Use substitution to find an indefinite integral with the power rule Question -4x2 (4x³ – 1)' dæ. Do not include the constant "+C" in your answer. For example, if you found the antiderivative was 2x + C, you would enter 2x. Find Provide your answer below:

Q: Find a bound for the error in the approximation M10 to the given integral (but do not calculate…

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Q: Evaluate the following indefinite integral. You must show work. 1 + =)dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) (x + 1)8(x + 1)2 xp

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Q: Find the indefinite integral. (Use C for the constant of integration.) (In x)7

A: This is a basic integration problem

Q: Find a bound for the error in the approximation M10 to the given integral (but do not calculate…

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Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: Integrate the following indefinite integral to find the general solution using either the "evidence…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dx 4 - (In x)2 Need Help?…

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

Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: The given integral is ∫9x81-(ln x)2dx. The integration of 1a2-x2=sin-1xa+c, where c is constant.

Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the constant of…

A: The integral is ∫4x2(16+x2)2dx Substitute x=4tan(θ) ⇒dx=4sec2θdθ…

Q: x3 2. S dx x6+15x++75x²+125

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Q: Evaluate the following indefinite integrals: (Don't forget the constant of integration: use C or K)…

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Q: Complete the trig substitution to achieve an integral involving trig functions of 0. Stop here; do…

A: Given: The integral is  ∫x2-4dx

Q: Evaluate the following indefinite integral. Do not include +C in your answer. –3x* + 6x³ – 5x²)dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5t dt 1 – 25t4

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1 xp

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 xp XV 16 – (In x)2

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Q: Evaluate the definite integral.   definite integral of 20 at the top and 0 at the bottom 8/ the…

A: ∫02082x+1dx Consider, ∫82x+1dx=8∫12x+112dx=8∫2x+1-12 dx=812·2x+1-12+1-12+1+C     ∵∫ax+bn…

Q: Find the indefinite integral. (Use C for the constant of integration.) an(x) In cos(

A: The given integral is: I=∫9tan xlncos x dx

Q: Use the substitution u=x° +5x to find the following indefinite integral. Check your answer by…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8. xV 64 – (In x)2

A: Consider the integral: ∫8x64-lnx2dx…

Q: cos V dx X.

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Q: Use a change of variables to evaluate the following indefinite integral. S(.10-5x2)° (P -x) dx

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Q: h) S dx 1 g) S", cost t dt -π/4 x²Vx2

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Q: dx (x +1)² Vx² + 2x – 8° -

A: To evaluate ∫1x+12x2+2-8dx

Q: Evaluate the indefinite integral given below. ∫ x(x+7)4 dx

A: Given query is to find the integration.

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 7r +4x2 + 6x 3 dr

A: Solved below

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xp (x² + 5)2 х

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Q: Use a change of variables to evaluate the following indefinite integral. (Vx+8)° dx 2/x

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Q: Find the indefinite integral by using the substitution x = 2 tan(0). (Use C for the constant of…

A: Given ∫2x24+x22dx and x=2tanθ

Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: SxVx-6 dx

A: ∫xx-6 dx

Q: Zvaluate the given indefinite integral. Show your detailed solution. (Non-anonymous questionO) 2x2…

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Q: Given (2x + x° + 6x – 2)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Given, ∫2x5+x3+6x-2 By using the sum rule, ∫f(x)±g(x) dx=∫f(x)dx±∫g(x)dx ∫2x5+x3+6x-2⇒2∫x5dx+∫x3…

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

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Q: Use a table of integrals to find the indefinite integral ∫ e3x /(1 + ex)3 dx

A: Use a table of integrals to find the indefinite integral ∫ e3x /(1 + ex)3 dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration. 5 coshyx) de

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: This integral comes under substitution and the substitution is,

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

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Q: ***** Find the indefinite integral. (Use C for the constant of integration.) 15 XV 25 - (In x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 9

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 5

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Q: 21 – In x dx e 1

A: Solution is given below..

Q: Find the indefinite integral. (Use C for the constant of integration.) 10 do cos(0) – 1 -

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Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

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Q: Use the substitution u = x + 14 to find the following indefinite integral. Check your answer by…

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Q: Evaluate the following indefinite integral. You must show work. -)dx X

A: We have  to evaluate the indefinite integral.

Q: Use the Change of Variables Formula to evaluate the definite integral. 6 In x dp- 1

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