3. Sx²(5 – 3x³)'1ºdx (by substitution)

Q: 5. dx

A: Given integral ∫-234x36-2x3dx The objective is to evaluate the integral.

Q: Determine the following indefinite integral.

A: First we separate the integral.

Q: | x In(x) dx

A: The detailed solution is as follows below:

Q: 4. Sx 2* dx

A:

Q: 6x(a3x*-1) dx 4.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: tid Q3. Evaluate the following integrals 1) cothx.csch2x. dx (50-3x - √x+1+73 44x

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Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas…

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Q: Evaluate/Find the following integrals. 3 + 13 2. S 8x 4x + 8x -dx- 3 + x + 2

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Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: y3 – y-2 dy y?

A:

Q: 1. (a) Without using a calculator, determine the following integrals: 8.x dr3; (1) 2+8r- 9 (1)/ (ii)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: -1 tanx 4. 1+x?

A:

Q: Determine the integrals of the followings: (i) S(3x2 + 5x/2 +- )dx (ii) (20 + sec? x) dx 10 20 +…

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Q: Evaluate the following integrals : 1 Vsin'xsin(x +a)

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Q: Q1 - Evaluate the following integrals i. Sxe-*dx

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Q: 82y*–3y° (y² – y) dy (1y² – y) dy

A:

Q: Evaluate the integral below. 2 x(r – 1)15 dr

A: ∫un du = un+1n+1+C

Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: Evaluate the following integrals, where the coefficients 4,B.C, are the last three digits of your…

A: First will be right answer.

Q: an integral involving v36 – 25x²

A:

Q: 2. dx 1+√√x

A: integration

Q: 2х 3 2. Ver + 2 dx

A:

Q: 4x3 – 3x dx 14 — 2л2 + 5

A:

Q: Evaluate the following integrals by first reversing the order of integration. 8 2 √° ²₂ √² + 1 dr dy…

A: Given Integral, I =∫08∫y1/32x4+1dxdy and the region of integration is, 0≤y≤8 ,y1/3≤x≤2 Graphically…

Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

Q: 3. (2x+6)*dx

A:

Q: 1. fese -Se- Side 2 f-ar +9' + de-de

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Q: -2e x2

A:

Q: Use symmetry to evaluate the following integrals. 1. 10 A00- 2. (1-1피)dr

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/√x - 2

A: Given Integral is., I=∫xx-2dx

Q: SIxe3*] dx (by parts) 4. 5. 2 }dx 6

A:

Q: Evaluate the following integrals.

A: Consider the given integral ∫016dx1-9x2

Q: 2 S²₁ (x² x) dx ,

A: To find out the integration.

Q: 1. dr

A:

Q: 2(x*) dx

A:

Q: 16z(2r² + 1)°dr

A:

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√(7 - x2)

A: Given integral, ∫dxx7-x2we have to evaluate the given intewgral;

Q: 5. Jxе2x dx

A:

Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/(2x + 3)3/2

A: ∫x2x+332dx Put, 2x+3=t⇒21+0=dtdx⇒2 dx=dt⇒dx=dt2

Q: 4. 3x

A:

Q: |(3x3 – 2x² + 1) sinh 2x

A:

Q: 3.

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Q: Evaluate the following integral by appropriate method: L, V2 + lx[ dx

A:

Q: 1. (x² – 4x +4)x

A: Given:       ∫x2-4x+443dx    =∫x-2243dx     =∫x-283dx  substitute u=x-2→dudx=1→dx=du        =∫u83du

Q: (2x - 3x +1 2x2 -3x +1 x' + 2x?

A: Given, The integral ∫2x2-3x+1x3+2x2dx  We have to evaluate the integral.

Q: L'²₁ (r + 1)² dr

A:

Q: (2) Jr-3)(x-2) 5x -13 dx

A:

Q: Use symmetry to evaluate the following integrals. r10 -10 200- 1 2. (1-1피)dr 1.

A: Detailed solution is given below.

Q: +5x² -6x* + 4x_

A: