Applications of the Definite Integrals. Dr. Faud Almuhannadi Math 119 - Section(4). Done by:. Hanen Marwa Najla Noof Wala. In this part, we are going to explain the different types of applications related to the “ Definite Integrals “. Which includes talking about :
Dr. Faud Almuhannadi
Math 119 - Section(4)
different types of applications related to the “ Definite Integrals “.
Which includes talking about :
In calculus, the integral of a function extends the concept of an ordinary sum. While an ordinary sum is taken over a discrete set of values, integration extends this concept to sums over continuousdomains
The simplest case, the integral of a real-valued function f of one real variable x on the interval [a, b], is denoted:
The function ∫ sign represents integration; aandb are the lower limit and upper limit of integration, defining the domain of integration; f(x) is the integrand; and dx is a notation for the variable of integration
The most basic technique for computing integrals of one real variable is based on the fundamental theorem of calculus. It proceeds like this:
Area Under a Curve
The graph below shows the curve
and is shaded in the region
Area between two curves
Superimposing the two graphs: function
Area bounded by f(x) and g(x)
y = 0 and y = 3(x3 - x)
y = x2 - 4x – 5
y = x + 1
x + 1 = x2 - 4x - 5
x = -1 or x = 6
Required Area =
Volume Of A Revolution function
Rotation about y-axis: part of a curve is rotated about a straight line.
Thank u 4 listening part of a curve is rotated about a straight line.