Find the area of each piece of the graph after sectioning off between x values. The Definite Integral as Area

Q: h b

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Q: Find the area between the graph of the given function and the x-axis over the given interval, if…

A: ∫x1+x22 dx Put  1+x2=t⇒0+2x=dtdx⇒2x dx=dt⇒x dx=dt2 Therefore, ∫x1+x22 dx=∫dt2t2=12∫t-2…

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. 30x 8x)dx

A: We will use standard result to solve this

Q: 5 Find the area under the curve y over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area =

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A: Given ,  f(x) = 2/x ; [1, e2]  We have to use the definite integral to find the area between the x -…

Q: Find the area between the x-axis and the function y = x2 - x - 2 over the interval [-1,4]. Round to…

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Q: The shaded area under the standard curve shown 0.3015. Determine z

A: Note: This probability value calculated from standard normal distribution table

Q: Using a definite integral, show that the area of a circle of radius r is ar².

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

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Q: Find the area bounded by the curve aʻy = x³ the x- axis, and the line x=2a. Solve with respect to y.

A: Given: a2y=x3

Q: S (9- x) dx

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Q: Evaluate the integral. (Remember to use absolute values where appr S. 2 49 + x* dx

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Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.425…

A: Given figure is   where  Area A=1.425Area B=2.56Area C=5.843Area D=1.764

Q: Find the area between the curves of the following functions. First graph, then find the area. The…

A: Given, The curves are, y=x3 and y=9x.

Q: Given the function, find the area between the graph of the function, the x axis over the interval…

A: Just integrate this function from 1 to 4.

Q: Use a change of variables or the table to evaluate the following indefinite integral. + 5) Vxdx

A: firstly let (x)1/2 =t and then find the value of dx in terms of 't' . and substitute all these…

Q: x3 Sketch and find the area bounded by the graphs of y = x and y =

A: The area bounded by the given two curves is symmetric about Y-axis.

Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.567…

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Q: Find the integral by using the integral table on the inside back cover. (Remember to use absolute…

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Q: y = Vx + 3 from x=1 to x=4

A: We find the area under given curve and bounded by axis and given lines x=1 & x=4 using definite…

Q: y = x* and y = x

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Q: Determine the sign of the integral without calculating it. Draw a graph if necessary.

A: Given: ∫02πsinxxdx We draw the graph of the given function as,

Q: Find the indefinite integral. Include a multiplication sign between functions. For example, z · e?.…

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Q: Evaluate the integral by interpreting it in terms of areas (graph it and look for familiar shapes).…

A: To Evaluate the integral  I = ∫-2412x-1dx

Q: Find the area of each piece of the graph after sectioning off between x values. The Definite…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Find the area represented by the definite integral. 13 |x- 10| dx

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use dx x(In(x?))5

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Q: Find the​ t-value such that the area in the right tail is 0.025 with 19 degrees of freedom.

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Q: Find the area under the curve of the parabola y = x? - 2x + 2, above the x-axis and between x=0 and…

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Q: Evaluate the integral cot5 x cosec³x dx

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: By first sketching the graph, find the area bounded by the graph of IT the the x- axis,the y- axis…

A: Sketch of the graph. The green line represent y=0, (x-axis) The blue line represent x=0. (y- axis)…

Q: Find the area of the shaded region. (Round your answer to two decimal places

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Q: Use a graphing calculator to approximate the area between the graphs of y = In x and y = 9x e* on…

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Q: Could I get help with the areas of A-D please?

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Q: Find the t-value such that the area left of the t-value is 0.025 with 17 degrees of freedom.

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Q: Determine the sign of the integral without calculating it. Draw a graph if necessary.

A: The figure below shows the graph of the function that is to be integrated.

Q: Evaluate the integral. (Remember to use absolute values wher 5x4 – 2 dx J x5 - 2х — 16

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Q: 0.4 ソミーxe"* -1 -0.5 1.5 --0.2 -0.4 21

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Q: Find the area represented by the definite integral. 12 |x-11| dx

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Q: Write a definite integral that represents the area of the region. f(x) = tan x

A: To Determine: Write a definite integral that represents the area of the region. f(x) = tan x Given:…

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

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Q: The integrand of the definite integral as attached is a difference of two functions. Sketch the…

A: Given that: The integral is ∫04 (x+1)-x2dx .

Q: Use the definite integral to find the area of the shaded řegion.

A: as we can see here the shaded region is bounded by the curve f1x=x2-2 f2x=x f3x=0 and here…

Q: Find the area enclosed by the given curve and the y-axis.x = t2 − 3ty = square root of t

A: From y=sqrt(t) find t=y^2Then plug it in x=t^2-3tSo the curve is: x=y^4-3y^2

Q: Find the area between the curve and the x-axis over the indicated interval. y = 6 x 10 [1, 10] The…

A: See this solution in below

Q: Find the indefinite integral 5. ∫ −csc x cot x / √(25 − csc2x) dx

A: It is given that,∫-csc x cot x25-csc2x dx We have to find the indefinite integral.

Q: Find the area under the curve for x2 + 2 dx. Sketch the graph, shading the desired area under the…

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Q: Find the indefinite integral . ∫csc x cot x dx

A: Consider  I=∫csc x cot xdx let  csc x= t Thus csc x cot x dx =dt

Q: Use a graphing calculator to approximate the area between the graphs of y = In x and y = 4x e on the…

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