Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx x +2x² + 2

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

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Q: 1 y dxdy Vy-x² 0. y

A: To solve∫01∫yy2dxdyy2-x2

Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

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Q: Question: 2 dx a) Evaluate the integral by completing the square and using a substitution , -6x+10…

A: Given: (a)∫242dxx2-6x+10(b)∫1ex4lnx dx

Q: b) (x-1)3 1 dx = ?

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Q: Evaluate the definite integrals -3 a) dx b) 1. 2 c) dx d) x² dx da

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Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results…

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Q: Given ∫(2x5+x3+6x−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Tπ L2 sin3xdx Tπ 4

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Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

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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.…

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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: dx Solve the integral: 1

A: Integrated by using complete square

Q: Evaluate the integral I = x³ e dx. Hint: If you need to evaluate f ea dx, don't! Try a slightly…

A: To find:-

Q: x²e²³, dx

A: The given integral

Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: 2T CSC X cot x dx

A: We have to solve the integral: ∫π32π3cosecx cotx dx We know the formula, ∫cosecx cotx dx=-cosecx+C…

Q: Q2: Solve the following integrals: (3) dx

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Q: 3 sin (T|3 – 2x|) dx

A: The given integral,   ∫03sinπ3-2xdx

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

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Q: x² 2 :(a² + x²)ž + C 3 15 1 |x*(a² + x?)¿ dx = -

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Q: dx What is the result of integral ? le xln³x A) B) o C) D) – o

A: Use the substitution for Lnx=v

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: Note: "According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: dx - Evaluate the integral : o using residues and any other method which can be applied to solve…

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Q: dx Using an appropriate substitution, the integral V-x-6x+40 is equal to: (Complete the square, if…

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Q: csc? (2x) dx 1 + 5cot² (2x)

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Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: xV|x² – 9| + 7 dx

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: We have to evaluate the integral by completing square.…

Q: Solve the integral. Show your solutions. Sỉ XUÂN ĐÃ

A: The given integral is ∫13xe3xdx. Solve the given integral.

Q: Evaluate the integral. 17 x2 e" dx + C NOTE: Enter the exact answer.

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Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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Q: 8 x2 + 16 dx x2 The integral is equal to ...

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Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

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Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration

Q: solve the given integration by substitution by sub

A: Given: ∫cos(lnx) dx

Q: Evaluate the integral. 16 x e3* dx = +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

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Q: rercises Find a particular integral for the equat 3. d'x dx 3. + 2x Se3 dr dr

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Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: 2х-х2 dx

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Q: J xe3* dx х S xsenxdx Sx² cos2xdx

A: Given that integration and we solve it by using general rule of integration. Here i attached…

Q: Perform the integration. sinh? (e-) dx e cosh(e-) 2

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Q: x" In x dx

A: Given: I=∫xnln(x)dx