2x Vez +2 dx

Q: Compute the given antiderivative. Use exact values. s dz = 5 2 X +C %3D

A: The given integration is: ∫5x dx To compute the given antiderivative.

Q: 8. Integrate by parts: a) St csc? t dt b) S x2 In x dx

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 28 integral…

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Q: Evaluate L e* dx dy by using trapezoidal and Simpson's rules.

A: Given that, ∫02∫01ex+ydxdy By trapezoidal rule, ∫abf(x)dx≈h2f(a)+2fa+b2+f(b) where h=b-an…

Q: x^2 dx V1+x^3

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Q: What is the Antiderivative of du 2.

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Q: find the derivativa dy for the frurrtion y=x by using lagarithmic differatiation.

A: Given y=x5x Taking logarithmic both sides, lny=lnx5x implies lny=5xlnx

Q: The integral. 1 dydx is VÆ V10 – y3

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Q: Use (a) the Trapezoidal Rule integral 1to 4    cos  2  x dx                 with n= 8

A: Given Data The integral is . The number of intervals is n=8.   The function of the given integral…

Q: Find the particular antiderivative that satisfies the following conditions:…

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Q: Evaluate e* dx dy by using trapezoidal and Simpson's rules.

A: Hello. Since your question has multiple parts, we will solve the first integral by first method for…

Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: What is an antiderivative of **+2, x2+1 .. x + arctan x-5 2x +3 x + arccot x x + 2arctan x +1 A. D.

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Q: The volume V of a cylinder of height 4 cm and radius r is given by: = 4mr2 dV What is the…

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Q: Given: Sox?er*+3, dx. Using integration by parts Sucv = uv - Svau), and letting u= f(x), dv= 3 g(x)…

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Q: Evaluate | VF In(r)dx by using integration by part.

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Q: Evaluate e*y dx dy by using trapezoidal and Simpson's rules.

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Q: Find the following antiderivative: 4. /(arctan r) dx, by using the substitution u = arctan x

A: Find the following antiderivative by substitution method

Q: Calculate the following antiderivatives: (a) ∫x^2dx (b) ∫x^4/7dx (c) ∫x^-5sqrt(x)dx

A: To find the antiderivatives of the given function.

Q: Ven dy' j + z k B - yi + 4x ĵ + 3²Ê %3D 3. i x (6x マ×(Gx - マ(マ.) - v* つさ

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Q: Evaluate the integral: S S. 4 dx dy 0 y? 294 3 196 3 392 3 98 3

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Q: Evaluate the iterated integral. 2 6ze X dy dx dz

A: Evaluate the given iterated integral ∫12∫01∫0x56ze-x6dydxdz

Q: dx 6. (x² – 4)2

A: Given:

Q: (c) Estimate the following double integral: (x + y + 10) dz dy, D where D = {(x, y) | a² +y? < 4}.

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Q: Find the most general antiderivative. de sin e(cot e+ csc e) O sin 0 + C CSc e + cos 0 + C sin 0 + 0…

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Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, u is set as: Ox

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Q: Calculate the following antiderivatives: 12t 2t° – 2 dt = +C. (b) u9/4 + 5yū du = +C. dz = +C.

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Q: Apply Green's Theorem to evaluate the integral (4y² dx + 4x² dy), where C is the triangle bounded by…

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Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 s y s 2, y – 1sx s 1} 328 3.

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Q: Use Simpson's Rule e with n=10 Y: X Sin (x), OSXS 27

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Q: Evaluate the following iterated integral. 19 12y dx dy dx+y? 0 4

A: Consider the provided integral, ∫01∫4912yx+y2dxdy Evaluate the provided integral. Simplifying…

Q: Evaluate the double integral (1+ r² + y?)² dy dx

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Q: If r = (cost)i + (sin t)j + 2tk, find r × dr/dt.

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Q: Calculate the following antiderivatives: (a) ∫ 8t− 6t^6 −5dt =  +C. (b) ∫ 1/u^7/4 + 3.5 sqrt u du…

A: a) Given:       ∫8t-6t6-5dt  =∫8t dt-∫6t6 dt-∫5 dt taking constant out     =8∫t dt-6∫t6dt-5∫ dt…

Q: Show that given R: x € [0,1] ^ y € [0,2] 1133 3x²yexy dy dx = 6 R

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Q: J (V - 1) dx as

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Q: Evaluate the following iterated integral. 1 4 3y dx dy 2 0 1 VX+y 1 4

A: To solve the double integral first we need too solve the inner integral and then outer integral. Use…

Q: J (5x* – 10x + 12) dx

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Q: dx 4V3 – 7t x(9) = 8. %3D %3D %3D dt

A: Finding x from the given conditions.

Q: Sv? – 1),/y dy

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the iterated integral. 24 V576-y у dx dy 24 V576-y2 y dx dy = i

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Q: Apply Green's Theorem to evaluate the integral O(6y dx + 6x dy), where C is the triangle bounded by…

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Q: Use the specified substitution to find or evaluate the integral.

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Q: ( b). Je2cos (πx) dx .

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Q: x³ V 4 + x2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: V.r dx.

A: The given indefinite integral is: ∫xx-x23dx

Q: | V 2x dx J v2r

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Q: Evaluate the iterated integral. (8x – 8y) dy dx Exact number, no tolerance. (8x – 8y) dy dx = i %3D

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