|
131
Trigonometric integrals
|
Trigonometric
integrals of the form
A
|
Evaluating
trigonometric
integrals using substitutions examples
|
132
Evaluating
trigonometric
integrals using substitutions and trigonometric identities examples
|
Evaluating
trigonometric
integrals using substitution tan x = t
|
Trigonometric
integrals of the form B
|
133
Integrals
of rational functions containing sine and cosine
|
Integrals
of rational functions containing sine and cosine examples
|
Integrals
of the hyperbolic functions
|
Integrals
of the hyperbolic functions examples
|
134
Substitution
and definite integration
|
Substitution
and definite integration examples
|
Integrations
by parts and the definite integral
|
The
improper integrals
|
The
improper integrals examples
|
135
Differentiation
and integration of infinite series
|
Differentiation
and integration of infinite series examples
|
Differentiation
and integration
of power series
|
Representing
the integrand function as the power series
|
136
Applications
of the definite integral
|
The
area of a region in the plane
|
The
area between the graph of f(x) and the x-axis
|
The
area between the graph of a curve and the coordinate axis examples
|
The
area bounded by a parametric curve
|
137
The
area of the sector of a curve in polar coordinates
|
The
area of the sector of a curve given in Cartesian (or rectangular) coordinates
|
The
area of the sector of a parametric curve
|
The
area between two curves
|
The
area between two curves examples
|
138
Length of plane curve, arc length
|
Length
of plane curve
given in Cartesian (or rectangular) coordinates
|
Arc length of a parametric curve
|
Arc length of a curve in polar coordinates
|
139
The
volume
of a solid of revolution
|
The
volume
of a sphere
|
The
volume
of a spherical segment
|
The
volume
of a cone
|
The
volume
of a solid of revolution examples
|
140
The
surface area of a solid of revolution
|
The
surface area generated by rotating a parametric curve
|
The
lateral surface area of a cone
|
The surface area of a spherical
cap
|
The surface area of an
ellipsoid
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved.
|