Skip to Main Content
Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
1450 INDEFINITE AND DEFINITE INTEGRALS
27.
Z
e
ax
sin bx dx = e
ax
a
a
2
+ b
2
sin bx
b
a
2
+ b
2
cos bx
.
28.
Z
e
ax
sin
2
x dx =
e
ax
a
2
+ 4
a sin
2
x 2 s in x cos x +
2
a
.
29.
Z
e
ax
sin
n
x dx =
e
ax
sin
n1
x
a
2
+ n
2
(a sin x n cos x) +
n(n 1)
a
2
+ n
2
Z
e
ax
sin
n2
x dx.
Integrals involving sin x and cos x.
1.
Z
sin ax cos bx dx =
cos[(a + b)x]
2(a + b)
cos
(a b)x
2(a b)
, a 6= ±b.
2.
Z
dx
b
2
cos
2
ax + c
2
sin
2
ax
=
1
abc
arctan
c
b
tan ax
.
3.
Z
dx
b
2
cos
2
ax c
2
sin
2
ax
=
1
2abc
ln
c tan ax + b
c tan ax b
.
4.
Z
dx
cos
2n
x sin
2m
x
=
n+m1
X
k=0
C
k
n+m1
tan
2k2m+1
x
2k 2m + 1
, n, m = 1, 2, . . .
5.
Z
dx
cos
2n+1
x sin
2m+1
x
=C
m
n+m
ln |tan x|+
n+m
X
k=0
C
k
n+m
tan
2k2m
x
2k2m
, n, m = 1, 2, . . .
Reduction formulas.
The parameters ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Differential Equations, 2nd Edition

Differential Equations, 2nd Edition

Steven G. Krantz

Publisher Resources

ISBN: 9781466581494