Express the limit lim Σ (2 sin² (2πæ;*) +5) Aæ; over [1, 8] as an integral. n→ [infinity] i=1
Provide a, b and f(x) in the expression ∫_a^b▒〖f(x)dx〗f(x)
a = 1 0, b = 8 [infinity], f(x) =
Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫_0^10▒|8x-6|dx
Find the average value fave of f(x) = x7 between -1 and 1, then find a number c in [-1,1] where f(c) = fave.
fave =
C =