3 (e) none of the above rb 16. What does f()dx represent? J a (a) f(b) - f(a) (b) Area under f'(x) on a, b (c) Definite integral of f() on [a, b (d) all of the above (e) none of the above 3...
Calculate the definite integral by referring to the figure with the indicated areas, 0 f(x)dx Area A = 1.565 Area B = 2.469 Area C = 5.421 Area D = 1.711 f(x)dx= 0) 6 of 32 (1 complete)
b Area A = 1,314 Calculate the definite integral (rix) dx by referring to the figure on the right with the indicated areas. Area B = 2,436 Area C = 3,062 b d X a В Area D = 1,756 b (fix) dx =D d (Simplify your answer.)
QUESTION 1 To compute the area below the curve f(x), above the x-axis, from x a to x-b, choose all correct answers The definite integral, f(x)dx, can be used to compute the area if f(x) 20 on the interval (a,b). The definite integral, f(x)dx, can be used to compute the area if f(x) > 0 on the interval [a,b]. The region was broken up into n rectangles and the sum of the areas of the rectangles was computed as n...
Calculate the definite integral by referring to the figure with the indicated areas. 0 b d f(x)dx a B. с Area A= 1.387 Area C= 5.657 Area D = 1.736 Area B = 2.272 0 f(x)dx= с
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
Use a definite integral to find the area under the curve between the given x-values. f(x) = 8 – 47 x from x=0 to x = 8 square units
5. (Read first the files 19C_Integral calculus pgl.JPEG, 20C Integral calculus_stud.doc, 21C HW_9a ans.doc, 22C HW 9 stud ans.doc (with a calculator in hands) and try to reproduce all results.) Evaluate the area under the parabola representing a function f(x) = 2*N-x2 above the horizontal x-axis via the definite integral Area - J f(x)dx The parabola in question opens downward. It intersects the horizontal x-axis at two points a and b which serve as the lower and upper limits of...
2. E F Given the graph above find the following net area: a. Së f(x) dx b. Së f(x) dx c. Sc2f(x) dx d. Sº if(x) dx e. Sflf (x)]dx f. Si f(x) dx
1. Calculate the definite integral 1 (229-33 +5) de (a) Find an antiderivative F(x)= (b) Evaluate F(2) F(2) = (c) Evaluate F(1) F(1) = (d) Calculate the definite integral 3x + 5) dx = 2. Calculate the definite integral. Give exact answers. Зе -Te du (a) Find an antiderivative F(*) = (b) Evaluate F(0) F(0) (c) Evaluate F(-1) F(-1) = (d) Calculate the definite integral.
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) =...