If m s rr) M foro x S b, where m is the at salute minimum and M s the absolute moximum at fan the...
If m s f(x) < M for a sxs b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b-a) LA f(x) dx = M(b - a). Use this property to estimate the value of the integral. 16 "5 8/x dx 21 (smaller value) 28 (larger value)
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ M(b − a). Use this property to estimate the value of the integral.
Suppose f has absolute minimum value m and absolute maximum value M. Between wh 4m (smaller value) 4M (larger value) Which property of integrals allows you to make your conclusion? If f(x) > 0 for a < x <b, then f(x) dx > 0. • [ºrx) dx = -1°rx) dx o [*rex) dx + 1°rex) dx = [° rcx) dx fb If m s f(x) S M for a sxs b, then mb - a) si f(x) dx = M(b...
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.)...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...