Use the value of the first integral I to evaluate the two given integrals. 3 | - 27 (x3 - 6x) dx = %3D 4 3 | (36x - 6x°) dx |(6x -x°) dx а. b.

Q: What is the value of the definite integral 4x – 3 -dæ? dx? 1² – I 2

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Q: Evaluate the following integral.

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Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: Q1 - Evaluate the following integrals 2x+5 i. S- dx x²+3x-10

A: We will break it into two parts.

Q: -x + 2 dx . x2 + 2x ate the integral

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Q: Solve the two items using Integration by parts. 1. (x' V9-x? dx

A: Question - 1:- Given: ∫x39-x2dx Formulas used: ddxxn=nxn-1ddxconstant=0ddxfgx=f'gx·g'x        Chain…

Q: (b) Which of the following integrals is equal to –2+ ln 2? (a) 4 dx 4 (b) dx x² (c) / 4x dx x2 4 dx…

A: To find which of the integrals is equal to -2+ln2 (a) ∫12x-4xdx(b) ∫124-xx2dx(c) ∫12x2-4xx2dx(d)…

Q: - 23 L f(2)dx = 11 - 82 and - 23 L g(z)dæ = 30 82 and – 23 h(x)dx = 25 - 82 | what does the…

A: Given ∫-82-23Fxdx=1 -1          ∫-82-23gxdx=30-2          ∫-82-23hxdx=25-3We find…

Q: L'-1 f(x)) dx = 7 then the value of the integral f(x) dx is given by

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Q: The integration by parts method can be used to evaluate f 3xe3* dx. After correctly choosing u and…

A: According to our terms and conditions I have solved first question for next question repost

Q: Q2) - Evaluate the integrals: V16-x 2. 3. SA dx 4. S Vx2 +1 dx dx

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Q: x1/2 dx x3/4 + 1 Let x = z8 dx = 8z7dz Is the substitution the most appropriate one? Explain your…

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Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: Q I find integrals 3-2X 2 +4X dx

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Q: Question and its 3 parts are attached with this.

A: a) we substitue 9-x^2=t

Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Evaluate the integral. 4 dx (x – 4) (x – 1) | (Use symbolic notation and fractions where needed. Use…

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Q: The integral 1 = [(x* + 5e* + vx )dx is equal to:

A: Given integral is∫x4 + 5ex +x dxevaluate....

Q: Q2) Evaluate the integral x dx a -0.

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Q: 3. Evaluate the integrals: e2x dx x2 е. 3 f. Si tan(2x) dx 3

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Q: For which of the following integrals would the substitution method be effective? dx x² + 1 æ/1+x² dx…

A: Among the given options, Substitution can be used in both 1 and 2 but in third one the product rule…

Q: (a) 18 d.x x² – 49 (b) 20 1 - dx 2x2 – 72 (c) 6. - dx x² – 4x – 5

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

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Q: 2. Use the substitution u = x² and then Integration by Parts to evaluate / x³e**dx.

A: Given: ∫x3ex2 dx We substitute u=x2, that implies du=2x dx. By using this substitution, ∫x3ex2…

Q: II. Find the value of the definite integral xV[a2 – 9| +7 dx 0.

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Q: Q2/Find the value of the integral dx 1+x² by using simpson method (n = 6)? 3

A: Find out the value of the integral using the simpson 1/3 method.

Q: Evaluate the definite integral. 10x dx 19+5x2 Select one: OA. - 2 1 + 6 B. 14 2 2 C. VT - 3 D. 2/T -…

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Q: Evaluate the integral. 4.x V1 - x2 dx = 0. NOTE: Enter the exact answer.

A: Given: I=∫014x31-x2dx  ...1 Using substitution method to solve the given integral. Let,…

Q: 9. Use integration by parts to show that pP+1 ]n°(x) |aP In°(x) dx p+1 p+1

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Q: refer to f -3)dx x-2 What will be the answer when the integral is evaluated? Show your solution…

A: Integration of the given integrand x2-3x-2 can be found with the help of the division algorithm and…

Q: You are told that Lif(x) dx = 9 and /, 8(x ) dx = -2. what is the %3D value of the definite integral…

A: To Determine: what is the value of the definite integral∫-173fx-4gxdx Given: we have ∫-17fxdx=9 and…

Q: 72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n -…

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Q: 2+2i What is the value of the-integral·I = S(z2 – 1)dz?1 1+i

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Q: 02:- By using integration by part, find :- (Choose two only) 1- Sxe-* dx 3-S(1+ x²)e¬*dx 2-f Inx…

A: As per the company guideline's we are supposed to answer first question as mentioned by the…

Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx

Q: x³ dx Using integration by parts to solve f √4- and letting U = - then v = f(x) is

A: Topic:- function and integration

Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: x + 1 The integral - dx has a number of fractions equal to: x (x – 1)³ (2× + 1) Select one: а. 3 b.…

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Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: Match the definite integral to the correct evaluation. 9. S12/xdx 4 9. 180 xp- A. 152 4 В. 340 С. 25…

A: TO FIND THE FOLLOWING DEFINITE INTEGRAL 1 ∫4912X dx 2 ∫4  9 180x2 dx 3 ∫056x2+10x-7 dx 4…

Q: Given that 1 dx = and x2 dx = , compute the integral. x dx = 4 2' 3' La - 20?. (1 – 2x)³ dx

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Q: f(x) dx = -3, f(x) dx = 8, and g(x) dx = 8, find the following integrals. If 1. f(x) 2. + 6] dx =

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Q: Can i get help step by step with this problem?

A: Separate the integrals.

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: dx 3+Vx+2

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Q: Evaluate the integrals dx Så (4-x²)²

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Q: Evaluate using integration by parts o D (x²-3) e² dx е

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Q: In order to evaluate the following integral :-√2+√7 COS-¹ (v cos-¹(√x) dx we first use the…

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Q: Q1-Evaluate the integral 2х — 5 dx - х2 — 5х + 1 3

A: Here I am attaching image so that you understand each and every step.

Q: Evaluate the integral /2 I = dx. Hint: If you need to evaluate ſe² dx, don't! Try a slightly…

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