For Problems 1 and 2, set up integrals that could be used to find the areas of the shaded regions. Do not integrate. Show the equation(s) used to find the limits of integration for Problem 2 without using a calculator. f(x) =x² -4x 2. g(x)=-x

Q: Evaluate the Integrals: ∫ (2x2+3)dx/x(x+1)2

A: Given the integration I=∫2x2+3x(x+1)2dx

Q: 1. Г, 4x3 dx -2

A: We will find the value of the integral in the following step

Q: xps

A:

Q: how can I solve the following problem using the TI-89 calculator?   the edge of a cube is found to…

A: To use differentials to estimate error

Q: The integral of the given function csc °x dx is equal to

A: Given,          ∫csc6xdx

Q: Evaluate the integral. (Use C for the constant of integration.) 9x3 + 2x2 + 27x + 2 dx (x2 + 1)(x2 +…

A: We have to evaluate the integral by using partial fraction

Q: Find the integral. ∫ ( (3 / x 3 ) + ( 2 / x ) + ( 4 / x 4 ) dx.

A:

Q: Evaluate the integrals ∫dx/4 + x2

A: Consider the following formula: ∫1x2+a2dx=1atan-1xa

Q: 1. L, 4x³ dx -2

A: Value of definite integral is 65.

Q: |(In(x))² dx

A:

Q: 1. fx³ In x dx

A: Evaluate the integral equation by integration by parts .

Q: What change of variables would you use for the integral S (4 – 7x)-6 dx?

A:

Q: Suppose ƒ is an even function with integralEvaluate each integral.

A: Given:           f  is  an even function.    ⇒  f(-x) = f(x)   for all x

Q: Find the specific function such that f'(x)=x^4(x^5+1)+0.9e^x and f(0)=1.(Hint:You may need to use…

A: Given :f'x=x4x5+1+0.9exf0=1

Q: 1 dx x² – 4x + 4

A:

Q: f '(x) = 10x9,  what is f(x)? (Use C for the constant of integration.)

A:

Q: √ x-1 x² + 5x +8 dx

A: Given ∫x-1x2+5x+8dx

Q: Evaluate the integral. (Use C for the constant of integration.) + 5x2 + 6x + 5 dx + (x²+ 1)(x2 + 6)

A: Use linear factorizing method and solve the integration.

Q: 1 | x(x2 + 1)*dx -1 |

A:

Q: 9. /4x – x² dx

A:

Q: dx 15. x1+(In x)*]

A: Given:       ∫10dxx1+lnx2       =∫101x1+lnx2dx substitute u=ln x→dudx=1x→dx=xdu…

Q: Suppose we wish to find the integral of x dx/(1+x^4), the first step to solve this is by

A:

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A:

Q: find the indefinite integral of the ff   ∫x √x+1dx

A: Given integral is, ∫ xx+1dx.   It is integrated as follows:   Apply u-substitution, u=x+1 ∫…

Q: Find the integral S(9x² + 5x* + 2)dx

A:

Q: Use your paper to show the work and answer to the following indefinite integrals. If f(x)= 6x² – 3x…

A: In this question we need to find a indefinite integration of the give function.

Q: L, rVx* + 1 dx -3

A: we have to find out the integration

Q: (x+1)dx. x(x² +9)

A: Find the indefinite integral

Q: x²+2x+1 dx (x+2)(x−1)²

A:

Q: evaluate the integrals 5x^3/1+x^8 dx

A:

Q: Find the indefinite integrals below. a) S 12x³ Vxdx dx x³-7 b) S c) S 9e0.2x dx

A: We have tofind the indefinite  integrals.

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√x - 3

A: To evaluate the integral: ∫1xx-3dx. Let substitute u=x-3 dudx=12x-3dx=2x-3du Substituting the value,…

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: Evaluate the integral  (x+9) / (x^2+4) dx

A:

Q: I g(x) dx = 14, find [2x) + 49(x)] dx. If f(x) dx = 33 and

A:

Q: q² In(x³ + 1) dx

A:

Q: S 2 (2x² + 1) dx

A:

Q: Calculate the value of the definite integral. 5 4 dx

A:

Q: For problems 18 – 23 differentiate each of the following integrals with respect to x.

A: Given that: ∫9xtanxcost+2sint+4dt

Q: ( (x²+x+8)dx (x2+3х-4)

A:

Q: Find the indefinite integral. x° - 5x xp. 4 X° - 5x dx = 4

A: The given integral is ∫x5-5xx4dx

Q: Find the integral 1 dx = 9 – x²

A: We have to find the integral: ∫0119-x2dx Simplifying the question so that we can use the table of…

Q: x6 dx V x14 - 3

A: ∫x6  dxx14-3 On simplification, we get ∫x6  dxx14-3=∫x6  dxx72-32 Now put, x7=t⇒7x6=dtdx⇒x6  dx=dt7…

Q: find the complete integral for equation  p2-q+y2-x2=0

A: Answer

Q: Identify the smallest integral up 3. h(x) = x² + 8x + 15

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3メーメヤxー9 dx x²-3x+2

A:

Q: Use any method to evaluate the integral. x'dx 2 X + 16

A:

Q: Use the Change of Variables Formula to evaluate the definite integral. 6 In x dp- 1

A:

Q: Question 2 Apply the properties of integrals to calculate ,(3 + 4x?)dx and S(2 – 3x)²dx.

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.