evaluate the mtegral ntearal In (Vx) dx

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Q: The integral S dydx represents what?

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A: Consider the integration as

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A: Given :∫14-x22dx

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the integral -7…

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Q: If we know the pdf of of the Fandom variable, then we can find the exact area by using

A: we can find the cdf if we are provided with the pdf we can integrate he pdf over the range whose cdf…

Q: VaS+2

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Q: O Evaluate

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 20 integral…

A: Error bound for Trapezoidal rule: Error in Tn ≤M(b-a)312n2, where M is the maximum value of |f''(x)|…

Q: Suppose we estimate x2 dx with the Midpoint Rule M2. Let Aj and Az be the areas of the 1st and 2nd…

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Q: Find the area of the following lines using integration.

A: This equation should be simplified to proceed, we will use polar coordinates to transform this curve…

Q: Evaluate the integral.

A: We have ∫exxdx.....1

Q: Find the area under the given function using integration

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Q: Evaluate the integral. dx :- X>8 x2Vx² -64 S- xp x²Vx² - 64 %3D

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Q: Sx"dx

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Q: dx Ied x+l

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Q: sec =zydy

A: Given

Q: Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

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Q: Evaluate the fellowing de firite integrils (*+) dx (१)

A: using these formula for solving the given integral

Q: the inde Integrai. dx Vx -8

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Q: dydr

A: Given, I=∫12∫x221y2·exydydx

Q: Use the Midpoint Rule to evaluate the integral Sx-dx.

A: Midpoint rule:Let f(x) is a polynomial of degree ⩽n-1Let the midpoint x1=a+b2 and…

Q: Evaluate the integral. Ydy

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Q: Evaluate the integral: dx J 2xv9x2 - 4

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Q: Lex+3y dxdy

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Q: Evaluate the iterated integral: dydx.

A: Definition used -                                                                       Where…

Q: Evaluate the integral: dx J 3xv4x² – 9

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Q: How do I find the area between two points on a standard curve?

A: Consider the two points on a standard curve z1 and z2.

Q: Evaluate the integral.

A: Definite integral: I=∫49(x+1x)2dx      (x+1x)2=x+2.x.1x+1x=x+2+1x

Q: Use a suitable change of variables to determine the indefinite integra dx

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Q: Find the general suhetion of to

A: Given a differential equation, y"+2y'+17y=0 To find the general solution.

Q: Evaluate the integral. arctan(5t) dt

A: Here we evaluate the integral∫ arc tan 5t dt

Q: Evaluate the integral.

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Q: Find Z Z score that corresponds to the cumulative area 0.0059

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Q: Use two -point gaussian square to approximate the following double integral:

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Q: Evaluate the integral. ∫arctan 4t dt

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Q: Evaluate the impaoper integsal l da

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Q: Evaluate the integral. HINT: [Use a shortcut.] e3x - 1 dx

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A: Solution

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Q: Evaluate the inteqra integra 4 vE In(t) dt 1

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Q: Evaluate the integral of the following data using the Trapezoid Rule:

A: Given integral , I=∫00.5FXdX Values of X , FX given as follows: X 0 0.1 0.2 0.3 0.4 0.5 FX 1 7…

Q: Evaluate the integral

A: Given integral" ∫1-4x2dx Substitute x=sint2 and differentiate it w.r.t "t'…