Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square, if necessary).

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric…

A: integration with subsitution

Q: To find the arclength of y = 2x2 – 1 from æ What is the value of the integral? O to x = 3,

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Q: evaluate the integral by completing the square and using trigonometric substitution.

A: We first complete the square

Q: Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer…

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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: a. ²₁ (5x¹-2x³) dx

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Q: 1 dx J Vx² + 2x + 5

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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: Evaluate the integral by completing the square and using trigonometric substitution.

A: ∫1x2+6x+62dx=∫1x+32-32dxSubstitute u = x+3=∫1u2-32du=∫1123u+3+112u+32-1123u-3+112u-32duApply the Sum…

Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

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Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

Q: Find the integrals using Trigonometric substitutions 1 (a) / Va? – x² dx (g) - 4.x2

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Q: Tπ L2 sin3xdx Tπ 4

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Q: S sec2 70 d0

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

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Q: When applying the u-substitution technique to this integral, we will 99 S 2¤(x² – 1)™ dæ Which of…

A: We have to find subsistion

Q: Evaluate the integral. 5 x es* dx = C NOTE: Enter the exact answer.

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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: Q2: Calculate the area of the triangle using the following integrals 3 a) dx 6. 1.

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Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

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Q: dx Evaluate the integral/ by completing the square and using trigonometric substitution. V36x+6x2…

A: Given,  ∫dx36x+6x2  We have to evaluate the integral

Q: V9x2 + 25 1. х2

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J (10a4 + 9)"…

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Q: dx 2. S XVx4+1

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Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

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Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx 4 +C (2 –…

A: Substitute the denominator and simplify then integrate.

Q: Evaluate the integral using the following values. dx = 960, x dx = 24, dx = 4 (8x3 – 10x + 9) dx…

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Q: evaluate the integral by completing the square and using trigonometric substitution.

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Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration

Q: Evaluate the integral using the following values. Ca*dx = 1020, Sz dz dx = 30, C da = 6 %3D Solve :…

A: Given integral, ∫286x3-12x+5 dx

Q: Evaluate the integral. Enter the fully simplified answer with no fractions under the square root and…

A: Given: I=∫dxx236x2-25 for evaluating given integral, first we take out x2 from square root so,…

Q: Find the integral by using the integral table on the inside back cover. (Rer 25x2 +36 dx + C

A: We will use substitution

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: dx Evaluate the integral / by completing the square and using trigonometric substitution x² + 4x +…

A: Solve the following integral

Q: Determine the integral solutions  fro which x and y are positive 2x + 5y = 17

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Q: Evaluate the integrals: x-y х-у (x+y)3 dxdy (x+y)³ kpxp I xpáp S pue Are the results the same? Why…

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Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e"|…

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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: The integral of * x? dx is (x2+4)(x2+9) In(x? + 4) + In(x? + 9) + C Option 1 Option 2 -tan () + tan…

A: Given:     ∫x2dxx2+4x2+9 Perform partial fraction decomposition:     =∫95x2+9-45x2+4dx…

Q: Evaluate the integral: , (x2 + 3x)² (2x + 3) dx Choose the most appropriate answer. -464.67 O 81.67…

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Q: When applying the u-substitution technique to this integral, we will need to exchange dx for du. 99…

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Q: 4. S 3xsen5xdx 5. S te2t dt

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

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Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A: Given: The integral is ∫(r2-1)3/2rdr   Reduction formula: ∫tann(x)dx=tann-1(x)n-1-∫tann-2(x)dx

Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

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Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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