xdx 4 The integral of -25 – 8x – r2 S,A + In B + C. 3 Determine the following. The value of A if x = 0* 5 p

Q: Q2 – Evaluate the following integrals ii. ((23*e-*)dx

A: Given integral, ∫23xe-xdx

Q: 3 1. 2y2/3

A:

Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

A:

Q: 15x²x343x - 19 The integral (x + 1)²(x² - 6x +13) can be rewritten as Slax [ax² + bx² + c + (mx +…

A: The objective is to determine ∫C(mx+n)t

Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: 10. Evaluaté the following integrals (b) J3 -6a+13 1 (a) S x²+1 -0 x4+1 ;d.x

A: We can solve this using partial decomposition and using integral

Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

A:

Q: ₁√x³ √4-x² dx. if we let z = √√4-x², which of the following integrals is correct using rationalizing…

A: The given integral,        ∫x34-x2dx

Q: Find the integral. X. dx 6 6 7 A. -x 7 1 O 2x2 7 OB. – 2x-2 +c .3 Oc. C. - 3x -2 +c

A: The explanation of answer as follows

Q: S 1 Solve the integral: √√√X = n/1+x²³²|+c A C {/in/1+x²³ | +c B © 6n/5+x²³²|+c C in/1+x³| +c D X +…

A:

Q: (ii). 3x3+2x? –3x+8 Ax? + Bx + C x+2 A= B= ,D= and hence find the value of the integrals За-5 dx x-1…

A:

Q: Q.1) Evaluate the following integral ez (2e2r - 4e – 1)

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Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

A:

Q: The particular integral of (D – 10)10y= e10x is 10! e10z Yp z10 10 Yp = ()e10z 10! Yp = ( )e10z O…

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Q: xdx 1. Find the integral (x+2)3 a. -l +c b. l x+1 а. L(x+2)²! x+1 + C L(x+2)2] x+1 + C |(x+2)3_ с.…

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Q: 7. Evaluate the definite integral. (a) L (3x+4) dr (b). V2r +1 (c). 1+4x

A:

Q: II. Evaluate the following integrals 2x 2. S -dx 2 5+2x+x 2

A:

Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

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

Q: x²dx Evaluate the integral x6 +1 O A. 12 O B. 6 OC. 2 D. 3 O E. 4

A:

Q: dx 4. Find the integral 2-1)3 In ()- in (-+C (x+1 + C 2x2-2 a. r-1 x+1 b. x-1. 2x2-2 C.-In 4 + C…

A: We will solve the integral using partial fraction decomposition method. Factor the denominator:…

Q: The value of the integral Select one: b. None of these 5 4 d. / c. [ [²x² 7/2 x²y³ dx dy is:

A: This is a double integration problem

Q: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20

A: Topic = Integration Correct option = B

Q: (2) Find the integrals: x² 2 • S √36x² dx

A: Given ∫x2 36-x2dx

Q: Q.1) Evaluate the following integral (2e2-4e-1)

A:

Q: 6. Evaluate following definite integrals: S(3x2 +2x – 2) a. b. (3x + 2VA)

A: Given  a)∫15(3x2+2x-2)b)∫49(3x+2x)  Let us evaluate the first integral (a)let…

Q: 3ln(x-2) d.x. 3. Compute the integral / 5(x – 2)

A:

Q: 2 Evaluate the definite integral S: 1 dx. 1 x+a2 ter -17 a- 19

A: solution:

Q: The Particular Integral for (D2 + 5D + 6)y = e3z O None O Yp 30 elz O Yp O Yp =

A:

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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Q: 3. Find the following integrals. Sdx dx 3x-1 a. b. x2+5

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Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: 6. Evaluate the integrals So (x² +1) e-* dx a- b- Sx2V2 + x dx

A: Given :(a) ∫01(x2+1)e-xdx(b) ∫x22+xdx

Q: (7x-5) The following improper integral J ca+3)(x²-x+1)

A:

Q: The particular integral of (D – 10)"y= e10z ; 10z 3p= (끓)e10z O None of the choices Yp = ()e10z Yp =…

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Q: (4) Recall the formulac: (5) Find the integrals: • ftan² (x) dx t: Is ta SC

A:

Q: 8x dx Evaluate the given integral: S; 4x2-5

A: Here we have to evaluate I=∫8x4x2-5dx

Q: Evaluate the integral. -20e* – 42 e2x + 5ex + 6

A: To Determine: Evaluate the given integral

Q: (3x2+2) dx The integral Jx+1)(x-3) -- +C Select one: O None In|x+1|+2 In|x-3| 4 29 0 3x-위mx+ 1|+부…

A: Solved below

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

A: Consider the given integral.

Q: dx 2. Find the integral x²(x+1) In (***) + C b. In (***) - +C 1+ C c. In (***) ++ c d. None of the…

A: Here we have to find the integral

Q: - 03. Evaluate the following integral: (1 – x - 4x + 2x)dx -2

A:

Q: ー2X 2 e Evaluate the integral 4え |

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Q: Q(1) Find the integral of Vx² – 16 dx

A: Use substitution method to find its integration.

Q: 6 6 iwen ["r*dz = 320, x³ dx x dx 16, dx = 4, evaluate the following using properties of definite…

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Q: e 2x Evaluate the integral of e* +1 xp-

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Q: 11. The integral of an(In|4x-12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. 2 С. 4 D.

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Q: 1 (x² +a) b dx is In 5x The resulting integral of +eTan-1 + C, where a, b, d, and e are integers. x³…

A: Given:∫5xx3+x2+4x+4dx= ln⁡x2+a1bx+d+eTan−1⁡x2+C Let, I=∫5xx3+x2+4x+4dx ⇒I=∫5xx2(x+1)+4(x+1)dx…

Q: x3+10 x3-2x²+5x f are integers. What is the value of b? X-e The resulting integral of J dx is ax + b…

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Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

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Q: 4tan -(x) 00 The integral dr is equal to 1+x² O A. 472. O B. 272. Oc. 2 O D. . E. None of the given…

A: