Question

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

Answer 1

I mean find
lim x-->0 {sin0 +sindx +sin2dx +sin3dx +...+sin(ndx)/(n+1)}
where ndx=90

Answer 2

mean value theorem for integrals?

Answer 3

No not mean value theorem...
Here I just want to find the avereage value

Answer 4

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)}