Given the graph of the function f(x) below, approximate the area under the curve over the interval [1, 6] using a trapezoidal approximation with 5 trapezoids. Submit an exact answer.
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Given the graph of the function f(x) below, approximate the area under the curve over the interval [1, 6] using a trapezoidal approximation with 5 trapezoids. Submit an exact answer.
![Given the graph of the function f(x) below, approximate the area under the curve over the interval [1, 6] using a trapezoidal approximation with 5 trapezoids. Submit an exact answer.](https://www.doubtrix.com/uploads/editor/1415006181kkWPbfsALk.png)
![Use the trapezoidal rule to approximate the area under the curve f(x) = 3x^2/x+2 on the interval [0, 4]. Use n = 4. Submit an exact answer.](https://www.doubtrix.com/uploads/editor/4671945926OciIYlsdXV.png)
![Let R be the region bounded above by the graph of the function f(x) = 7x + 2 and below by the x-axis over the interval [1, 6]. Find the total mass of the lamina given it has uniform density ρ = 3. Enter answer using exact value.](https://www.doubtrix.com/uploads/editor/1110332346qREDFXQjyN.png)
![The graph of a function is shown below as a blue curve. Create a visualization of a midpoint approximation for the area under the curve on the interval [1, 7] using 5 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes.](https://www.doubtrix.com/uploads/editor/1840086033UeOMqaOxeM.jpg)
![The graph of a function is shown below as a blue curve. Create a visualization of a midpoint approximation for the area under the curve on the interval [1, 7] using 5 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes.](https://www.doubtrix.com/uploads/editor/6931480836cfjlcioVdi.jpg)