Use the area shown in the figure to find the value of each integral. a) S S(x) dx: у-аxis Area = 0.6 Area = 0.3 b) , f(x) dx = a 9. х-ахis o) S(+) dx = %3D y = f(x) Area = 2.4 d) If f (x) represents the velocity function of a particle, what is the displacement of the particle over the time interval [a,c]?

Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with…

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Q: Use integration by parts to evaluate the integral. f2x si sin(x) dx + C

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Q: Evaluate the integral. (Use C for the constant of integration.) 6 arctan(Vx) dx

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Q: Find the area bounded by the parabolas x2+y-9=0 and x2-8y=0   (SOLVE BY USING INTEGRAL CALCULUS)

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 [BX 8x √√x + c dx

A: Given ∫8xx+c5dx

Q: Evaluate the integral. (Use C for the constant of integration.) sin?(x) cos (x) dx

A: The given integral is ∫sin2πxcos5πxdx. Let u=πx. Then dx=1πdu. Solve the given integral using the…

Q: Using residues, calculate the improper integral 1 dx . 1+ x4

A: By using residue theorem the above integral is solved as follows

Q: Evaluate the integral. (Use C for the constant of integration.) 10e-0.7x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 6 dx 2x + xVx

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Q: 5e5x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 5x+e5z te* dx

A: Given,            ∫6e5x + e5x dx

Q: Evaluate the integral. (Use C for the constant of integration.) /1+√x ox dx

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Q: (a) Evaluate the Integrals:  ∫{2x^2 + 3}/{x(x − 1)^2}dx b) Find a horizontal line y = k that…

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Q: Approximate the value of the given integral by completing parts (a) and (b) below. (a) Use the…

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Q: Evaluate the integral. (Use C for the constant of integration.) (1.2^x+4^x)dx

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Q: Evaluate the integral. (Use C for the constant of integration.) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 8x2 dx

A: Explanation of the solution is given below....

Q: Evaluate the integral. (Use C for the constant of integration.) 4 tan(x) sec (x) dx

A: Given the integral, ∫4tan(x)sec3(x) dx = I(Say) Now, I=∫4tan(x)Sec(x)sec2(x) dx.........(1)  Now…

Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral [ sqrt 4 + (In…

A: Given: ∫x+lnx2xdx

Q: Evaluate the integral. (Use C for the constant of integration.) 1000e0.1x dx

A: Integration

Q: Use the Trapezoidal Rule to approximate the integral of e^(3/x) dx from 2 to 3 with n=4 . Round the…

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Q: Evaluate the integral. (Use C for the constant of integration.) 9x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 1- sin(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan*(x) sec (x) dx

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Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 dx x(x* + 1)

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Q: Evaluate the integral. (Use C for the constant of integration.) 45x-5 dx

A: Consider the given integral. ∫45x-5dx The objective of the problem is to evaluate the given…

Q: Evaluate the integral. (Use C for the constant of integration.) 16 In(Vx) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 8x 8 dx 8x e

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Q: Set up the definite integral required to find the area of the region between the graph of y = 17 – r…

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) dx x2…

A: Given: ∫dxx24x2+81

Q: Evaluate the integral by reversing the order of integration. 16 2 y3 dy dx + 1

A: Answer and explanation is given below

Q: Evaluate the integral. (Use C for the constant of integration.) dx ex/2

A: Given,  ∫e5x-7ex/2 dx

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral [ sqrt (e2x   -…

A: Given:     ∫e2x−1dx

Q: Evaluate the integral. (Use C for the constant of integration.) | 2000e0.1x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx Vx + xVx

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Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral [ 1/ x 2  sqrt…

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Q: Sketch the region whose area is represented by the definite integral. ▪4 5 dx y y 6F

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 tan (x) sec (x) dx C must be in…

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Q: Evaluate the integral. (Use C for the constant of integration.) (7 – 17x) dx

A: We can solve the indefinite integration.

Q: Sketch the region whose area is represented by the definite integral. dx 2 4 Use a geometric formula…

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Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

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Q: Using integration by parts, the integral f In(16x*) dx is equal to:

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Q: Use integration by parts to evaluate the integral. 8x e (X dx 8x e TX dx = (Use C as the arbitrary…

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Q: SET UP the definite integral that will give the area of the shaded region using a. x as variable of…

A: Given query is to setup integral for area inclosed by given curves.

Q: SET UP the definite integral that will give the area of the shaded region using a. x as variable of…

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Q: Evaluate the integral. (Use C for the constant of integration.) 6x2 + 8x + 3) dx

A: ∫16x3-6x2+8x+3 dx

Q: Using integration by parts, the integral f In(8x2) dx is equal to:

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Q: Evaluate the integral. (Use C for the constant of integration.) | 1923e dz

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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.