Use finite approximation to estimate the area under the graph of f(x) = 2x³ and above the graph of f(x) = 0 from xo =1 to xn=3 using

Q: Use left rectangles and delta x=0.5 to approximate the area under f(x)=2xsquared+6 from x=2 to x=4.…

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Q: What is the indefininte intregal of Tan^-1(3x) / 1+9x^2 .

A: The given indefinite integral is

Q: Find the area under the graph of y=1/49+x^2 to right of x=0

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Q: Show proofs of Archimedes theorem that the area of a circle = pir^2

A: Archimedes theorem states that the area of a circle is equal to the area of a triangle whose base is…

Q: Explain how to compute the area between the curve y=x^3-x^2-3x+3 and the x-axis from the values x=-2…

A: Let's draw the curves : Red shows curve of x3-x2-3x+3 .Blue shows curve of x =-2 .Green shows curve…

Q: Find the area under the graph of y = 1/x^2for x ≥ 2.

A: The equation for the curve is y=1x2Area under the graph of y=1x2 for x≥2 is A=∫2∞1x2dx   =limc-∞…

Q: 3. (a) Estimate the area under the graph of f(x) 1/x from x=I to x 2 using four approximating…

A: We will divide whole interval into 4 sub part and draw rectangle in each subpart depending on method…

Q: Find the area between y=6x^5 and x-axisbfrom x=-1 to x=1

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Q: What is the area under the curve of the following positive function y = 10x4 + 3x² between x = -1…

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Q: Evaluate the integrals

A: Given, I=∫xdx1+x put y=x dy=12xdx2ydy=dx put values in equation I=2∫y2ydy1+y=2∫y3dy1+y by simple…

Q: Use finite approximations to estimate the area under the graph of the function f(x)=3−x2−2x between…

A: The Given function is, f(x)=3-x2-2x  Between x=-3 and x=1 Here we have to find the area under the…

Q: y = -x^2 + 4x + 3, y = -x^3 + 7x^2 - 10x + 5, x = 1, x=2* 4.083 sq. units ○ 4.183 sq. units O 4.283…

A: We know that the area between the curves can be evaluated by double integration method. We will find…

Q: Approximate the area bounded by the graph of Ax) = -x² + 9, the x-axis, and the vertical lines and…

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Q: -Tt /12 SK1 tan* (3x) dx

A: We have to compute the integral  . First, consider the integral . We can write it as:

Q: Find the area under the graph of y = g(x) from -3 to 6, where x², x 2

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Q: find integal x over square root 4+x dx by any method.

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Q: Find the area under the graph of y = (x + 1)^-2for x ≥ 0.

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Q: What is the area under the curve for f(x) = 3x2 +5 between x=1 and x=10?

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Q: In the last part, wouldn't the range be calculated by the integral change due to the two…

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Q: Use Numerical Sums to estimate the area A = letermined by right endpoints. Use a calculator and…

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