If 1, = | x" sin x dx, prove that 1, = nx"-! evaluate -1,. sin x- x" cosx– n(n-1)I, 2. Hence, = NX n-2- d (tan' x)= 3 sec* x – 3 sec? x. Hence evaluate sec xdx. dx Show that

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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If I, = |x" sin x dx, prove that I, = nx"- sin x -x" cosx-n(n-1)I, 2. Hence,
%3D
n-2·
evaluate 1, .
d
- (tan'x)= 3 sec*x- 3sec'x.
dx
Show that
Hence evaluate sec* x dx.
%3D
Transcribed Image Text:If I, = |x" sin x dx, prove that I, = nx"- sin x -x" cosx-n(n-1)I, 2. Hence, %3D n-2· evaluate 1, . d - (tan'x)= 3 sec*x- 3sec'x. dx Show that Hence evaluate sec* x dx. %3D
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