12.2 The Definite Integrals (5.2) - University of Utah
Course: Accelerated Engineering Calculus I Instructor: Michael Medvinsky
12.2 The Definite Integrals (5.2)
Def: Let f(x) be defined on interval [a,b]. Divide [a,b] into n subintervals of equal
width
x =
b-a n
,
so
x0
= a, x1 = a + x, x j
=a+
jx, xn
=b.
Let
x*j
be
an
arbitrary
(sample)
points such that x*j ( ) xj-1, xj . Then the definite integral of f from a to b is
b
n
f
(x)dx = lim f n
( )x*j x
provided
that
the
limit
exists.
If
it
douse
exist,
we
say
that
f
is
a
j=1
integrable on [a,b].
Notes:
? is an integral sign, f(x) is an integrand and a, b are lower and upper limits
of the integral respectively. Evaluating\calculating the integral is called
integration.
b
b
b
? The integral is not dependend on x, i.e. f (x)dx = f (t)dt = f (r)dr
a
a
a
? If f(x)>0 in [a,b], then an integral represent the area that lies under f(x). For
f(x) ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- gaussian integrals university of pennsylvania
- math 104 improper integrals with solutions
- calculus i section 5 2 48 the definite integral
- 1 integration z mcgill university
- 5 korpisworld
- antiderivatives 2
- math 2d prep integration techniques facts to know
- integration by substitution
- double integrals university of surrey
- building java programs university of washington
Related searches
- wharton school of the university of pennsylvania
- state of utah division of finance
- table of definite integrals exponential
- definite integrals of exponential functions
- table of definite integrals pdf
- definition of the definite integral
- oracle 12 2 0 1 end of support
- minecraft 1 12 2 lots of food
- 2 x root 5 2 20
- 12 2 the structure of dna workbook answers
- 12 to the square root of 2
- university of utah stadium map