to the 5th power times negative 5 to the negative 2nd... (answered by Alan3354)

hi i need help with negative exponents. what is 7 to the -2nd power? Thanks (answered by nerdybill)

i really need help with negative exponents. what is 6 to the -2nd power? thanks (answered by HyperBrain)

1. what is the product of (6x)squared and (2x) to the negative fourth power? 2. the base (answered by nerdybill)

What is the value of 2x to the 2nd power minus z to the 2nd... (answered by josgarithmetic)

Y=2x to the 2nd... (answered by solver91311)

What is 9 to the negative 2nd power to the 3rd... (answered by Alan3354)