Evaluate the following integral -1.6 Ax? + Bx + C + 5 dp- I = sin 2x (i) Trapezoidal Rule (ii) Simpson's /3 rule (iii) Simpson's /g rule

Q: Evaluate only four integrals of the following integrals: 1/4 1 dx (i) dx (ii) J √1-9x² sin (3x) 0…

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Q: Evaluate the integral 8x2 dx J (æ – 3)(x + 2)² - Note: Use an upper-case "C" for the constant of…

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Q: 7. Evaluate the integral using integration by parts. S cos (5x)e 2* dx.

A: Given the integrationI=∫cos(5x)e2xdx

Q: 2.Find the following indefinite integral without substitution. S sec y (tan y- sec y)dy

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

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Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: The suitable substitution to evaluate the integral V cos (2x) dx is COS

A: Given that:∫cos5(2x)csc3(2x)dx

Q: Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of…

A: Solve the given integral

Q: Evaluate the integral. (Use C for the constant of integration.) cos3 sin2 dt

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Q: Find the value of the definite integrallo 2 cos ( x ) dx given that the antiderivative for the…

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: 3. Evaluate the double integral /sin(x+y) dx dy by using Simpson's 1/3-rule with four sub-intervals.

A: I = ∫0π2∫0π2sin x+ydxdy,

Q: Evaluate the integral. (Use C for the constant of integration.) 3,2r+e2" dx

A: Solve the intregal

Q: Evaluate 19191 x2 dx 1)3 3 Estimate the integral with n = 8, use (A) Trapezoidal Rule (B) Simpson's…

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Q: Evaluate the integral. (Use C for the constant of integration.) 9x cos(8x) dx

A: Integrate this by integration by parts

Q: TU 8. fz sin¹x cos5 x dx 2 0

A: To find the value of the given definite integral:∫0π2sin4x cos5x dxWalli's Formula:∫0π2 cosnx dx=…

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

Q: Evaluate the integral. (Use C for the constant of integration.) sin(8x) cos(5x) dx

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: 79. What are the new limits of integration if we apply the substitution u = 3x +7 to the integral…

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

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Q: 10 x2 +9 dx 5

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Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Find the general indefinite integral. (Use C for the constant of integration.) ∫3v(v2+4)2dx

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Q: Q1: Evaluate the following Integration: a) ( In(x²+x)-Inx-en3 dx b) S; sinx Ine(x+1) 1-cos²x

A: Answer (a): To evaluate this integral, apply the logarithmic properties : And, And, And, And,…

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

A: Let, u=x and dv=cos(6x)

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

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Q: Q3. Find integral of ( by using Rectangular rule): -38 L Sin(x) In(x + 2) dx , n = 7 24

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Q: 6. Sx²e3x*dx 7. Sye-v*dy 8. S sin2x ecos 2x dx 9. S 10-3*dx 10. S a²Ydy

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Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

A: The given curve is,

Q: , 1. Take the following integral numerically using an end corrected method. (n-7, h=0.001) (give…

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Q: 5. Evaluate the integral. (Use C for the constant of integration.) sin³ (y)cos (y)dy

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Q: Use integration by parts to evaluate the definite integral. | t² In(t)dt Give an exact answer

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Q: Determine the approximate integration of the following using simple & modified trapezoidal,1/3…

A: Only one question or maximum 3 parts are allowed . I did 1st integral , for other 1 please repost

Q: a) Evaluate the integrals using appropriate substitutions. dx Sine i) S ii) S de Cos? 0+1 1+16x?

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate the integral (i) S3x3 sin 4x dx (ii) ſ In (x³ + x) dx (ii) cot-1 2x dx (iv) ſeax cos bx dx

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Q: 1. Use the table of integrals to integrate the followin a) S sin ) s in () dt

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Q: 2 S sin (ax)cos(ax)dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 5x cos(4x) dx

A: Given, ∫5xcos4xdx We have to evaluate the integral.

Q: Q5. Approximate the integral Sin(2x)dx (i) Using composite Sympson's rule with n = 2,4 and

A: As per the policy of bartleby the provisions is to solve only one question at a time so I am solving…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: Only one of these calculations is correct to evaluate the definite integral Vx+1 dx Using the…

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Q: Apply integration by parts to find the indefinite integral. S e2t cos(3t)dt

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

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Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…

Q: Evaluate the integral. (Use C for the constant of integration.) cos(x) (4 + 8 sin²(x)) dx

A: Solve the intregal

Q: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

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Q: 4. Evaluate this integral by reversing the order of integration: Vy3 +1 dy dx.

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Q: Solve numerically the integral e**dx ´dx by: (1) Trapezoidal rule with n = 4 (ii) Simpson's rule…

A: The given integral is, 12π∫-22e-x2dx

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.