Sum) 3. Find the integral of g(x)=2x4-1 on (-2,4). (Hint: Use area concept.) Lebe of 2...
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
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between -1 and any given value of x 3 2 g(x) 1.5 1.5 05 -1 This area is defined by the function h(x)=/g(t)dt for-1-xs1.5 Make a neat hand-drawn sketch of h(x) over the interval-1-x 1 .5 . a. b. Clearly...
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between -1 and any given value of x 3 2 g(x) 1.5 1.5 05 -1 This area is defined by the function h(x)=/g(t)dt for-1-xs1.5 Make a neat hand-drawn sketch of h(x) over the interval-1-x 1 .5 . a. b. Clearly...
Use an iterated integral to find the area of the region. 5. -/3 POINTS LARCALC11 14.1.034. Use an iterated integral to find the area of the region. dy dx = dy dx = 1 2 3 4 5
17. Given the function f(x) = x2 + 3: Use the Riemann sum and the limit definition to find the area between f(x), the x-axis, x = -1 and x = 3. (Each part is worth 2 points) a. What is Ax? b. What is f(c)? C. Set up the limit that you would take to find the area. Do not find the area. d. Set up a definite integral that solves the problem.
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. -1/2 f(x) = x O A. 2 OB. 1 2 O C. 1 4 OD. 4
2014 Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval f(x)=3* 2(-3,4 The area between the x-axis and f(x) is (Do not round until the final answer. Then round to three decimal places as needed.) 2 of 2
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)...
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval Check first to see if the graph crosses the x-axis in the given interval f(x) = 40"-3;[-4,5) The area between the x-axis and f(x) is (Do not round until the final answer. Then round to three decimal places as needed.)
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...