College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 3E
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Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
Question
Integral Calculus:
Transcribed Image Text:X = Zasin
8. S
xv2ax-x2
dx
dx - 2.2 a sino cosodə
dx = 4a sina cosodo
X = la sina
Ya sine cose do
%3D
Zax-x2
X = la tanto
VZax tx?
(lasinta)
za (tasn'o) - (2osito)
x -la sece -lax
x²-Zax
Ya sin a coso də
za sinto lga" sin'o - 4a sintə
Vfa sin'o - 4á sintə
Hasıno cosedo
Za sinzo
|Hat sinto Li- sin'o)
4a sino coso do
Za sinto
Ma sinto(-sinte)
a sina
Za
Ad sjmo coso do
X = la sin?a
sinto
V Zax
za
ax
carsdo
Sinto coso
Sin e
%3D
a
do
sintə
-2
sin e do
%3D
a
a
1 sin 'a
arx
do
Sin e =
sin'e
I 2a-x
a
cscodo
Za-x
coto tC
arx
lax-x
X - la sinto
ax
24
tano =
%3D
PINAL ANSWER
Sin e
za
coto
za -X
Transcribed Image Text:dx
(Use problem 8
as your reference)
xVx2-2ax
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