Evaluate each integral. Then state whether the result indicates that there is more area above or below the x -axis or that areas above and below the axis are equal. ∫ 0 1.5 ( x − x 2 ) d x
Evaluate each integral. Then state whether the result indicates that there is more area above or below the x -axis or that areas above and below the axis are equal. ∫ 0 1.5 ( x − x 2 ) d x
Solution Summary: The author explains the formula of definite integral to calculate the value of the given integral.
Evaluate each integral. Then state whether the result indicates that there is more area above or below the x-axis or that areas above and below the axis are equal.
∫
0
1.5
(
x
−
x
2
)
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Use a calculator or a computer to evaluate the definite integral.
Enter the exact answer.
13
%3D
= xp(x + x) /
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Write the given (total) area as an integral.
* The area above the x-axis and below y = 4 - x^2* The area between y= sinx and the x-axis for 0 ≤ ? ≤ π
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