Integral Calculus & Ord. Diff. Equations 2016 ,AIUB
Chapter 2
Applications of the Definite Integral
2.1 Area of regions between two curves
Definite integrals could be used to determine the area of the region between the graph of a
function and the x-axis

Integral Calculus & Ordinary Differential Equations
Summer 2015-2016, AIUB
Chapter 3
Methods of Integration
3.1 Integration by Parts
Suppose that u and v are differentiable. From the product rule
.
d
dx
uv u dv
v du
dx
dx
x and transposing, we have
.
In

Integral Calculus & Ordinary Differential Equations
Summer 2015-2016, AIUB
Chapter 4
Improper Integrals, Gamma and Beta Functions
4.1 Improper Integrals
An improper integral is an extended concept of a definite integral that has infinite limits on
one or