Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: Find the most general antiderivative or indefinite integral. 14 5x Зх+ 2) dx -3x+ 14 5x -3x+2) dx% =

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Q: f(x, y)dydx= 0. f(x, y)dxdy. 0. Select one: O True O False

A: Given; ∫01∫0xfx,ydydx=∫01∫y1fx,ydxdy   Let, I=∫01∫0xfx,ydydx The region bounded by the lines, y=0,…

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Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: Given: dx x3 Using trigonometric substitution, solve for the integral form in terms of 0.

A: This question can be solved by taking x=3secθ

Q: 24. f)dx + fx)dr =,

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: (x Using a suitable trigonometric substitution, the resulting integral in terms of V9x²+4 Consider e…

A: Given problem:-

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Q: 8. Let y(x) be the solution of the differential equation ry-y-Ina such that y(1) 1. Find y(2). A…

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Q: 9) Local Linear Approximation a) Find the local linear approximation of g(x)= x° at x, = | b) Use…

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Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

Q: Integral 1.

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Q: Sinx /2

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Q: Convert the Cartesian coordinates (-2, 2/3) to polar coordinates. (4, 150°) (4, 120°) O (6, 120°)

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Q: 2 - メ

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Q: 11.) Find the area inside r -3cos(e) and outside r = 1+ cos(e)

A: As per guidelines we can solve only one question at a time so please repost other question.

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Q: +00 dx Evaluate the improper integral x(In x)²

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Q: True or False, If f' (3) = f" (3) = 0. then I 3 MUST be an inflection point. (Remember = to give…

A: It is given that, f'(3)=f''(3)=0 then x = 3 must be an inflection point.

Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: 12-11= Sin(z)

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Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

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Q: 3) Given: f(x)=x* - 5x'+9x? a) Use a sign analysis to show the intervals where f(x) is increasing,…

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Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: ta the téduction of order melhod, the substitution y= 5u can be used for the DE: - 3y/= 0, to obtain…

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Q: Q.2 - Use the Riemann sum approximations to approximate the area under the curve of y = x on the…

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Q: Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)  lim x→∞ 2x tan(1/x)

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Q: e2" (x + 1) cx – e(x4 – 1)dy = 0 d Hint: 4 (arctan x) = dx 1+x*

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Q: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

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Q: Find the average value of the function on the interval. Give an exact answer. f(x) =  1/(x-7)^2…

A: For average value of f, we need to integrate in the given interval.

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A: The domain of a vector valued function is the intersection of the domains of its components.

Q: onsider the polar curves C1 :r = 1+ cos 0 and C2 : r = 2 cos 0, and let R b

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