x3 + 3x + 1 dx| J (x + 1)²(x – 2)² Find A, B, C, and D then find the integral?

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A: Given : ∫1π∞sin1xx2dx

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Q: Зx2 + x + 31 Вх + С + x2 +9 A (x + 4)(x² + 9) x + 4 A = B = С - Now evaluate the indefinite…

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A: topic - differential equations

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A: Integrate to obtain the value of constants.

Q: 8. X -dx. Evaluate the integral / (72 + 1)( 2· x – 2)

A: To Evaluate:

Q: Зx? — 2х — 4 A dx using В C | Evaluate the integral x3 – x2 – 4x +4 - 1 x+2 х — - 2 3x2 – 2x – 4 dx…

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Q: b) Performing the substitution yields the integral c) Once we integrate and substitute, the final…

A: We can solve this as follows:

Q: X-2 dx Evaluate the integral: Sein(x²+3x-7) A x²+5x+In|3x-6|+C B ++ In|3x-6|+C 2 5 © +²2+5x+In/x-21…

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Q: Find the indefinite integral. x + 7 √x² + 14x5 Step 1 J To find the indefinite integral dx x + 7 x²…

A: Topic = Integration Fill the blanks with   du = (2x+14) dx

Q: a. Evaluate the integral ∫ (4x2 + 2x -1) / (x3 +x2)  dx b. Evaluate the integral ∫ x3  /…

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Q: V9-4x2 The integral of the given function f dx is x2 -V9-4x2 а. 2x Arcsin + C -V9-4x2 b. 2x 2Arcsin…

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Q: (2x - 5) 2 What should be the rewrite of the integrand of -dx so that the resulting integral is…

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Q: x - 7 dx. /x². Evaluate the integral 2

A: Answer and explanation is given below..

Q: [CLO-2] Evaluate the improper integral. 8 √₁² (0-²x + ₁ 72² 2² ) ₁ dx 1 1+x²

A: Follow the procedure given below.

Q: definite integral* (b=10) (a=0)   ((10e^-x)*((x^3)+(2x^2)-3x+1)) dx

A: definite integral.. I=∫01010e-xx3+2x2-3x+1dxI=10∫010e-x(x3+2x2-3x+1)dxintegration by part…

Q: x² – 1 -dx x2 Evaluate the given definite integral: A) 2/3 в 3/2 2 1/2

A: Solving the problem by the method of definite integral.

Q: *definite integral* (b=10) (a=0)   (10e^(-x))((x^3)+2(x^2)-3x+1)   dx

A: Our aim is to compute the integral of the function given below:- ∫010(10x3ex +2x2-(3x+1))dx…

Q: V9-4x2 The integral of the given function dx is x2 -19-4x2 а. 2x ArcsinA + C -V9-4x b. 2x - 2Arcsin…

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Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx…

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to…

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Q: Q2/ Evaluate the integral , te-2t dt

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A: Cauchy integral formula

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Q: 6x -dx. Evaluate the integral (72 + 1)( 2· x – 2)

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Q: 2x3 + x2 + 4x+ 29 dx. Evaluate the integral: (x² – 2x + 1)(x² + 2x + 9) -

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Q: Fourth Question: Find the general Integral of the given equation (D; – 4D,D, + 3D3) = /x+ 3y

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Q: 2.x+5 -dx integralini hesaplayınız. (x-1)(x+2)

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Q: b b-a b-a Use the equation f(x)dx= lim 2 fa+k- to evaluate the following definite integral. n→0 k =…

A: Given query is to find value of the integral.

Q: 30x 2. (a) Use a suitable substitution to find | - =dx. V1-2x (b) Use Integration by parts to show…

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Q: Зx2 — 4х — 9 A + х — 2 Evaluate the integral J x³ – 2x² – 9x + 18 dx using + х — 3 x + 3

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Q: n 1 ² Σ (sec (2 + ²) - 2 (2 + ² +)) - nxn i=1 3. Express lim as a definite integral, f(a)da.

A: This is a integration problem

Q: dx a) Evaluate the integral / z In(4x) using the substitution u = In(4x). dx x In(4x) +C b) Evaluate…

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Q: f(x) = х — 2 36 35 x-1 what is the X - 1' smallest integral value of x that gives an integral value…

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Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. Evaluate the integral: (x² – 1 + x)dx

A: As we

Q: •3 4 - dx 2x ... Evaluate the given definite integral using appropriate substitution: A 8ln(5/3) B)…

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Q: x3 dx Using integration by parts to solve J- V4-x2 and letting -÷x², then v = f(x) is U = - %3D

A: We use integration by parts

Q: sin20 B)Evaluate the integrals: i) f/2 inzerdrde, ii) ¹/2 ¹/² finx ₂² siny dz dy dx . 0

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Q: Evaluate the integral / (x² +z=3) dr.

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A: (b) The objective is to evaluate the integral

Q: 3x2 + 5x + 123 A Вх + С (x – 2)(x² + 25) х — 2 x2 + 25 A = В - C = Now evaluate the indefinite…

A: Partial fraction and Integration

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Q: 7. Use integration tables to find or evaluate the integral. (Use C for the constant of integration.)…

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Q: Evaluate the integral. [1,7],  (ln(x))2 / x3 dx

A: Integrate normally

Q: 9. Using integration by parts to establist the reduction formula for S(Inx)" dx dx 10. Solve this…

A: solution:-(9) ∫(ln x)n dx integration by part∫uv dx =u∫v dx-∫dudx ∫v dxdxapplying this we get;∫(ln…

Q: e): -15x(x - 2)'dx

A: