sauravshakya
y=sinx
find the average value of y in the interval 0 to 90



This Question is Closed

sauravshakya
Best Response
You've already chosen the best response.
0
I mean find
lim x>0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(n+1)}
where ndx=90

sirm3d
Best Response
You've already chosen the best response.
0
mean value theorem for integrals?

sauravshakya
Best Response
You've already chosen the best response.
0
No not mean value theorem...
Here I just want to find the avereage value

sauravshakya
Best Response
You've already chosen the best response.
0
ndx=90
n=90/dx
Now,
lim x>0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(n+1)}
lim x>0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(90/dx +1)}
lim x>0 {(sin0 +sindx +sin2dx +sin3dx +...+sin(ndx))dx/(90+dx)}
dw:1359042392858:dw

sauravshakya
Best Response
You've already chosen the best response.
0
Now, from there I will get 1/90
Which surely not CORRECT

sauravshakya
Best Response
You've already chosen the best response.
0
Now, If I do ndx =pi/2 then I will get 2/pi

sauravshakya
Best Response
You've already chosen the best response.
0
@experimentX can u PLZ help

experimentX
Best Response
You've already chosen the best response.
2
this should be close to zero.dw:1359042684509:dw

shubhamsrg
Best Response
You've already chosen the best response.
0
Well 90 is degree, you surely can't use that in these calculations ? pi/2 is appropiate.

experimentX
Best Response
You've already chosen the best response.
2
hmm ... is 90 really degree?

sauravshakya
Best Response
You've already chosen the best response.
0
And yes that was what I was going to ask...
Why does it matter

experimentX
Best Response
You've already chosen the best response.
2
degree is just a notation made for the sake of ease ... radian is the actual value.

experimentX
Best Response
You've already chosen the best response.
2
you might have noted
lim x>0 sin(x)/x = 1 or ... as approx .. when 'x' is very small, sin(x) ~ x ... this never works for degree ... it sounds funny.

sauravshakya
Best Response
You've already chosen the best response.
0
So actually sin(pi/2 radian) =1

sauravshakya
Best Response
You've already chosen the best response.
0
And we supposed pi/2 radian =90 degree

experimentX
Best Response
You've already chosen the best response.
2
yes!! radian is more natural measure of angles.

sauravshakya
Best Response
You've already chosen the best response.
0
So, is the correct answer 2/pi

experimentX
Best Response
You've already chosen the best response.
2
yep!!

experimentX
Best Response
You've already chosen the best response.
2
compare these with the area bound by the curves with x axis an 0 and pi/2

sauravshakya
Best Response
You've already chosen the best response.
0
thanx again

experimentX
Best Response
You've already chosen the best response.
2
yw