Express the integral as a limit of Riemann sums?
#\int_{4}^{12}[\ln(1+x^2)-\sin(x)]dx#
Do not evaluate the limit.
Please don't use anything above Calculus I level.
Do not evaluate the limit.
Please don't use anything above Calculus I level.
1 Answer
Here is a limit definition of the definite integral. (I'd guess it's the one you are using.)
.
Where, for each positive integer
And for
Let's go one small step at a time.
Find
For each
Find
And
Find
# = lim_(nrarroo)sum_(i=1)^n [ (ln(1+(4+(8i)/n)^2)-sin(4+(8i)/n))8/n]# .
Expand/simplify