13. Consider the integral | - dx then (which statement(s) is/are correct): x2 - 4x (i) dx : x - 4x In(x-4)-Inx]+C when using partial fractions 1 (х-2) 1 dx ==tanh -4x (ii) +C when completing the square 2

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A: To evaluate I=∫1xx+112dx...(1)

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Q: 13. Consider the integral | dx then (which statement(s) is/are correct) x2 - 4x 1 (i) -dx…

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A: Given query is to rewrite the integrand in integrable manner.

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

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

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Q: 4: A) Evaluate the following integral using partial fractions method: x*+2x +7 dx 2 x+3x + 2

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = dx -

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Q: 2.) Evalvate the Integral ودل أاد-ل (x² _33² dx, .3 2 by making w - x²-3 NOTE: Answer should be in…

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Q: 1. What should be A for the path independent of (2,4) xy + X -dx + 2Ay – x -dy. y? Y (1,2) Moreover…

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Q: Find the indefinite integral. 1. 16 + t² dt * (x² + 4)³/2 + 4)3/2 2. -dx-

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: Q5) Evaluate the following integral by using Partial fractions Method: x3 - x dx = J 2 + 1). (x -…

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Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: 1. Evalute the improper integral 3x dx. J ' 1+ x² -1

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Q: QUESTION 4 Integrate the following integrals using Partial Fraction method. 2.x-1 dx (x-1)(x-2)

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A: Given: I=∫5x-2x2-xdx For evaluating given integral, we use partial fractions So,…

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Q: 2 4 Q3) Evaluate the integral || xe" dy dx 0 x?

A: LetI=∫02∫x24xey2dydxchange the orderI=∫04∫0yxey2dxdyLet∫0yxey2dx=x∫0yey2dx∫0yxey2dx=ey2[x22]0y…

Q: dx 2- cos X 9.

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Q: 5 sin e cos ede 2. sin' 0+3 sin 6 -4

A: ∫5sinθcosθsin2θ+3sinθ-4dθ=5·∫sinθcosθsin2θ+3sinθ-4dθLet u=sin θ.=5·∫uu2+3u-4duBy partial…

Q: 2. Evaluate the following integrals using partial fractions. 1 (a) / dx (x – 3)(x + 1)² (b) / 6х? +…

A: We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫1ax+bdx=1alnax+b+C (a). Given:…

Q: 2x3 dx (x² + 1)2 4.

A: To evaluate ∫2x3(x2+1)2dx

Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

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Q: Use substitution and partial fractions to find the indefinite integral.

A: Given the integral ∫xx-4dxWe need to find the value of the integral by substituting and partial…

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A: Follow the procedure given below.

Q: dy Use 4th order Runge - Kutta method to integrate step size of h = 0.5 and an initial condition of…

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Q: 6X By applying partial fraction me aod, find tne integration : S dx. X2+4x-5

A: We will find out the required value of given integral.

Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

Q: 4. Evaluate the following integrals using partial fractions: (a) ft42 dr, dx, (b) S 10z da. I+4…

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Q: Consider the integral dx then (which statement(s) is/are correct) 2 -4X 1 (1) z In(x-4)-Inx]+C when…

A: We find the integral of ∫1x2-4xdx by using partial fraction and completing the square .

Q: Q#3: a) Evaluate the following integralS sec®x dx by using the reduction formula of cosine. b)…

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Q: 1. Compute the given integral. Using Substitution Method 5x-12 dx = +C 5x2-24x-1 *

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Q: 2. Use integration by parts to establish the reduction formula: Sx" cos x dx = x" sin x – n x"-1 sin…

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Q: Use the method of partial fractions to evaluate the following integral: dx X (x-+)

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Q: 1. What should be A for the path independent of (2,4) xy + A 2Ay – -dy y? (1,2) Moreover evaluate…

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Q: 25 2 8 5 cos (x²) 4Vz Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Consider the provided question, We have to find the integral ∫025∫02∫4y85cosx24zdxdydz by changing…

Q: Use substitution and partial fractions to find the indefinite integral.

A: To Determine: Use substitution and partial fractions to find the indefinite integral. Given: we have…

Q: Use substitution and partial fractions to find the indefinite integral.

A: The given indefinite integral : Let  I = ∫exe2x+1ex-1dx by substituting, t = ex dt = ex dx I =…

Q: Question 13 Which of the following integrals will require sum of partial fractions to evaluate? xdx…

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Q: 5: Evaluate the following integral using partial fractions method: x*+ 2x +7 dx x+3x +2

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Q: 1. What should be A for the path independent of (2,4) xy + A 2Ay – x du -dp y? dx + (1,2) Moreover…

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Q: Find the partial integral. (3х + 5y) dx

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