Table of Contents
What is area under curve at X axis?
The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.
Is the area under the curve is 1?
The area above the x -axis and under the curve must equal one, with the area under the curve representing the probability. For example, P(−2
What does the area under the curve represent?
Area under the curve basically signifies the magnitude of the quantity that is obtained by the product of the quantities signified by the x and the y axes.
How do you find area under the curve?
The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.
Why is area 1 in normal distribution?
Probabilities of the Standard Normal Distribution Z. In this case, because the mean is zero and the standard deviation is 1, the Z value is the number of standard deviation units away from the mean, and the area is the probability of observing a value less than that particular Z value.
What is the integration of 1 upon X?
Answer: The integral of 1/x is log x + C. Hence, the integral of 1/x is given by the loge|x| which is the natural logarithm of absolute x also represented as or ln x.
What does area under the curve mean in pharmacokinetics?
From Wikipedia, the free encyclopedia. In the field of pharmacokinetics, the area under the curve (AUC) is the definite integral of a curve that describes the variation of a drug concentration in blood plasma as a function of time (this can be done using liquid chromatography–mass spectrometry).