2. E F Given the graph above find the following net area: a. Së f(x) dx...
Question 1 1 pts If f(x)dx = 10 and Să f(x) = 3.6, find si f(x)dx. 6.4 Question 2 1 pts Let Só f(x)dx = 6, Sº f(x)dx = -4, So g(x)dx = 12, S g(x)dx = 9 Use these values to evaluate the given definite integral: Si (35(x) + 2g(x))dx —
Given that , Jº f (x) dx = 15 and , S | (r) dx = 9 where a <b<c Determine the following 1. a Sº f (x) dx = 2. Sº 3f (x) di = 3. Sº f (I) du = 4.. S f(x) dx =
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 (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...
8. Given the graph of the function f, use area to compute f(x) dx. y y= f() 3 2 1 2 -1 4 ce
7.) If S*f(x)dx = 22 and S, f(x)dx = -14, find the following and clearly show how you arrived at your a. Sº f(x)dx b. 838(x)dx answer
6. Find the exact value of ,* f'(x) dx, if the graph of f(x) is given below. 6 5 3 3 2 1 0 2 3 4 5 6 7 8 9
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) =...
✓ Saved Question 2 (1 point) Given that S3'! f(x) dx = 7, Si f(x) dx = -2, and S31 g(x) dx = 4, which of the following integrals cannot be found? O S3+ f(x) · g(x) dx PS3? (f(x) + g(x)) dx O Si (f(x) + g(x)) dx ° 835 f(x) dx
3.Consider the following function where a is a positive constant exp(x / a) x<0 f(x) exp(-x/a) r >0 (a) Compute the area bounded by f(x) and the x-axis. Graph f(x) against x for a 2 and a 0.5. (b) Find the Fourier transform F(o) of f(x) (c) Graph F(o) against ω for the same two values of a mentioned (d)Explain what happens to f(x) and F(o) when a tends to zero. F(o) f(x)exp(-icox)dx 3.Consider the following function where a is...
19. Given the graph of f(x) below. Find the area between f(x) and the x-axis on ](-2, 8]then determine if the area is equivalent to the definite integral over that same region? Area = a. b. Is the area equivalent to the definite integral? If not, determine the definite integral of the function from (-2, 8]. -2