Now consider the definite integral 2xV4 + x² dx Use your answer to question 4 and the Fundamental Theorem of Calculus to find the value of this integral. Select your answer from the options below. a. 83/2 *53/2 O b. 83/2 O c. 2/8 d. : 842 -. 52 2V5 83/2 2/3

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: Evaluate J by means of Simpson's rule with n = 2m = 20 and h = 0.05: 1` = exp(-x²)dx Note that this…

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Q: Evaluate the following integral. dx 484-x² What substitution will be the most helpful for evaluating…

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Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 J = exp(-x²)dx 0 Note that this…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

Q: Evaluate by algebra dx 1. S 3 1+ √x+1

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Q: x2 + 2 dx x° + x •T/2 5. 3 6. t cos (t) dt

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Q: ... Evaluate the given definite integral using appropriate substitution: 2xdx = O V2 ... (A) 3 3 B…

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Q: A defense contractor is starting production on a new missile control system. On the basis of data…

A: Given: L'(x) = 2,000x-12   To find: The number of labor hours required to assemble the 26th through…

Q: If fex) x2 f'co) 19+ t? dt find f'c3) %3D

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Q: In evaluating 2x – 1 dx by substitution, if 4=2x – 1 then what will be the resulting indefinite…

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Q: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is

Q: Consider the function f(x) = 1x® %3D (a) Determine algebraically if f(x) is even or odd. (b) Based…

A: a function is even if f(x) = f(-x)  then ∫-11fxdx=2∫01fxdx

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: 2. Evaluate the given definite integral, if it exist. V4 + 3x dx

A: To evaluate

Q: Evaluate the definite integral. 8t dt ° (3+ e)2 e 8f dt = (3+ e )? (Type an exact answer in terms of…

A: Here we have to solve definite integral

Q: 3. S e*V1– e*dx

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-4dx which will yield…

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: Determine the following indefinite integral. X 15-02 ex dx = dx, x < In 3 9- e 2x (Type an exact…

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Q: 3. Use the Fundamental Theorem of Calculus Part 2 to evaluate the integral, or state why the…

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Q: Evaluate the following integrals, where the coefficients 4,B,C, are the last three digits of your…

A: (1)  The given integral is ∫Ax2sin(y3z2)+By4z3x3-Cexyz∂x Here, the value of A, Band C is 0,2 and 8…

Q: 1- Find the integral of: A 2 cot - de 3 T7/2 А-

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Q: In evaluating (2r+3)Vx+ 2 dx by substitution, if 4=x+2 then what will be the resulting indefinite…

A: This can be evaluated as follows:

Q: In evaluating x- 2 dx by substitution, if u=x- 2 then what will be the resulting indefinite integral…

A: We can find the answer as below.

Q: Choose the most appropriate answer: Evaluate the integral : J 3x2 dx x3+20 O In(x³ + 20) + C T 40) -…

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. In 4…

A: We need to substitute e^t = x to solve it.

Q: 10. | Vi(1? + 31 + 2) dt

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Q: In evaluating x+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite integral…

A: We will evaluate this as shown below

Q: Evaluate the following indefinite integral. Do not include +C in your answer. -4x +5x +2+e)dx…

A: We're going to solve

Q: Evaluate the given definite integral. xp 2+7)(x³+21x+2)dx =(Type an integer or a simplified…

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Q: - Find the value of each indefinite integral. You do not need to simplify your answers. (a) 1 dt t -…

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Q: A. Evaluate the indefinite integral. S(2x+5)dx , and • Identify what is the u=? and du=? Show the…

A: Solve the indefinite integral in complete solution

Q: 39. | sec'x dx

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Q: Evaluate using the Reimann Integral: S (a2 + 5) dæ 128 3 100 3 128 None of the choices. Please refer…

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Q: In evaluating /x V4- x dx by substitution, if 4 = 4 – x then what will be the resulting indefinite…

A: ∫x4-x3dxu=4-x→dudx=-1→du=-dx

Q: Work out the value of the definite integral (5x +2)°dx 1 [B – CP], where A, B, C,p are positive…

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Q: Evaluate the indefinite integral. S(4v – v²)² dv , and Show the complete solution and express the…

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Q: Evaluate the given definite integral using appropriate substitution:8 8e2 dr -4e4 + 4 ... 4e4 – 4…

A: We have to solve the problem

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

Q: Evaluate the definite integrals a) Vi dt = 16 1 dz = b) 64 / dx = 8.

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Q: In evaluating x+2 dx by substitution, if u =x+2 then what will be the resulting indefinite integral…

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Q: Determine the following definite integrals: 3 (c) / 12x – x²| dx (a) [a- | (1+ v25 – x²) dx…

A: Evaluate the integrals:

Q: (b) Suppose we know that "(3/(x) – 2) dr = 6 and that af(a*) dr = 8. Use this information and…

A: The detailed solution is given below Thank you

Q: Use substitution method to find the indefinite integral: ∫3x^2/(4+x^3)^6 dx. Answer in this form:…

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Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: Evaluate the following definite integrals. Show all the calculations. V2 s²+V5 ds 2.1 s2 V3 2.2 Lt +…

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Q: 2 s² +V5 ds 2.1 s2 V3 L(t + 1)(t2 + 4) dt 2.2

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Q: 1. Given that | f(x)dx=4, which of the following integrals can be computed using a substitution? If…

A: To evaluate  the given integrals.

Q: 14. VE (t² + 3t + 2) dt

A: We use the formula integration of xn dx=xn+1/(n+1). See 2nd step.

Q: Evaluate the definite integral. integral (lower 0, upper 3) t^3 sin(t^4) dt  =

A: We have to solve the definite integral