4 7 7 Suppose Jto)dk = - 7. Jro)d = 2, and gwdx = 4. Evaluate the following integrals. g(x)dx = 4. Evaluate the following integrals. 2 2 ..... Jg(x)dx = - 4 7 (Simplify your answer.) 7 3g(x)dx = 12 2 (Simplify your answer.) 7 [g(x) – f(x)]dx = 2 2 (Simplify your answer.) 7

Q: 11. a) Write the integral of 1 / (9 + t²) dt from t = 0 to t = 2 in symbolic form, b) Then find the…

A: To write the integral 1/(9+t2)dt from t=0 to t=2 in symbolic form and evaluate the integral.

Q: Suppose ftowak= -4. Jtodk=7, and fawan=2. Sowx -4, f(x)dx = 7, and g(x)dx = 2. Evaluate the…

A: we can evaluate the given integral by applying the   following properties.     ∙∫ab fx  dx=-∫ba…

Q: _11. What is Sdx? A. +C B. +x + C х-1 C. c. ++ 2x + C x(2x2+3x+6) + C x3 D. _12. In solving S th dx,…

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Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: (2ах + b)А + В dx. The form of decomposing a single irreducible quadratic factor in agiven integral…

A:

Q: 1/6 16 14. Evaluate the integral dx. o V1-9x² 16 8. 8. b. 16 4. d. пе. a. 25л л с. 9Tt 25 9Tt 3 12

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Q: 4. .2 + 2x) cos(2x) dx

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Q: 15х2 — х3— 43х - 19 The integral | can be rewritten as (x + 1)²(x² – 6x + 13) Ах + B C D lax² + bx +…

A: Follow the procedure given below.

Q: 9. Evaluate the integral J 4x2+9 1 dx

A: We can solve the integral as below.

Q: 20 In evaluating x(2x+5)8dx you use the u-substitution u=2x+5. After doing that, which of the…

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Q: Q6) Compute the integral 3 1 dxp -з (х +2)3

A: Here we solve the given integral.

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

A:

Q: 3. Evaluate the integral. (a) -2/3 dx

A: Evaluate the integral

Q: 3. [20 points] Calculate the integrals: (a) (b) |(2+ 4)(2r – 1)dz (c) (d)

A:

Q: 2 1. Find the indefinite integral. Sáre 4x2 | 6xe dx 3 4x a. 2 3 4x2 +C c. 4&r°e*x*+C 2 4x2 +C +C b.…

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Q: Evaluate the integral. 3 3 4t i- (5)j+ V1+t k dt (1+?)? 9 O A. 6i - 45j + O B. 31-45j + 9. O C. 6i-…

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Q: (a) Evaluate the integral ſ x e2x çdx (2x+1)²

A:

Q: 4. Use residue theory to calculate the following integrals: 3x (a) P.V. · Loo (2²+49) (2² - 2x + 5)²…

A:

Q: 4 Evaluate the iterated integral (2x + y)2 d 3.

A: we have to find

Q: - 12 1.2 D³ - 8 {cosh 2x}

A:

Q: Evaluate the integral. 36-² 1 [²+² -√36−x² (x² + y²)¹/2 dy dx dz

A:

Q: Evaluate the integral. S. 3n/4 -8 csc 2 x dx T/4 Select one: A. 16 В. 8 C. 0 D. -16

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Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)…

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Q: 15x²x³43x - 19 7. The integral (x + 1)²(x² − 6x +13) can be rewritten as C D Sax ² Ax + B +…

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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: Evaluate the integral. 7 7 √49-x² ILL 1 /49-x² (x² + y²)1/2 dy dx dz =

A:

Q: 10) Evaluate the integrals by substitution 2 -dxp 3 -2 (x² + 2)° a)

A: We have to evaluate the integrals by substitution method: ∫-22xx2+23dx Assuming, t=x2+3 Then…

Q: 10. Find the integral of dx x²-4 O In() + C x-2 O In() + C 2x x+2 O fIn( *2) + C X+2 O In() + C x+2…

A: *using concept:- 1. Partial fraction. 2. int(dx/x) = ln(x). 3. ln(m) - ln(n) = ln(m/n).

Q: 1 Suppose we perform the substitution u=3+vx in the integral dx . (3+vx)4 What is the resulting…

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Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

A:

Q: 10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

A: We need to evaluate ∫3y6-4y-3y7+14y-2-76dy                          (1) Let y7+14y-2-7 = t On…

Q: 2. 36 +x* dx =)

A: We have to solve

Q: 3. 2 1 What is the value of the integral 7xyz² dxdydz ? 0.

A:

Q: 6. Evaluate any 5 of the following 6 integrals. 1 dx 2+1 dr gª +1 (a) (b)

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Q: Evaluate the iterated integral. 6 7 8 /// (x² + y² + z²) dxdydz -6 0 0 6 7 8 (x² + y² + z?)dxdydz i…

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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: 12 3 3. Evaluate the integral ||xy (x² + xy + yz* kixdydz . ху 0 0 1

A: We have to find the value of the given triple integration

Q: Given: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (*):- ... 5/7…

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Q: 8. The value of the integral 2[x] 1o sulsV ar 3x-[x] dx, where [] denotes the greatest integer 2[x]…

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Q: [4] 5. Use the fact that 1 +C 4e2r dx = 2e2 to either evaluate the improper integral 2 dr, or show…

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Q: Evaluate the integral. 1 8 dt V15-21-? - 1 OA. 6 В. O C. 4 D. 3" O D. co fm

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Q: 3t e"dt 2 (1+4e3

A: Let's integrate.

Q: Evaluate the integral. 2 [ 11t sec-'t dt 2/√√3 2 S 11t sect dt = [ 2/√√3 (Type an exact answer,…

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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: 2 Evaluate the definite integral Зх + 4 dx 11 5 17 17 2 ךי" יזנ 3.

A:

Q: 23: Evaluate the integral of ſ (5y+7) 5 dy

A: