3.1 Consider the following integral and answer 1 dz where C is the equation z – 3i| = 2. (b) What can you say about the analyticity of the integrand with respect to the given curve C.

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: on 3.2 p. 283/285 # 90 pute the following integrals using the guidelines for integrating powers o…

A: Please refer to the image below

Q: 18 Estimate the error if cos t is approximated by 1- 2 in the integral cos t? dt. 4! - -+ The error…

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Q: Evaluate the integrals ∫√t sin (2t3/2) dt

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Q: 7. Evaluate the integral. J CoS X dx 0 1+sin2x

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Q: 1. Compute the following integrals. (a) dx. (b) 2° sin(x³) dx.

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Q: Evaluate the integral •5 sin(t)dt 6.

A: Given:∫65sintdt

Q: 11. Evaluate the following integrals. sinx dx 1- cosx dt fxsec' x dr b) a) c) t2 +81

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Q: 3 2(x²+1)7 Write down an integral that gives the ARCLENGTH of y on the interval from x = 0 to x = 2…

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Q: :+cos(x2) dz. =(s* + 1) 4.1 with C: |z- il -. 4.2

A: Explanation of the answer is as follows

Q: Evaluate the integral. 4π S t² sin(2t) dt

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Q: Which of the following definite integrals gives the length of the arc y - 1 + 16x-dy 0 16y – 15 이 0…

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Q: 2 Evaluate the definite integral 16sin(t)cos (t) dt.

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: 1/16 1/2 || cos(167x) dxdy b) By using the change of order evaluate the integral

A: We have to change the order first.

Q: 2. Evaluate the following integrals. (a) S sin°(=) dz

A: Using Substitution u = cos(x) , to solve integration

Q: 1. Prove that L{cos(at)} cos(at)dt integrating by parts twice and the evaluation of the improper…

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Q: Consider the following. 0.4 x2 xp V4 - 25x2 4 – Let x 2 sin(0) and determine the following. dx = de…

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Q: 1. Compute the following integrals. (a) sin (e) dx. 4 dx. - (b) x2

A: we have to calculate integration

Q: Which of the following integrals determines the length of the curve defined by r(t) = 2ti + cos(t) j…

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Q: dy -1

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Q: Evaluate the integrals ∫√(1 + cos (t/2)) dt

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Q: 8) Let x= 2t - sin(2t) and y=- cos(2t). Set up an integral in parametric form to determine the…

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Q: Estimate the following definite integrals using the trapezium rule with six strips: 0.6 (a) Vx3 +1…

A: As per the company guidelines we are supposed to solve first 3 subparts of a question. Kindly post…

Q: Consider the following propositions associated with the study of the +∞ dx J - 1.1² √6 +1 improper…

A: Given : ∫1+∞dxx  in which 1x6+1≥1x

Q: Evaluate the definite integral. 1 6 cos(at/2) dt

A: Given:        ∫016cosπt2dt Taking constant out      =6∫01cosπt2dt substitute u=πt2…

Q: 1. Evaluate the integral using FTC Part 1. | (23 – 2a) dæ 2. Evaluate the integral using FTC Part 2.…

A: As per guideline we have to solve only one question

Q: 2. Find the following indefinite integrals. 1 (a) dx J x/16 – [In(x)]?

A: We have to solve

Q: 1.Evaluate the following integrals and check using differentiation: d5-5t dt 10 0.5t sin(0.5t)_3…

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Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: •1 r1 Evaluate the double integral / /. cos(y*) Vy³dydx

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Q: 3. (a) Evaluate the following integrals: (1) / VE VzVE+1dæ sin 40 (i) / i do cos? 20 1+ (b) Find…

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

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Q: Evaluate the definite integral. sin(3t)dt Preview kl3

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Q: 1. Compute the following integrals. (a) dx. (b) x³ sin(æ³) dx.

A: We have to integrate both

Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: Compute the value of the following integral: ∞ (t) cos() 8 (t-1)dt ∞ 2 where 8(t) is the unit…

A: According to the definition ∫f(x)dx=F(x)+C, where dFdx=f(x). A delta function is defined as δ(t-a)=0…

Q: Show detailed solution for the following integral: (Non-anonymous questionO) S tan'z sec³z dz 7

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Q: 1. Evaluate the following integral: (6 + 3 cos x) dx a. Analytically b. single application of the…

A: In the Trapezoidal rule, we calculate the area under the curve by dividing the area into the smaller…

Q: Evaluate the indefinite integral: 4t cos (t ) dt = %3D

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Q: 1. Evaluate the trigonometric integral. (1) [20sin² (2x)cos (2x)dx (ii) S4ta dt

A: Given integral is: I=∫20sin22xcos22xdx To solve this integral we will use the following…

Q: (cos x Kpxp () I S

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Q: 10. Find the indefinite integral. Te cos 3t dt dv u = du = v =

A: Given integration is : ∫e9tcos3t dt   To find the value of integration.

Q: Evaluate the following integral in image 20200523_215458.jpg (b)Find the equation of the tangent to…

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Q: 2.2 Evaluate following integrals. .sin VT cos E 2.2.1 dx

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Q: Evaluate the integral: -2e 2е π/3 ₁² /³ tlnu tans ds du dt 0

A: In this triple integral we first integrate with respect to 's' then with respect to 'u' and in last…

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: Evaluate the following integral. 16 dx 1- vx 16 dx | (Type an exact answer.) 1-

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Q: (3) Using Hilbert-Schmidt theorem, solve the following integral equation: (1) y(=) = (x+2)*+ /…

A: Given integral equation, yx=x+22+∫-11xt+x2t2ytdt          ...1 Here fx=x+22, λ=1 Firstly find the…

Q: Q5: Compute by part the following indefinite integral Sx. In x dx

A: Given  that a integration and we solve it by part. We know that integration of Xn  is -  = Xn+1/n+1.…