Find or evaluate the integral by completing the square. (Use C for the constant of integration.) *+12x+37

Q: Determine the value of the integral: x² dx. A) 0 B) 234 C) -234 D) 702

A: Solution

Q: 5 — 2х da J V12x – 4x2 12х —

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Q: 2x-5 dx 73

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Q: Evaluate the integral: ,8x² – 7x°dx. - Evaluate the integral: ,(6 – 7x)²dx.

A: Given: (a) ∫-208x2-7x6dx(b)  ∫256-7x2dx

Q: +∞ dx 5. S. 9x2+4

A: ∫a∞fxdx =limt→∞∫atfxdx

Q: (2x + 6)dx x2 – 2x + 17

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Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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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: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

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Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: Given query is to find the solution of the integral.

Q: l'm tan2X.cSc 4X メ→0

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Q: Find the value of the given integral and the conditions available in the image.   Which of the…

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Q: 1) Use integration by S(4 – 5x)e-2x dx

A: Given: ∫4-5xe-2xdx

Q: X 2 1 a X 2 dx

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Q: Stan² 2x secex dx 3

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Q: dx 4. x²+4x+13

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Q: 2x dx 2. 25x2+7

A: "Since you have asked multiple questions we will solve question 2 for if you want the remaining…

Q: dx 4 -3x +5

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Q: Solve by finding the square roots. (Round to the nearest hundredths. If no x-ints, type "none", If…

A: given,       y=x2-121

Q: Evaluate the integral. (3x² + x + 5) dx Select one: A. 532 3 В.92 C.25 D.38

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Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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Q: (5x + 8)° H K J (7x – 16)°

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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: S |8x-x2 dx

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Q: dx 2) Ve2x –1

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Q: Calculate the integral and express your answer in simplest form. / 9z(x? – 10)® - dæ 5

A: Given∫9xx2-1085dx

Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given…

Q: 3x² + 2x t 3 dx と 20

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

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

Q: Find the indefinite integral ∫u6 √(5+u7) du Please answer it with complete solution. Exaplain step…

A: The given integral ∫u65+u7du can be evaluated as, Put, 5+u7=t Taking differential on both sides,…

Q: rectangle (A=L*W) increasing?

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Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform…

Q: Evaluate the following integrals.

A: The given integral is ∫2x2+3x+26x-2x2+16dx. In order to solve the given integral first separate it…

Q: Evaluate. Use a capital C for any constant. dx 7x2 4 %3D -

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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: Choose correct answer for indefinite integral dæ 3 a) x æ +- * + C 373 b) 6x-8 – 20a-5+C c) 2x4 –…

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Q: Evaluate the definite integral (15a? – 2a + 10)dæ - : 3

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Q: 2x + 7 dx x² + 4x + 13

A: Given, ∫2x+7x2+4x+13dx  We have to find the integration.

Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=?…

A: We have to find the indefinite integral.

Q: 9. Evaluate the definite integral,

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Q: evaluate the integral.

A: Consider the given integral  Find the integral separately. Use the by-part rule of integration…

Q: dx f(x2²x+10) ² २

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Q: 8x? raluate the integral: dr 49 – x²

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Q: (2x +3) dx x2 +4x +29

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Q: (2x + 3)dx x² + 4x + 29

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Q: + 3x² 4)dx

A: Given query is to find the value of the integral.

Q: 1. 2V) dr

A: Here we have to find integral of 1

Q: Зх-7 dx 10x2+3x+11

A: