Jp-1(x) – Jp+1(x) = 2J,(x), %3D

Q: x+8 Evaluate using partial fraction decomposition. dx (2x +1)(x – 2)´ -

A: Consider the given integral

Q: Using partial fraction decomposition, S7 1 (3-x)³(2-x) dx is equal to:

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Q: 1 3. S (х+1)(x2+4)2 dx

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Q: Using decomposition into partial fractions, 3x2 + 2 dx J x(x2 + 2) is equal to

A: The objective of the question is evaluate the indefinite integral using decomposition of partial…

Q: x+5 Evaluate dx using Partial Fraction Method. (x³-2x²-3x) 2

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Q: xcosydx+(x+2cosy)^2sinydy=0

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Q: 2x 5. Evaluate dx using partial fractions. х? — х — 2

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Q: Integrate [- x² – x+2 x' -1 dx , you will need a formula from algebra O. Use Partial Fractions.

A: given, ∫x2-x+2x3-1dxwe have to integrate by using partial fraction

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: (16x y² exy + y sec² (xy) - 2x + 3y) + (16x² y e4xy + x sec² (xy) + 3x)y' = 5

A: Let us consider the equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution of the…

Q: 2x+3 = Use partial fraction decomposition to find: dx. (x – 4) (x + 3)

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Q: x + 174 Evaluate dx, by expressing (x – 8)(x + 9) the integrand as the sum of the partial fractions.

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Q: x² +7x– 5 Evaluate dx by partial fractions decomposition. (x+2)°(x-3) x +

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Q: x²+x-2 J (x2–1)(2x-x²) dx can be resolved into dx dx. + DS x-2 dx dx.. A x- х-2 dx x+1 x+2 - dx do.…

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Q: х4+8х2 +8 dx e. х3-4х

A: Explanation is given below....and solve the integration

Q: x + 4 dx x² + 2x + 5

A: ∫x+4x2+2x+5dxx+1 is a scalable factor of x2+2x+5, so divide x+4 by x+1=∫x+1x2+2x+5dx+∫3x2+2x+5dx

Q: x2-17x+40 Find the indefinite integral dx using partial fractions- (x+3)(x-2)²

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Q: x +1 Integrate dx, use partial fraction method (2- 1)2 (a – 2) 3 In(x – 2) – 3 In(a – 1) +-2 +¢

A: Given that: ∫x+1(x-1)2(x-2)dx

Q: 8. (x² + 2xy 4y²) dx - (x² - 8xy - 4y²) dy = 0. ANS. x² + 4y² = c(x +

A: A homogeneous differential equation is given by, x2+2xy-4y2dx-x2-8xy-4y2dy = 0. The objective is to…

Q: x -x-1 dx Use partial fraction decomposition. '(x+5)(x° +4)

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Q: 5x -3 Evaluate the integral (x+1)(x-3) dx using partial fraction

A: We will evaluate the given integral using partial fraction method.

Q: dx (2х — 5)10 Integrate -

A: We have to solve the given integral : ∫x(2x-5)10 dx = ?

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

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Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

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Q: #2 du = Ixlux dx 3 13 x 3 dx dv=lnx dx V= x/nx-x Distribute clnx-x). = (1+x) (x I^x-x) -…

A: Using Integration By-parts formula

Q: Exact method 1- (6x2 + 4xy +y²)dx + (2x² + 2xy-3y2)dy = 0

A: Exact differential equation

Q: x² +1 dx -2 (x+2)' Integrate using partial fraction:

A: Definition used -  Partial fraction -       Using partial fraction we can write a complex fraction…

Q: 3. Integrate f 10(x+6) x² + 3x-10 2 dx by using partial fraction.

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Q: 5x-4 (x²+4)(x+2) Evaluate S dx using Partial fractions.

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Q: 3x - 7 valuate the integral (x - 3)(x - 2)ª dx

A: The question is taken from the calculus in which we have to find the integral of given question We…

Q: x² +1 dx -2 (x+2)* Integrate using partial fraction:

A: First, use the partial fraction decomposition to rewrite the expression, x2+1x+23. The expression,…

Q: 3x+4 3). S; (x2 +4)(3-x) dx (Integration by Partial Fraction)

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Q: Use partial fraction decomposition to integrate the given function  ∫x+6/x(x+2) dx

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Q: dx -√(x²+36)3/2

A: This question can be solved using the concept of integration by substitution.

Q: 3x + x-10 OHence, evaluate dx by first expressing the integrand as sum of partial x2 +4x+4…

A: Explanation of the answer is as follows

Q: х-11 b. S- dx x2+3х-4 2x-+х-4 dx| х3-х2-2х С.

A: Consider the integral  b)      ∫x−11x2+3x−4dx ∫x−11x2+3x−4dx=∫x−11x+4x−1dx Now use partial fraction…

Q: arctan (Vx) dx

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Q: 1) Create your rational function such that you can use both log rule AND partial fraction…

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Q: 2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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Q: 3x+1 Evaluate the integral -dx by the method of Partial Fractions. x² +3x+2

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Q: 4- (x2 + y2 + x)dx + xydy = 0

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Q: ODE (3x-2y+1) dx+ (3x-2y+3) dy=0

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Q: x2+1 dx -2 (x+2)' 4. Integrate using partial fraction:

A: Integrate using partial fraction :          ∫-22x2+1x+23dx

Q: x + 4 dx (x² + 2)(x² + 1)2

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Q: Integrate the function. 6x2 + 25x - 15 dx X(x- 1)(x+ 3) x(x-1) + C (X+ 3)3 ,5. O A. In О В. In x°(x-…

A: Integration

Q: x2 + 2 a partial fractions decomposition to evaluate -dx. J (x – 1)(x – 4)(x+ 2)' -

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Q: 4- (x2 +y2 + x)dx + xydy 0

A: Differential equation

Q: 6. Use integration by partial fractions to integrate the following, show detailed solution b) -dx…

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Q: x + 118 Evaluate dx, by expressing (x – 9)(x + 8) - the integrand as the sum of the partial…

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Q: 4x3-х dx х2-х-30

A: Solving the problem by finding the value of the integration.