Sketch the region enclosed by y=4x and y=3x^2. Find the area.  Im having trouble showing my work to get the bounds of integration.

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Q: Find the area of the region bounded by y = 10x , y = -9x, y = 4 and y = -8 using double integral.…

A: Explanation of the answer is as follows

Q: By integration, determine the area bounded by the curves y = 6x – x ^2and y = x^2 – 2x.

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Q: sketch the region of integration, reverse the integral and evaluate 4-x 2 23 4-9

A: Consider the provided question,

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Q: sketch the region of integration and write anequivalent double integral with the order of…

A: Consider the given integral. I=∫01∫1-x1-x2dydx The functions are defined as. 0≤x≤11-x≤y≤1-x2

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Q: What is the area bounded by the curves y2= 6x and x2 = 6y?

A: topic - area bounded by curves

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A: Area of the required region is 3/4 see below the calculation

Q: 7-3y 2 12y-3y² S²6² dxdy

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Find the area bounded by y = 3x² - 3 and y = 3. Leave your answer %3D correct to 2 decimal places.

A: Given  y = 3x2  -3  and y = 3 To find : Area bounded.

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Q: Find the area of the region bounded by y = 3x + 10, y = -4x + 1 and x = 12. Leave your answer…

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Q: Sketch the region whose area is given by the iterated integral 2 4-x2 || dydx and calculate it. Then…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sketch the region of integration for the double integral given by 1 to e, logx to 1 dy dx and change…

A: Consider the provided question, According to the question the double integral is given as, The…

Q: sketch the region of integration and evaluate the integral.

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Q: Shade the area of the region bounded by the specified region using integration,

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Q: Find the area of the region bounded by y = 10x , y = -9x and y = 4 using double integral. Leave your…

A: Let's find.

Q: Find the area of the region bounded by the given curves. y = 9x2 ln(x),  y = 36 ln(x)

A: First of all, consider the given equations and assume them as f (x) and g (x). Equate f (x) = g (x)…

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Q: Find the area of the region bounded by y = 4x + 9, y = -6x + 9 and x = 14. Leave your answer correct…

A: Area of region bounded by given curves are evaluated.

Q: Sx√x +Tdx

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Q: Find the area of region enclosed by the curves. Hint: using integration y=lx²-4l and y=(x²/9)+4

A: The area under the curve: - Three easy procedures are often accustomed to figure the realm…

Q: Find the area of the region by bounded by y = 4x and y = 2x – 4 by integrating with respect to y.…

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Q: Find the area of the region bounded by the curves y = 2x°, y = 5x + 6, x = 0. Set up the integral(s)…

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Q: Sketch the region of integration for the double integral given by ∫20 ∫1ex dydx and change its order…

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Q: Find the area of the region bounded by x 2y and y=2-- %3D

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Q: Use double integration to calculate the area of the region 2 encolsed ye and x+y=2.

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Q: Sketch the region of integration and evaluate the integral of :

A: To evaluate and sketch the region of integration of, ∫03∫024-y2dydx

Q: y = x²and y = x4

A: From the given curve bounded region is shown below:         Now finding the point of intersection:…

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Q: Sketch the region corresponding to the double integral 1+√3 1-y² √ dx dy and reverse the order of…

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Q: By integration, determine the area bounded by the curves y = 6x – x2 and y = x2 – 2x.

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Q: valuate the double integral by reversing the order of integration dzdy

A: The question is taken from the calculus in which we have to find the double integral of given…

Q: Find the area of the region bounded by y = 7x + 7, y = -9x + 4 and x = 15. Leave your answer correct…

A: The solution of the problem is given in the next steps.

Q: Find the area bounded by the curves, 2x² + 4x + y =0 and y = 2x.

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Q: Find the area of the region enclosed by the curve y = 4x – x² and the line y = x using double…

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Q: Find the area bounded by the curve or line: 4y = x2-2lnx, y=0, x=1, x=4

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Q: Find the area of the region bounded by y = 4x + 6, y = -3x +1 and x = 15. Leave your answer correct…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.