How do you calculate the area under a curve?
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.
How do you find the area under a curve by numerical method?
The trapezoidal rule is a numerical integration method to be used to approximate the integral or the area under a curve. The integration of [a, b] from a functional form is divided into n equal pieces, called a trapezoid. Each subinterval is approximated by the integrand of a constant value.
How do you find the area under a curve?
How do you solve trapezoidal rule in surveying?
Thus the trapezoidal rule may be stated as follows: To the sum of the first and last ordinate, twice the sum of intermediate ordinates is added. This total sum is multiplied by the common distance. Half of this product is the required area.
How do you find the area under a curve in pharmacokinetics?
Also, AUC is referenced when talking about elimination. The amount eliminated by the body (mass) = clearance (volume/time) * AUC (mass*time/volume).
What are the rules of a trapezoid?
trapezoid rule. n. (Mathematics) a rule for estimating the area of an irregular figure, by dividing it into parallel strips of equal width, each strip being a trapezium . It can also be adapted to obtaining an approximate value of a definite integral.
How do you calculate the square footage of a trapezoid?
In this case you need the top edge, bottom edge, left side, right side. The formula for a trapezoid is: Square footage Trapezoid= Height* (top edge + bottom edge)/2.
What is the area of an irregular trapezoid?
1 Answer. However, despite this additional layer of complexity, the area of an irregular trapezoid can be a calculated with a simple formula. Line up the straight edge of a protractor along the shorter of the two parallel sides. Use the protractor to draw a line perpendicular (i.e. at a 90-degree angle) from this side of the trapezoid,…
What are the dimensions of a trapezoid?
A trapezoid has bases that are 30 and 55 centimeters in length and the non-parallel sides (or legs) are 15 and 20 centimeters.