1. (1 point) Evaluate the integral using the FTC 1 Answer(s) submitted: (incorrect) 2. (1 point) Calculate the derivative: Answer(s) submitted. (incorrect) 3. (1 point) Find area of the region u 3x3-...
1. (2 points) Evaluate the integral below. Use a capital letter C to denote an arbitrary constant. 2x+4 512x+1)(2-1) dx Answer(s) submitted: • 21n (abs (x-1))-ln (abs (2x-1)) +C (incorrect) 2. (2 points) Evaluate the definite integral. r3 - 2x + 5 dx= x² – 3x+2 Answer(s) submitted: (incorrect) 3. (2 points) Evaluate the definite integral. 3y2 – 3y +6 y(y + 1)(y-3) Answer(s) submitted: Si y07136+3 dy = Generated by © Web Work, http://webwork.maa.org. Mathematical Association of America
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...
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
Need ONLY 2-3 with work shown Directions: In each problem (1)-(5), write a definite integral of a single variable. For problems marked [FTC], use the Fundamental Theorem of Calculus to evaluate the definite integral. Use a calculator utility for problems marked [Calculator Active]. Show intermediate steps, and box in your final result. « Submit a single team set of solutions on the answer sheets provided.» > (0) Region R is bounded by the curve y -x and the line y...
1 point) Book Problem 1 (x) x5 x-5 g(x> 0.8a2 8 Set up an integral to find the area A of the region enclosed between f(x) and g(x) -5 to x = 5, and then evaluate it. = x from T= da A - (1 point) Book Problem 39 The base of a certain solid is an elliptical region with boundary curve 4x2 25y2 100. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. A(x)...
I want to know when to use shell method and when to use washer method. and how to evaluate the improper integral. 1. Consider the region bounded by the graphs of f(x)-21 and g(x) 3-x2. 1.(a). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral. 24a). (I point) Is the integral dx an improper integral? 2.a). (1 point) Is the integral dx an...
Question 10 Set up the definite integral and evaluate the definite integral to determine the area of the shaded region. Show all work and provide your response in the box below. The curve is given by f(x)= x3 + 2x2 - 5x+3. If you cannot view the image below, please click on this link. HHHHHH HHHHHHH 5+ HH HHHHH HHH -7 -6 -5 -4 -3 -2 -1 0
Q1) Q2) X Incorrect. Find the area of the region between y = – x2 + 4x – 3 and the x-axis, 0 < x < 2. Round your answer to three decimal places. 0.667 The figure below shows the standard normal distribution from statistics, which is given by 1 vai V27 Statistics books often contain tables such as the following, which show the area under the curve from 0 to b for various values of b. Area = The...
Find each integral. 3/4 3. ſ12cos 2x dx 4. x cosxdx 0 5. Find the area under the curve y = sin’xcos x and above the x-axis from x = 0 to x = 1/2. [Hint: Use substitution to evaluate the integral representing the area.] she courseHero.com 70.5 This y resource waren 1/3 TT/2
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...