Set up integral for the Velume aboud X- 3 X = * and Y=2

Q: 5. Sx³e2* dx

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Q: (1 dz z dx, 1 az z dxz 1 dz =x1 X2 X3. z dxz

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Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Evaluate the integral using tabular integration by parts. 4 x° V2 x + 1 dx +C

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Q: coth v csch v dv 0.1

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Q: By using double integrals find the area between x = – y², lines y = x – 4, y = -2 and y = 2.

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Q: Evaluate the integral using tabular integration by parts. 7 x° V2 x + 1 dx 36 (2i al + 9 =') +cX

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Q: S 343.4 * (0) (9x) dy

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Q: Evaluate the integral using Algebraic Sub. Vax dx

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Q: Evaluate the itorated integral. 24 ,xty *ty dx dy

A: First we need to calculate integral with respect to x then y

Q: Calculate the integral by interchanging the order of integration. (x + 3eY – 4) dx) dy Jo

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Q: Evaluate the integral. ∫t3  et dt

A: ∫t3  et dt  We need to evaluate the integral.

Q: Find the integral. Show work. Inx dx

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Q: Evaluate the integral using tabular integration by parts. |2 V2r +1 dr = V2 x +1 dx +C

A: First integrate root terms separately as I have done step by step with all explanations...hope now…

Q: Evaluate the integral using integration by parts. 3x cos (5x) dx Se 3х cos (5x) dx =

A: Let u=cos(5x) and dv=e^(3x)dxFind du and v from those.

Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x…

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Q: Evaluate the integral. In(x) dx, y > 0

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Q: set up 2 integrals in both the shell and washer method to compute the area between x-axis and y=x2…

A: Draw the curve, as follows:

Q: Evaluate the integral using integration by parts. 2xe3* dx

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Q: the exaet V alde Of the integral. a

A: The objective is to show the exact value for the integral, ∫01axdx This can be re written as,…

Q: ydy (y–1)*

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Q: Use a double integral to find the area of the specified region. 25 y = 25 - x 20 15 10

A: Use double integral

Q: Evaluate the double integral where D is the triangle bounded by the x-axis, y-axis and the line y =…

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Q: Evaluate the integral using integration by parts. cot -1(5y)dy

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Q: Evaluate the integral. (x + 4y) dy

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Q: Evaluate the integral using integration by parts. 9x° e 2x dx 2x dx =

A: Given, ∫9x3e2xdx

Q: Evaluate the integral 'In (Inz) dz X

A: Note: instead of x there should be z in denominator otherwise x behave likes constant.

Q: Evaluate the integral using Integration by Parts. 2z2 cos 5z dz

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Q: | x²ln(x) dx 1

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Q: Reverse the order of integratlon and then evaluate the Integral 10Tin6 Jinu! dx dy 9/10 et2

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Q: | x(2x – 1)"da

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Q: 3. Reverse the order of integration in 24e² dydx and then evaluate the integral with the new limits

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Q: Evaluate the integrals. ∫ex + ex dx

A: Let,                 I = ∫ex+ex dx  = ∫ex.eexdx          (By exponent rule)   Now to find this…

Q: et dz V1-e2x

A: Given problem:-

Q: Reverse the order of integration in the iterated integral and then evaluate the integral. VE (2-x…

A: From the limits of integration, the region bounded by the curves y=0, y=2-x2, x=0, x=2. The region…

Q: Evaluate the integral using integration by parts with th xex dx; u = x, dv = e3x dx 3r 1 3x

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Q: Evaluate the integral using tabular integration by parts. 8 x³ V2 x + 1 dx +C

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Q: 1 Oblicz d.x, Vax ах — х2 – x²

A: In this question, we have to evaluate the improper integral. Here we also use the property of Beta…

Q: 12x CO

A: Given,          ∫512x2cos8xdx

Q: (12) Sz sec¹z dz.

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Q: Evaluate the integral using tabular integration by parts. 2 x° V2 x +1 dx

A: We have to solve using tabular by parts

Q: Evaluate the integral using tabular integration by parts. 5 x° V /2 x + 1 dx +C

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Q: Use double integral to find the average temperature of 1 (x, y) = tion of o ploto 0<rs4 and 0< y3 5…

A: Given,      T(x, y)=12-6x2-4y2,       0≤x≤4 and 0≤y≤5

Q: Evaluate the integral using tabular integration by parts. 1 | 7 x° V2 x+1 dx (2x + 1) (35x – 15x? +…

A: Given,            ∫7x32x+1dx

Q: .Use integration by parts to evaluate the integral. In(z) dz = z2

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Q: A7 Mp (M)/ eMm

A: GivenI = ∫17w2In(w)dwusing by parts u = In(w)        v'=w2

Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…

Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.