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Q: Given the integral expression below: (8 + 4 cosx) dx Evaluate its value, a. analytically b. using…

A: As per the instruction, we will be solving the given integral in excel. For (a), Analytically:…

Q: The value of the integral | (|x+1|+|x) dx is а) 9 b) 1 c) 0 d) 4

A: The given integral is  I=∫-22x+1+xdx To solve the given integral we need a result that is ∫x…

Q: If y=sin?t+ tant, x=- In(-cost) - e int, find the value of y' when t=-. 4. %3D 6/2 2-Vze 2 3/2 B 6.…

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Q: Using the trigonometric substitution, the integral dx I = (x² – 100) Vx2 – 100 is equal to the…

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Q: Determine the constant of integration of f (x)= ƒ (15xª – 3x²) da if f (1) = 4? O None of the…

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Q: 5. Given the integral expression below: n/2 (8 + 4 cosx) dx Evaluate its value, a. analytically b.…

A: (a) The given integral is ∫0π/2(8+4cosx) dx=8x+4sinxπ/20        (on…

Q: Find the antiderivative using the indicated substitution. (Use C for the constant of integration.)…

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Q: S In?x dx = xln?x – 2xlnx + 2x + c %3D

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Q: Consider the following integration: I= 2x+| dx a) Use the trapezoidal rule to find the integration.…

A: We are given that I=∫122x+3x2dx

Q: Choose the correct answer for the following integration e2 dx 2х (In x)3 (A) e (B) -3 (C) (D) 8. (E)…

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Q: following integration can be solved by using the     technique, where in the first application of…

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Q: 13.Using integration by substitution in f'æ° (x® – 2)*dæ ,what is du? O A (26 – 2)³ dx (xº – 2)dr…

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

Q: The following integration can be solved by using the technique, where we have u = and du = to get r…

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Q: 1. Which of the following integration techniques should be used to evaluate f. sec? x V4 - tan? x}…

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Q: The value of the following = (2+ sin 2x3) Using the trapezoid integration dx method, knowing that n…

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Q: Using the trigonometric substitution, the integral dx (x² 81) V x2 – 81 is equal to the integral, in…

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Q: First make a substitution, and then use integration by parts to find the following definite…

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Q: The degree of the differential eqution 3 dx dy2 а. 6 b. 3 С. 1 d. 2

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

Q: Given ſ 97**sin x (1+ 2 cos x) dx. There is an appropriate value of u so that the resulting integral…

A: given ∫912x+sinx1+2cosxdx this can be written as ∫3212x+sinx1+2cosxdx⇒∫3x+2sinx1+2cosxdx put…

Q: Choose the correct answer for the following integration e2 dx Зх (In x)3 (A) 1 e 8. (B) -3 e (C) (D)…

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Q: 4. Lx? + 2x| dx integralinin sonucu aşağıdakilerden hangisidir? D) 25 B) 20 8 A) 10 E) 8 3 3 3

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Q: The value of the following = (2+ sin 2x³) / = (2+ sin 2x³) Using the trapezoid integration dx…

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Q: Evaluate the following integral. 2 3е xy? dz dx dy - 3 2 1 2 3е dz dx dy = |(Simplify your answer.)…

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Q: 1. Evaluate the following using integration by parts. Show all necessary solutions. (b (e) / re* (d)…

A: As per the guidelines we can solve 1 question only.

Q: Use the following data to answer question dy (1 + 2x),/y ,y(0) = 1.8 %3D dx Q. The value of y(0. 5)…

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Q: The value of the Definite Integral 4 18 sec? x dx = Answer:

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Q: У(2ху+ 1)dx — хӑу %3D 0

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Q: Choose the correct answer for the following integration e2 dx 2x (In x)3 e (A) e (B) -3 7 (C) 7 (D)…

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Q: . Evaluate the following. Use only the rules and techniques of integration presented in the module.…

A: As per guidelines we have to solve one question Please repost the other questions again

Q: Perform the following integration. 1. (sinhæ)(coth? a+csch® a) dự sec³ x tan x 2. S dx √2 + sec x 3.…

A: Given: ∫x-1x2+5x+8dx To find evaluate the given integral for the integration if a given function…

Q: C. Solve the following using Integrating Factor by Formula 1. 2y(x2 — у + х)dx + (x? — 2у)dy %3D 0

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Q: Given that x = e'Iny, y > 0 dx (a) Using the product rule find an expression for dy dy and hence…

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Q: (x³y³ + 1)dx + x*y?dy = 0

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Q: When approximating f(x)dx using Romberg integration, RA4 gives an approximation of order: O(h10)…

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Q: What will be the value of dx be, if v9- 4/5 is expressed in the form 5 - a, where both where a and b…

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Q: The value of the integral (x+1|+|x|) dx is a) 9 b) 1 c) 0 d) 4 Answer OB Oc

A: First we will eliminate the absolute according to the given limits of the differentiation then find…

Q: 3x2 dx is equivalent to Using substitution, the definite integral x³ + 1 .3 12 1 A du 0, .12 -1 2 du…

A: (a) Consider the provided integral, ∫023x2x3+1dx Using substitution method after write the integral…

Q: 1 Ju'e" du = u'e n-1 eau au Use the formula not integration by parts, a to evaluate / = fx'e*dx

A: The given integral is ∫x2exdx

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 14x – 60x? – læ + 3)dx…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…

Q: The equation below follows from the integration by parts formula by replacing u by  f(x)  and v by a…

A: Recall the following fact.

Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula…

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Q: Choose the most appropriate answer The definite integral: e 5z dx = %3D 10 5. O lie10 1 e hOlie 10

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Q: task 2a) solve the integral S. S dydx r(1+y²) by switching the integration order, characters are…

A: Given integral  ∫02∫0x 1x1+y2dydx Hence the limits  are  y=x ,y=0 x=0,x=2 So the region is bounded…

Q: While evaluating the approximate value of | 2² dx, using Trapezoidal rule, taking h = 0.5, the value…

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Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | +…

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Q: Q3:Evalaute the following integration a) ſ cosvx –1 dx (Ву part) dx b) S. (by trigonometric…

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Q: To evaluate the integral 1 dx, we substitute (x2 + + 2x)3/2 x = sec 0- 1. Select one: a. False b.…

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Q: Evaluate Si e2x sin(3x + 2)dx 3 Evaluate using integration by substitution Sx²(3x³ + 5)9dx Evaluate…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.