2x-1 dx is an improper integral 2-5x+6 Select one: O True O False

Q: In Example shown, explainwhy the same substitution wouldnot work as well for the integral

A: Let,

Q: dx Evaluate the integral V1 + 9x² 1)

A:

Q: 5. Evaluate the integral. 1-x² /2-x²-y² 1 dz dy dx Vx²+y²

A: Explanation of the answer is as follows

Q: dx Using half-angle substitution, the integral reduces to 3+ Scosx dz A dz B dz 422-1 2 dz D 322+…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: dx 10) The integral is equal to xv4x2 -9 A. sec-)+c c. Įsec-)+c D. sec-)+c sec

A:

Q: 4- 2x Evaluate the following integral : dx 2x +4,

A: The answer is π/3.

Q: (b) Evaluate the integral (i) | (2t+5) dt (ii) || 3x- dx 4 -2

A:

Q: 13.Using integration by substitution in f'æ° (x® – 2)*dæ ,what is du? O A (26 – 2)³ dx (xº – 2)dr…

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

Q: Evaluate the iterated integral. 8 9 10 / // (x² + y² + z?) dx dy dz -8 0 0 8 9 10 /// ? +x² + z²…

A:

Q: Evaluate the integral -7 dx Væ +1+ Vx + C

A:

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer. ○ 응z + 3z + C O 2x5 + 3x +…

A: ∫xndx=xn+1n+1+C , C is a constant and for any real number n.

Q: Evaluate the multiple integral -3 -1 -4 1 2 dy dz ix dy dz 24x-yz³dx

A: Given, ∫-11∫-4-3∫1224x2yz3dxdydz

Q: 00 cb The value of the binary integral is o Se-xy dxdy (where a,b is positive real constants)

A: Let I is the value of given Integral.

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: d) Evaluate the integral. 4 – |x – 1|) dx + -12 + 8х — х2 dx + —72 + 18х — х2 dx 2 12

A:

Q: Evaluate the integral. 1   0(3xe + 4ex) dx

A:

Q: S(2- sec?r) elnale sec'x sec( 3A – x) What should be the value of A for - dx to be integrable using…

A: The given question has been solved in detail and option C is the correct answer.

Q: -dx. Q5. Evaluate the integral / Tx² + 1)(X · x – 2)

A: Given  α=5 ,β=8 ,γ=13,λ=2 ,θ=5 , η=3 ,ω=2 . To rewrite the given integration by using α=5 and λ=2 .…

Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

A:

Q: 3. Evaluate the integral: (1) (u-2)(+3) du @[²7/1 dx (3) rπ/3 cscxcotxdx

A: Use the following formulas 1.∫xndx=xn+1n+1+c2.∫ cscxcotxdx=-cscx+c

Q: Evaluate the iterated integral I 13x+14y +20)dx dy. - 3 - 3 (3x + 14y + 20)dx dy = (Simplify your…

A:

Q: 16 Evaluate the integral f 2x (x2 + 7)º dx using the substitution u = x? + 7. %3D | 20 (2* + 7)" dz…

A: We need to evaluate the integral ∫2x(x2+7)16dx with the help of substitution. This can be evaluated…

Q: Q6. A: Evaluate the integrals: sec x dx dx 2) L, | VIn(secx+ tan x) -2 (4+x²)3/2

A:

Q: Evaluate the integral. 8+e-5x dx e6x 1 44 -5x +6 + C 30 O -8e-l1x(11e6x + 1) + C O .tel1x(88e5x + 6)…

A:

Q: Evaluate the integral. S- 1- 2x dx O A. -2/1- e2 +C O B. sec 1(eX) +c Oc. e* sin -1(e*) +c O D. sin…

A:

Q: dx Evaluate the integral: 3/2 64 – (9z)*|

A:

Q: B)Evaluate the integrals: i) √1-x2-x²-y² ii) -² ²-²-² dz dy dx. xe dy dx.

A:

Q: -5 1 7. a) For what value of a is the integralJ, dx improper? Explain. а х+2

A:

Q: ·S- A 4u B [4-(2u²) ² C) -du V 4u Ⓒ* D -du 4 For x 1/2 -dx and using the substitution u=x1/2, the…

A: We have to solve above integral

Q: yela-1)² dædy . Evaluate the following integral JACL 1+y?

A: Use change order of integration, change the order from dxdy to dydx. Also use u-substitution method…

Q: In the integration dx xV1-4ln*x What is the value of u? a. u = 4ln² x In x b. u = 2 C. u = In x² =…

A: Given: ∫dxx1−4ln2⁡x Let, I=∫dxx1−4ln2⁡x In integration of this type we substitute in such a ways…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p4 16-x2 16-x² x dz dy dx -16+x²+y?

A:

Q: Evaluate the integral. 2y dx dy -3 - 10 YA. 0 O B. - 864 OC. O C. - 576 O D. - 432

A:

Q: z? +2z+3 -dz Evaluate the integral (z-6)(z² +4)*

A:

Q: Evaluate the integral. b   a(8xe + 7ex) dx

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Evaluate the integral a"(2* – 8)** dz, 36 | by making the appropriate substitution: u = Je"(=* - 8)"…

A:

Q: c4 So So (6x² +9y²) dx dy

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. V64–x² ~80–a²-y² x dz dy dx -48+x²+y²

A: We know that integration of Xn is xn+1/n+1.     Here i attached the solution of this question.

Q: dx (a) Evaluate the integral using the substitution x In(4x) u = In(4.x). dx |+C %3D x In(4x) (b)…

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Q: dx 41. The following integral . (2x- 4) is improper

A:

Q: Evaluate S x(x + 2)2 dx by two methods: (a) Expand (x² + 2)? and multiply the result by x; (b) let u…

A: Given : integral of x(x² + 2)² dx

Q: Evaluate the iterated integral.   6   2   x 2ye−x dy dx   1

A:

Q: Evaluate the iterated integral. 2 2y (6 + 2x2 + 8y2) dx dy Submit Answer

A:

Q: (2х+ 3)dx (3х + 2) 3

A: We have to evaluate ∫-1302x+33x+2dx. Let substitute t=3x+2 Differentiate with respect to x,…

Q: 5 x Evaluate the improper integral: dx lo V4- x2 a) O20 b) O10 c) 05 d) Odiverges e)O15

A: Given the integral ∫025x4-x2dx.we need to evaluate the given interval.

Q: Evaluate the iterated integral. 7 2x x-2 dz dy dx -4 0 y 7 2x x-2 dz dy dx = (Simplify your answer.)…

A:

Q: The value of the integral Select one: a. 3 b. None of these d. / [1² 17/12 2y³ dx dy is

A: Evaluating the definite integral