104 CHAPTER 5 INTEGRALS 7. (x*- + x – 2) dx 9. | (и + 4)(2и + 1) du x³ – 2x dx 3 - 11.

Q: How do I evaluate the indefinite integral?

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Q: 31 -1 dx 7х — 6 -

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Q: Solve for the definite integral. Show all work. Leave all answers in exact form. •5 dx 5) Vx dx 2

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Q: What is an indefinite integral? How do you evaluate one? What general formulas do you know for…

A: Indefinite integral of a function f is a collection of all antiderivates . We can evaluate it…

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Q: dx 2. 4tx

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Q: 0- x?dx 6. 5 -1(1-х?)7

A: Given: I=∫-10x2dx1-x252 For evaluating given integral, first we simplify given expression…

Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the next…

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Q: integral of 3/(x^2)+9

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Q: (2+vx)² X dx Vx

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Q: -1 dx -2 x²+1

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Q: x2 dx use this fact and the properties of definite integrals to evaluate (3 - 3x2) dx. Given that…

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Q: Hi, earlier I requested an answer and work to this problem, but it does not seem to have been done…

A: Let's solve this using the method of substitution. Let's say z3 + 8 = u Hence, 3z2dz = du Hence the…

Q: (3x² + 1 +) dx 2х2

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Q: Use geometry to evaluate the definite integral. 22 x dx 22 -x dx = | (Type an integer or a…

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Q: (23) Explain the Substitution Rule for Definite Integrals. (24) Find √3x + 5dx (25) Find 1 (3x + 5)5…

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Q: 12x' +x' +3 (x +1)

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Q: X'UX+1

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Q: Integral of 1/18x^2-12x+34 dx

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Q: 9. tan 2x dx

A: Solve: ∫0π6tan 2x dx. Apply tan y= sin ycos y. ∫0π6tan 2x dx=∫0π6sin 2xcos 2x dx

Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: Determine the indefinite integral| V1-x² dx. Check the answer by differentiation.

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: 5. L-e dy

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

Q: evaluate the indefinite integrals. If you made a u-substitution and/or performed integration by…

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Q: (8 - 3x*) dx. x² dx use this fact and the properties of integrals to evaluate Given that

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Q: 5) A complex function can be modelled by the equation, sin(lnvx) f(x) = | dx Hx Find the indefinite…

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Q: Use integration by substitution to find the indefinite integral of  ∫(x2+4)(x-1)6dx

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Q: 2. The indefinite integral sin 0 cos 0 de can be evaluated in multiple ways: (a) Evaluate the…

A: The solution are next step..

Q: find the indefinite integral of:  ∫x²/³√2x+1 dx

A: Consider the provided integral, ∫x22x+13dx Evaluate the provided integral. Apply the substitution…

Q: Find the general indefinite integral. (Use C for the constant of the indefinite integral.) 32x3 dx

A: To find the general indefinite integral.

Q: definite integral of 1 at the top and 0 at the bottom x square root of 56x^2+25 dx

A: Let the given definite integral be y - y = ∫0156x2+25dxy = ∫0156x2+2556dxy = ∫0156x2+5562 dxy =…

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

A: Consider the given indefinite integral

Q: Review of Definite & Indefinite Integrals 5 + 2x + 3 ) dx Find + C

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Q: /2 (5x*+ 3 x '-7)dk

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Q: Determine the indefinite integral: -1 - T' )dx 5x² 2vx 2n

A: Using standard formulas & rules of integration.

Q: 8. x cos 2x dx 0. klea

A: Explanation: Given that,  ∫0π2xcos2xdx     Calculation: Let us assume u=2xx=u2differentiate both the…

Q: Find the indefinite integral. x cos 8Tx2 dx

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Q: 7 -8x² – 5 + dx x² +1 Integral =

A: We have I =∫ - 8x2 -5 + 7x2+1dx

Q: Evaluate the definite integral. -82²e¬5¤ dx -5z

A: Given,  ∫01-8x2e-5xdx

Q: the indefinite integral and check the result by differentiation.                     ∫(4x2 + 3)2 dx

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Q: 5. sin² 4y cos? 2y dy

A: Given: I=∫0π4sin2 4y cos2 2y dy  ……1

Q: 4)[ -x/2x² – 3) dx

A: given,       ∫-x2x2-3dx

Q: .5 1-, x3 + 3x2 +4 Solve the integral using the trapezoidal rule. The step interval can be taken as…

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Q: 9. 1 dx - 3

A: Solution

Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

Q: 2Varctan(3r) 1+9r2 Evaluate the indefinite integral dr.

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

Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

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Q: Find the indefinite integrals. 1. ∫ (8 - (1/x4))2 (1/x5) dx

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Q: 7. V1+2 sin 3x•cos 3xdx

A: Given: Let I=∫1+2 sin 3x.cos 3x dx To Find: To evaluate the given integration.