valuate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the tegral represents, and find the area using geometry. |6x – 2|dr

Q: Find the function f(x) described by the given initial value problem. f"(x) = 3 sin x, f'æ) = 3, f(1)…

A: The objective is to find f(x), find the area of the region encloses by the parabola and the x-axis.

Q: Find the larger area formed by x² + 3y² + 7x = 3 and 2x² – 6y = 5.

A: Integration of function expression under certain limits give the value of area between function…

Q: Find the area of the white space around the triangle Your answer should be in terms of x. Do not…

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Q: Find the area of the region between the curves y = 3x² - 3 and y = -2x2 + 2. The area is !3D…

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Q: Find the area of the region in the 2nd quadrant which is bounded by the parabola y = x² + 1 and the…

A: Given:1. The parabola equation: .2. The line equation: To find:The area of the region in the 2nd…

Q: Find the area of the region enclosed by the parabola y = 8x – x² and the x-axis.

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Q: Find the area of the region R bounded by y = 3√x and y = x, in the first quadrant. Sketch the graph…

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Q: Calculate the area of the shaded region if r=2m

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Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

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Q: Find the area that is enclosed by the following lines: y=2x-x^2+3 y=x^2-4x+3 Draw the figure and…

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Q: Evaluate the integral 3x+2 dx by interpreting it in terms of areas. Draw the graph and shade the…

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