2 ;x< 0 ). Graph the function f(x) = {, 2:>0 over the interval [-2,4]. Then use simple area formula from geometry to find the area. Also, verify your answer by direct integration.

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

A:

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

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 7x2 + x + 7 dx (x² + 1)2

A: The given integral is: ∫7x2+x+7x2+12dx To evaluate the given integral.

Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: I = ∫ x ln (5+x) dxLet  5 + x = u       dx  = duand,          x = 4 - 5

Q: Find the area bounded by the y-axis and x = 4-y2/3 (Solve using Integral Functions)

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Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Evaluate the integration: r sin(20)drd0 Over the area in the first quadrant bounded between two…

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Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) | (3x5 - x4 + 1) dx

A: The objective is to evaluate the integrals

Q: Approximate the area between f (x) = x² + 6x + 5 and the x -axis on the interval [0, 2] using 4…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x + 21 dx x + 20x + 104

A: Consider the provided integral, ∫x+21x2+20x+104dx Evaluate the provided integral. Apply the…

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: To integrate the given integral.

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

A:

Q: dx 2

A:

Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx

A: In this question, we need to find the integral of given function.

Q: Evaluate the integral. (Use C for the constant of integration.) (4x4 3x-2 + 5x-5 + 2) dx

A: By using integration formula we can easily solve it. See attached file for a step by step…

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

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

A:

Q: Use integration by parts to find the integral. xeax dx (a # 0)

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

A: We have to solve integration by using exponential integral formula.

Q: Use integration tables to find or evaluate the integral.

A: To evaluate: ∫01x1+ex2dx Evaluating the given integral, Let substitute  t=x2 dtdx=2xdt2=xdx…

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We have to find area bounded by the given curve.

Q: Find the area under the curve y = - - over the interval [4, 9]. (4x + 2)² Enter the exact answer.…

A:

Q: Find the area under the curve f (x) = x° from x = 0 to 2 using LRAM, MRAM, and RRAM, each using n =…

A: The given function is: f(x)=x3 To find the area under the curve from x=0 to 2 using left Reimann…

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

A:

Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

A: r=2sin3θ

Q: For Trig integration find the integral of  Sec^6(6x)

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

A:

Q: Evaluate the integral 5(x – 9) dx (x + 5)(x – 2) Note: Use an upper-case "C" for the constant of…

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Q: Evaluate the integral. (Use C for the constant of integration.) (2× – 5*) dx

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Q: Evaluate the integral using tabular integration by parts. (2 x² – x +3) e +C -

A: We can evaluate the given integral by the tabular integration by parts method.

Q: Find by double integration the area bounded by the given curve, y2 = 4x & y = 2x - 4

A: If a region is bounded by the curves f(y) and g(y) over the interval [a,b], then the area by using…

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

A:

Q: Evaluate the integral. Use C for the constant of integration. 4dx

A: Given integral is- I=∫4dx9x3 It can be written as- I=49∫1x3dx=49∫1x32dx=49∫x-32dx

Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 10 dx 5x + x/x

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

A: The given integral is ∫x+21x2+20x+104dx. Evaluate as follows.

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 25x2 +…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral by using u-substitution and changing the limits of integration. x3 dx -1 ex*+1

A:

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

A:

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 25x-5 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (3x5 + 1) dx

A: see 2nd step.

Q: 4 dx .2 (х - 6)(x + 2х + 8)

A: Perform Partial fraction Comparing coefficients By solving the equations

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

A: ∫16x3-6x2+8x+3 dx

Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

A:

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

A:

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

A:

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.