integral operation - x sin(2ax) 2 4a 3cos(ax) cos(3ax) 3...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
2 3 2 3 2 22 2 sin(2 ) sin ( ) 24 3cos( ) cos(3 ) sin ( ) 41 2 sin(2 ) cos ( ) 3sin( ) sin(3 ) cos ( ) 2 [cos( )] sin( )cos( ) 2 1 sin ( )cos ( ) sin(4 ) 32 8 sin ( )cos( ) xa x ax dx a ax ax ax aa x ax dx a ax ax ax dx ax ax ax dx a x ax ax dx ax a ax ax dx =− =+ = 3 3 2 1 1 [sin( )] 3 [cos( )] sin( )cos ( ) 3 [sin( )] sin ( )cos( ) where n is a positive integer (1 ) [cos( )] sin( )cos ( ) where n is a positive integer ) sin( ) n n n n ax a ax ax ax dx a ax ax ax dx na ax ax ax dx kx e x + + = = = + = + 0 0 2 0 23 2 3 0 2 2 3 33 3 4 4 4 arctan sin( ) 2 sin( ) () 62 sin( ) ) (2 2 ) (36 6 ) ( ax ax ax ax ax ax ax ax ax ax ax ax k dx a k kx e dx ak ak xk x e d x k x e d x ea x xe dx a x a x xe dx a x a ⎛⎞ = ⎜⎟ ⎝⎠ = + = + = + = −+ = = = 43 3 2 2 5 4 12 24 24) sin( ) sin cos cos sin cos( ) cos cos sin sin x a x a x a xy x y + ±= ± m
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
23 246 357 234 cos sin 22 cosh sinh 1 ... 2! 3! cos 1 ... 2! 4! 6! sin ... 3! 5! 7! ln(1 ) ... 1 1 1 ix ix ix ix xx x ee ex xxx x x −− +− == =+ + + + =− + − + + = −+−+ =+ + 1 2 2 1 0 3/2 0 0 1 2 1/2 ... : 1 1 (1 ) ) (2 ) ) 1 ... 1 2! 3!
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/22/2011 for the course CHEM 222 taught by Professor Linda during the Spring '11 term at Edmonds Community College.

Page1 / 3

integral operation - x sin(2ax) 2 4a 3cos(ax) cos(3ax) 3...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online