Question# ( 2} Set up the integral that gives the surface area of the solid formed when the region bounded by f (x)=x² for 0

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 07 s.u. 9 9 s.u. 01 S.U. 2 S.U.

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Q: y=x² (-2,4) 0 (1,6) (2,4) 3y = 2x + 16 y=-2x+8 X

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Q: The area of the region bounded by the graphs of y = sinx, y = x+1, and the y - axis is 01+ ³…

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Q: Find the area of the region bounded by y = 2x2 + 10, y = 4x + 16, x = -3 and x = 4.

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Q: A body T with the parameters  (1/2)(sqrt(x^2)+(y^2))≤z≤sqrt(16-(x^2)-(y^2) Use the sphere…

A: The given problem is to find the volume of the body formed by the cone and spherical region, we have…

Q: レー2 (v–1)(2v – 1², *"

A: Note: since you have posted 2 different questions. Here we are solving the first question, For the…

Q: Q5// Sketch and Find the area of the region enclosed by y = √√x and y = ³√√x.

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Q: Write a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the…

A: The line integral of  function F along with curve C is defined as  ∫CF·dr=∫C(M,N)·(dx,dy)=∫CM dx+ N…

Q: The area D is the area in the XY-plane bounded by the X-axis, Y-axis, and the 4x + line 5y = 0.…

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Q: ·bounded by x² + 2y = 4 and and determine: Sketch the area x+y+2=0

A: 1st we will find point of intersection of lines and curve to identify bounded region . Then will…

Q: enclosed

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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.