Chapter 3 TECHNIQUES OF
DANANG UNIVERSITY OF TECHNOLOGY
INTEGRATION
I. INTEGRATION BY PARTS
The Product Rule states that if f and g are differentiable functions, then
d f ( x) g ( x) f ( x) g '( x) g ( x) f '( x) dx
In the notation for indefini
DANANG UNIVERSITY OF TECHNOLOGY
Chapter 5 PARAMETRIC EQUATIONS AND POLAR COORDINATES
CALCULUS WITH ANALYTIC GEOMETRY II
DANANG UNIVERSITY OF TECHNOLOGY
I. CURVES DEFINED BY PARAMETRIC EQUATIONS
Suppose C is a curve in (x,y)-plane
Parametric curv
DANANG UNIVERSITY OF TECHNOLOGY
Chapter 4 FURTHER APPLICATIONS OF INTEGRATION
CALCULUS WITH ANALYTIC GEOMETRY II
DANANG UNIVERSITY OF TECHNOLOGY
I. ARC LENGTH
Suppose that a curve C is defined by the equation y=f(x), where f is continuous and axb
Chapter 2
DANANG UNIVERSITY OF TECHNOLOGY
APPLICATIONS OF INTEGRALS
I. AREAS BETWEEN CURVES
The area A of the region bounded by the curves y=f(x) and y=g(x), and the lines x=a, x=b, where f and g are continuous and f(x)g(x) for all x in [a,b], is
DANANG UNIVERSITY OF TECHNOLOGY
DANANG UNIVERSITY OF TECHNOLOGY LECTURE ON
CALCULUS WITH ANALYTIC GEOMETRY II
Dr. NguyenWITH ANALYTIC CALCULUS Chanh Dinh
GEOMETRY II
DANANG UNIVERSITY OF TECHNOLOGY
Chapter 1
INTEGRALS
I. AREAS AND DISTANCES
1.