The graph of Fis shown. Evaluate each Integral by interpreting it in terms of area y...
The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.(a) \(\int_{0}^{10} f(x) d x\)(b) \(\int_{0}^{25} f(x) d x\)(c) \(\int_{25}^{35} f(x) d x\)(d) \(\int_{0}^{45} f(x) d x\)
The graph off is shown. Evaluate each integral by interpreting it in terms of areas.
EXAMPLE 4 Evaluate the following integrals by interpreting each in terms of areas. (a) y=V25-2 lov ✓ 25 - 2 dx or 10 + y = 25 (x - 3) dx SOLUTION (a) Since Rx) = V25 - x2 > 0, we can interpret this integral the area under the curve y = 25 - X2 from 0 to But we get x2 + y2 = 25, which shows that the graph of ris a quarter-circle with radius in the...
The graph of f is shown for parts a, b, and c. Evaluate each integral by interpreting it as a net area. 1 0 0 11 (a) o )da (b) 3f()dar (c) 4 -4f()dr Be careful with negative signs for this one! (d) Express the following limit as a definite integral on the interval [3, 8. (Do not evaluate) iin (e) Express the integral as a limit of Riemann sums (using right endpoints). (Do not evaluate The graph of f...
Use the form of the definition of the integral given in the theorem to evaluate the integral. | Previous Answers SCalcET8 5.2.026. Ask Your Teacher 6. 2/4 points My Notes (a) Find an approximation to the integral (x24x) dx using a Riemann sum with right endpoints andn 8. R8 -10.5 n lim> 'f(x;) Ax, where Ax = -and x a + i Ax. Use this to evaluate (b) If f is integrable on [a, b], then f(x) dx (x2-4x) dx...
Problem 7. (10 points) The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. . $*r«wdx = 0 21*rdx = 0 3. ["sdx = 0 a. °rwdx = 0
can i get answer for all thses questions pllllleeeease Evaluate the double integral by first identifying it as the volume of a solid. STS- (7 - x) DA, R = {(x,y) 10 sxs 7,0 y s 6} 144 x Need Help? Read It Talk to a Tutor Calculate the iterated integral. 12 Sex + 3y dx dy 4397. 107 Х Need Help? Read It Talk to a Tutor 6. [-/1 Points) DETAILS SESSCALCET2 12.1.035. MY NOTES Find the volume of...
(5 points) Evaluate the definite integral by interpreting it in terms of signed area. 2x – 8 dx = Suggestion: Draw a picture of the region whose signed area is represented by the integral. Then find the signed area using formulas from high school geometry.
Evaluate the indefinite integral. (Use C for the constant of integration.) (3 - 4x) dx fo Need Help? Read It Watch It Talk to a Tutor 8. [-/1 Points] DETAILS SCALCET8 5.5.010. Evaluate the indefinite integral. (Use C for the constant of integration.) I since sin(t)/1 + cos(t) dt Need Help? Read Talk to Tutor 9. [-/1 Points) DETAILS SCALCET8 5.5.013.MI. Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx...
Use the values f(x) dx = 9 and • 5*ox g(x) dx = 6 to evaluate the definite integral. Dar 1920 (a) -8 29(x) dx (b) f(x) dx f(x) dx (0) Stra) – P2 [f(x)-f(x)] dx Need Help? Read it Watch It Talk to a Tutor