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Grade: 11

                        

∫log(sinx)dx=?

5 years ago

Answers : (4)

ng29
1698 Points
							
in my opinion it must be definite integration
with proper limits that may be u missed
bcoz indefinite integration of this function is not possible in my opinion
 
APPROVE IF USEFUL
5 years ago
grenade
2061 Points
							
@ng29
its wrong
we can solve this problem but it would be quite difficult
5 years ago
grenade
2061 Points
							
first of al we have to convert the log terms in to the form of   ln
the we will use substitution
let
ln(sinx)=t.................1
therefore tanx.dx=dt...............2
from the first equation we can get the value of sinx in therms of t as if
 
sinx=et
 
now get the value of tanx in terms of t
please find out
let the valuse of tanx in terms of t be u.t
 
then 
come bck to the original question
 
it would be something like
 
t.dx
 
now substitute the value of dx from equation.2 completely in terms of t
 
the then integrate to get the answer
 
plz aprve
5 years ago
grenade
2061 Points
							
 
t.dx
@ it would be a multiple of 2.303
pl don’t forget
and then solve for the final answer
5 years ago
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