2 3+1 (z2 + 4 )? dx. Which of the following is equal to the given integral? O x 3 +1 = Aæ + Ba? + ( 4A + C) x - 4B – D %3D O z³ + 1 = = Ar + B? + (4A C) x - 4B + D O not integrable O a3 + 1 = Aa + Bx2 + (4A + C) x + 4B + D

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A:

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A:

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A: Solution of the problem as follows

Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

A:

Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: A useful change of variables to evaluate || (3x+6y) dA over the domain space shown below is u = x+2y…

A:

Q: Calculate the double integral of f(x, y) = 48x over the triangle with vertices O = (0, 0), A = (3,…

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Q: Which of the following is equivalent to 5a + 4xª + 3² + 2 dæ ? Select one: | (5æ² + 4x + 3æ1+ 2x¯³)…

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A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: 2х + 3, х<I f (x) dx if f(x) = Evaluate 5, A 21 B) 19 28 D 16

A: We will evaluate both the integrals as following.

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Q: Evaluate the triple integral -6 (x – 3)³ (y + 13)² (z – 2)4 - dz dy dx 8 49 625 3 by using the…

A:

Q: x+2 السؤال الثالث: جد ناتج التكامل (x - 4y + y* z)dydxdzباستخدام التحويل v =, u = 4y – x, W =

A:

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A:

Q: Let R be the rectangle with vertices -1-i, 8i, 8+i, -1+i. Use residues to evaluate the following…

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Q: Find the indefinite integral z(3 +z) dz.

A:

Q: Evaluate the triple integral. [[[ 8x² dV, where T is the solid tetrahedron with verticies (0, 0, 0),…

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A: we have to find the length of upper half of the ellipse

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Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

A:

Q: 1 dr. (x² + c²)2 c) Evaluate the improper integral {a = 2, b = 6, c = 3}

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Q: a 3+ 1 S (z2 +4 ) dx. Which of the following is equal to the given integral? O not integrable O z +…

A: Given: ∫ x3+1(x2+4)2 dx To form a partial fraction which is equivalent to the given integral: