2x Evaluate the improper integral S xe dx,

Q: oroper integral dx La -3 (x + 4)k

A: Improper integral problem

Q: Compute the given integral. 1 dx = x² 16 +C

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Q: 3. (5 marks) Evaluate the integral I = dx. Hint: If you need to evaluate fe da, don't! Try a…

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Q: QUESTION 2 a) Evaluate the following integrals with respect to x. i) f9x cosech (3x)dx -0.5 xsin¯'x…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: fcot(x) dx

A: First written cot(x) into cosine and sine form and then by substitution find the integral.

Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: 14. Evaluate the integral. 4 (y - 2)(2y + 1) dy

A: Given that : The integral is ∫04 ( y - 2) ( 2y +1) dy

Q: dx V36 - 4x2 You will have to "pull out" at least 1 number before using the integral table that was…

A: According to the question, we need to find the integral of the function: I = ∫136 - 4x2dx Substitute…

Q: Ssin (y)cos(y)/3+ sin° (y) + 5e" dy

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Q: 4 dx 1/2 v1-x²

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Q: -3.5 x/(16 – x²)3 dx 0.5 Find the numerical value of the integral using: a.) Trapezoidal Rule (n =…

A: Given: ∫3.50.5x16-x23dx To find: Numerical value using trapezoidal rule.

Q: Q I find integrals 3-2X 2 +4X dx

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Q: Hello, I need to determine the indefinite integral for the following:

A: Given,

Q: .2 Integrals of the form V1+4x? dx

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Q: Evaluate the iterated integral. 5 2х х-2 dz dy dx -2 0 y

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Q: Find a particular integral for d^2y/dx^2+ 4dy/dx+ 3y = x^2

A: We have to find particular integar

Q: D 3 (x+z) dx 2) sin Con) de 3 3dx 2

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Q: nto Usx) = S K(x5) K($st) f(t) dt d 3 %3D a Us CX) = Sfct)[ [K(x,3)K(3st)d3] dt %3D

A: Correction in equation 9: u2x=∫axKx, ξ∫azKξ, tftdtdξ     ………9 So, u2x=∫ξ=axKx, ξ[∫t=azKξ, tftdt]dξ…

Q: 24. Evaluate the integral: ," dy y2+2y-3

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Q: 3. Evaluate the integrals: e2x dx x2 е. 3 f. Si tan(2x) dx 3

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Q: yA y = f(x) -2 2 8 Evaluate the following integrals by interpreting them in terms of areas: a) /…

A: Recall: Slope intercept form of an straight line:         y-y1=y2-y1x2-x1x-x1

Q: zr² sin 0 dz dr de Jo Jo EIN

A: Triple triangle is defined as volume. Using the integration of power rule and integration of Sine…

Q: 4 Evaluate the follwoing integrals. Show your work and state any appropriate methods you use. (a) 10…

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Q: 3 I [(e* +x² + A\dx Дх 3 0,25 1

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Q: Evaluate the integral ∫04 (y-2)(2y+1 ) dy

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Q: Q. No.5 Compute the integrals: a) S* 4 sin* x cos?dx b) , cos 2y sin 5y dy

A: Given:  5. a) ∫0π4sin4x cos2x dx b) ∫-π0cos2y sin5y dy

Q: 4). S§ dx (Improper Integral) Jo x-4

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Q: Solve the intial value problem where y(-2) =0: (6e^3y +1)(x+1)dy - xeydx = 0

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: 1 dx 8- X3

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Q: y = f(x) 2 3 Area=5 Find the definite integral | 2f (x)dx =?

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Q: Evaluate the following integrals. You do not have to simplify your answer. 1.) f se"- 12 1 dx 1+ x2…

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Q: 0 1 Q3:Evaluate the integrals [(x+y+1) dx dy -1-1

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Q: 6 r5 So f5x dy dx X 1

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Q: Compute the following integrals. x?e2a dx.

A: Part a,Given,          ∫x2e2xdx

Q: 1 c) (x² + e#)% ( Hint for part (c): Try to use Comparison Theorem for Improper Integrals) -d.x

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Q: [-1+(n+1)n x]+c (n+1) x* In xdx t.

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Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: •3y 4 1. Evaluate the integral , S" 3 + x² + dxdy

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Q: is    S=∫θ=0π4∫r=02 r dr dθ the integral needed to solve the problem?

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Q: 6. How would you begin to numerically approximate the double integral: bd 1-SSS(x.y)dxdy ac

A: Given integral is   I=∫ab∫cd fx, y dx dy

Q: 16 Suppose we know that " (35(x) – 2) dr = 6 and that :[ #f(x²) dx = 8. Use this information and…

A: We have, ∫4163fx-2dx = 6 ∫04xfx2dx = 8 To evaluate: The value of ∫04fxdx

Q: Compute the given integral. 1 dx = +C x²+36

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Q: 4 VI 2. Evaluate the integral: xy dydx. 2

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Q: Question 1 2dy Evaluate the integral Зу — 4

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Q: (10) Į dx 2x +7x – 4 .2 (11) ſx²e* 2-5x хе dx T/2 (12) | x sin x cos x dx X

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Q: = "+1 + C. 2. The power rule for integrals is x" dx a. Evaluate f da = fx2dx. n+1* 1 b. What goes…

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Q: Find the exact value of the integral. Question 1 4 V2 + x'dx dy

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Q: solve the integral below please. y = 1 + ∫x0 2t(1+y2(t))dt

A: We will find out the required general solution.