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How to integrate [sinx + 4x/π] from 3π/4 to π where [•] denotes greatest integer function can you explain integration of some other step functions exponential and logarithmic type


  1. How to integrate [sinx + 4x/π] from 3π/4 to π where [•] denotes greatest integer function

  2. can you explain integration of some other step functions exponential and logarithmic type

Grade:

1 Answers

jitender lakhanpal
62 Points
7 years ago

hi

the value of sinx + 4x/π will lie b/w 3.707 to 4 for x =3pie/4 and pie respectively

as it is a integer function so the value of the expression[sinx + 4x/π] will be 3 and 4

for integer function we have to break the limits in two part

x = 3pie /4 to pie - h    and pie - h to pie   where h tends to 0

for first limit expression will be 3  and for second limit it would be 4

 

2)in step function you have to divide the limits which gives you different values of functions

logarithmic function some times you use integration by parts and some time other integration methodsdepends on the question


 

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