Use geometry (not Riemann suma) to evaluate the definite integral Sketch the graph of the integrand,...
Use geometry (not Riemann sums) to evaluate the definito integral. Sketch the graph of the integrand, show the region in question, and interpret your result. (3x+6)dx Choose the correct graph below. ОА. ОВ. OC. OD. -10-11 The value of the definite integral (3x + 6)dx as determined by the area under the graph of the integrand is (Type an integer or a decimal.)
following integral using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found , 6-3. 1/2 1/2 Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the integrand and shade the region whose net area you have found. 2x-3)dx = following integral using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found...
19. Illustrate the following definite integral by sketching a graph of the integrand and shading the region in question. Then use an appropriate formula from geometry to find the exact value of the following integral. L 116 16-r2 dx
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n-4 c. Use the sketch in part (a) to show which intervals of [a,b] make positive and negative contributions to the net area. (4 pts Use geometry (not Riemann sums) to evaluate the following definite integrals Sketch a graph of...
Use a definite Integral to find the area of the following region bounded by the given curve, the x-axis, and the given lines in each case, first sketch the region. Watch out for areas of regions that are below the x-axis yox?x-2.x=1 Choose the correct graph below. OA Oc OD OB 5 The total area of the region is (Type an integer or a fraction
6. Graph the integrand and use areas to evaluate the integral. Find the domain of the integrand ſ(3+v1- x?)dx
To evaluate the following integral carry out these steps Sketch the original region of integration in the plane and the new regions in the plane using the given change of variables b. Find the limits of integration for the new integral with respect to and Compute the Jacobian d. Change variables and evaluate the new integral sexy-2- S23, where = {x} Os 105x2 - y2- a. Sketch the original region of integration in the wy plane Choose the comed graph...
(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.
Sketch the given region of integration and evaluate the integral over Rusing polar coordinates Sle**** da: R=(x? #y? 54% R Sketch the given region of integration R. Choose the correct graph below. OA OB Oc OD 55 - A- R (Type an exact answer
Sketch the region whose area is given by the definite integral. V4-2 dx OLX 1 2 -2 -1 2 .-2 -1 1 2 6-2 2 -1 Then use a geometric formula to evaluate the integral (a > 0, r>0).