Solve the following integral using the integration by parts method. (i) |x² sin mx dx (ii) e* cos 3x dx

Q: 2- Solve the following integral with details .2n 1 ³ē"l40 cos² e r² dr sin0d0 ø do = x 32na X = ?

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Q: a) b.) O F+ x dx (x³ +1) ³ 3 Sinx sin 2x dx 2 cos x

A: 1. The given integral is ∫01x dxx2+13. W have to evaluate the given integral.

Q: Evaluate the following integrals using the required method of integration. Show complete, clear, and…

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Q: 1.Solve the following integrals: 1 = V36x dx 12 = " Sin (x)dx dx 13 = dx/x dx 14 = Si 1) 15 =f, 2 •…

A: This is multipart 1uestion having 5 x 4 = 20 subparts. As per company policy, we will solve the…

Q: B) Use the techniques of integration to evaluate. (Solve 2 only) 3) J tan-ty dy dx 2) (1– x²)5

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Q: B. Solve the following integrals. 1.) ²(x + 1)dydx

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Q: Solve the following integral using substitution method: X S. dx √x²-1

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Q: sin x dx 1. V2-cos2x

A: integration

Q: Q2 (a) Calculate each of the following integrals. sin 3 0 cos'e 1 S sin x(cosx)4 dx

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Q: Use MUPAD to determine the following indefinite integrals (7.1) (7.2) (2ax-x²)³ dx. S (7.3) Obtain a…

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Q: Solve the following indefinite integrals. coS X dx sin² x i) COS- sin dx - 2.

A: Integration is a method of adding several small elements to make up a whole. There are 2 types of…

Q: Q2: Solve the following integrals: ..... (2) ix-cos²x sin³x cos³ T dx; (3) dx (4) fxe dx

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Q: Evaluate the following indefinite integral. Use C for constant of integration. * cos(10x) + sin(20x)…

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Q: cos 2.x -dx 12. cos x 13. V1+ cos ydy 14 sin' 2xcos 2.xdx

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Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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Q: Q2. Use integration by parts method to evaluate the following integrals. 1. dx 2. S cos x? dx -dx 2…

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Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

Q: Solve the integral equation F(x) cos px dx =. [1-p,0sp 1.

A: Since you have asked multiple questions, we will answer the first question. If you need answer for…

Q: 1. Solve the following integrals: xp. 5x+3 а. b. S(3sec?x + sinx)dx

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Q: Q7. Solve the following improper integrals: 2x 00 dx (i) (ii) x* +1 (x² +1)2

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Q: * = cos(x + y), when x = 0,y = %3D dx

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Q: Solve the following integral by drawing the bounds of integration, reversing the order of…

A: The limit of the integration is  y = (1/2) x  to y = 2 And x = 0  to x =4 Now order will be revereto…

Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

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Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: Q1: Evaluate the following integrals by using a substitution to reduce it to sec X dx 1 standard…

A: We have to use substitution method.

Q: The integral of the given function | cos(9x) cos(5x)dx is equal

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Q: ii) sin5x cos*x dx

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Q: Q4: Solve the following integrals:- dx 4dx dx (1) S: (2) S sec xesin x (3) S x sec? x dx (4) S -…

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Q: Solve the integral: dy dx. x2 H/4

A: To solve: The integral ∫141∫x2xxydydx. Formula used: ∫xndx=xn+1n+1+C Here, C is constant of…

Q: Evaluate the integral. -1/4 S" 5 sin* 2nx dx

A: here we us the sine reduction formula to solve the given problem ∫(sinnx) dx=-cos(x)(sin…

Q: 3. Evaluate (using appropriate substitutions if necessary) the following definite Integrals. (a) ,…

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Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: 2 и…

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Q: Q4: Solve the following integrals:- (1) S x3-2x2 dx (2) √ √² √9-x² (3) [ xả sin xdx (cos-¹4x)…

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Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: 2. Using an appropriate method, compute the following integrals. dx x² + 3x + 2 (i) sin³x cos*x dx…

A: (i)

Q: 3) Solve the following integral by using order of hº Romberg integration: dx Also, calculate the ɛ…

A: Given:-             Solve the following integral by using order of h 6 Romberg integration:…

Q: Solve the following integral by using the Tabular Method. (a) x² cos 4x dx (b) sin 3x cos 4x dx 2.

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Q: find the Following integration ion:- o SCxX-++x)(x²-1) dx +4X 2) tanuł

A: Please post questions with multiple subparts separately.1) ∫(x4+4x)(x3+1)dxWe will first simplify…

Q: given 3 +3 dz where A J 2x+1 -2x²+X+) and B are integration. 2 and 1 Pespecti vely. Solve the

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Q: Vx* +4 dx 2 x +4

A: From the given integral: I=∫dxx2x2+4  ......(1) Use the trigonometric substitution to find the…

Q: cos5 0 sin 20 de

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Q: (a) Solve the following integrals. (i) (ii) x' + 3x? – 10 - dx x(x – 3)(x+1) Integrate er* cos (3x)…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: solve the following integrals:- dx |1-x² (1) J (2) Sx sinždx (3fdr (++x^)x^

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Q: Use the special or Bessel function to solve TWO from the following integrals In x 1. [ dx x* +1 2.…

A: It is given that

Q: 2 S(3x – 2)(x + 1) dx 1

A: ∫-123x-2x+1 dx=∫-123x2+3x-2x-2 dx=∫-123x2+x-2 dx Here, a=-1, b=2 & fx=3x2+x-2 Now,…

Q: Q4: Solve the following integrals:- 4dx dx (1) S: (2) S sec xesin x (3) S x sec² x dx dx (4) J 2+3x…

A: Using definite integral

Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: dx 1. S (2-3x)2 2. S V2x + 1 dx

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