Powers and Products of Trigonometric Functions Sines and Cosines sin"x cos"xdx Case 1:m or n is odd Main Meny☐ c8的
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trigonometric Functions Sines and Cosines x xdx m n sin cos Case 1: m or n is odd
Powers and Products of Trigonometric Functions Example 1 Calculate ∫sin2xcos5xdk Main Menu 5
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trigonometric Functions Example 1 Calculate 2 5 sin cos x x dx
Powers and Products of Trigonometric Functions Example 2 ∫sin5xdx. Main Meny C 007e
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trigonometric Functions Example 2 sin . 5 x dx
If both m and n are even,use (cx)c+c02) 1 2 Main Meny o
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. If both m and n are even, use (1 cos 2 ) 2 1 sin 2 x = − x (1 cos 2 ) 2 1 cos2 and x = + x
Powers and Products of Trig Functions Example 3 Calculate sin2 x dx and cos2x dx Main Menu 5
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trig Functions Example 3 Calculate 2 2 sin and cos x dx x dx
Powers and Products of Trigonometric Functions Example 4 sin2xcos2xd Main Meny C 007e
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trigonometric Functions Example 4 sin cos . 2 2 x x dx
Example 5 Calculate tan'x dx Main Meny o
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Example 5 Calculate 4 tan x dx
Powers and Products of Trigonometric Functions Example 6 Calculate sin 5x sin 3x dx Main Menu 5
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trigonometric Functions Example 6 Calculate sin 5x sin 3x dx.
Powers and Products of Trigonometric Functions Example 7 Calculate tan'x dx. Main Meny C
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trigonometric Functions Example 7 Calculate tan . 4 x dx
Powers and Products of Trig Functions Example 8 Calculate sec3 xdx Main Meny o
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2007 © John Wiley & Sons, Inc. All rights reserved. Powers and Products of Trig Functions Example 8 Calculate 3 sec x dx