Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

Q: Evaluate the integral (2æ + 6)(x² + 6x + 9)*dx by making the substitution u = x? + 6x + 9. + C

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Q: 3tan a sec? x dx (4+3tan=)* 2

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Q: Evaluate the integral , f(x) dx, where 3 — х3, х 1

A: Given a piecewise function We need to find integral from x=-2 to 3

Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

A: Solve the following

Q: Evaluate the integral by any mothod d choice: dx (b) e* dx

A: Consider the given: ∫1x-x3dxApply u…

Q: Evaluate the integral by making the given substitution. dx u = 7x + 8 (7x + 8) '

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Q: Evaluate the integral: So " (10 + 2z? + 2y²)dx dy. 160 3. 100 3. 110 3. None of these. 140 3

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Q: Evaluate the integral: 36 x dx + C

A: According to question given that ∫x336-x2 dx

Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

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Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: 2x dx ,(x2 +1)2 - 00

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Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

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Q: Evaluate the Integral (9ze" )dz + C

A: Evaluate the integral.      ∫9xex+5 dx

Q: Evaluate the integral da 2+ et using the substitution u = 2+ eª. dx 2+ et +C | -

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Q: dw V5 – e-2

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Q: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C

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Q: 2. x dx (x2 - 2)3

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Q: Evaluate the integral (* - 11)"dz, by making the substitution u = x* – 11. + C

A: We will solve this integration by substitution

Q: Evaluate the integral by making the given substitution. dp, и %3D 1 + бр2 1 + 6p2 + C

A: Solve the indefinite integral in the following way:-

Q: Evaluate the integral. (2 + 2y)? dy

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

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Q: Evaluate the integral using the given substitution. 18(6x- 2)6 dx , u = 6x - 2 0.(6x - 2) +C O (6x -…

A: The given integral is ∫186x-2-6dx and  u=6x-2

Q: -4x Calculate the following integral Je dæ by using a substitution O - 0.25e^(-4x) + C O 0.25…

A: ∫ e-4xdx

Q: Evaluate the integral 45 1)" da, by making the appropriate substitution: u = 45 dx =

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Q: Evaluate the integral using the given substitution. dx ,u = 6x + 1

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Q: Evaluate the integral by making the given substitution. dx u = 3x + 9 (3x + 9)3 + C

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Q: Evaluate the integral? U sub? I/m not sure.

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Q: Evaluate the integral by making the given substitution. | x³(7 + x4)7 dx, u = 7 + x* (7 +x^)4 + C 32

A: Given ;

Q: 12-1 – 1|r dr 1|x dx

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Q: Evaluate the integral by making an appropriate change of variables. 7(x + v) ex2 - y? dA, where R is…

A: Consider the given information:

Q: 3. Use the table of integrals to evaluate dx and give the following information: V9x2 -25 a) Which…

A: We have to find solutions

Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. | (In(3.x))² dx = +C

A: From the given problem: I=∫ln3x2dx  ....(1) Let, t=3x So, ddxt=ddx3xdtdx=3dx=13dt Nw substitute…

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: Evaluate the integral

A: Solution Given ∫01x2(1-x2)52dx We need to evaluate the integral

Q: 1 dz c+x2 c)

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Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)da, u = 4x + C

A: To find following integration  I = ∫ sec(4x).tan(4x).dx

Q: Evaluate the integral? U sub? Im not sure.

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Q: 4 -dx xln?x 00

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Q: Evaluate the integral by making the given substitution. dx (3x + 14)4 u = 3x + 14

A: We have to solve

Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)dx, u = 4x + C

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Q: Evaluate the integral using the given substitu Sxcos (5x?) dx, u=5x? dx, u= 5x sin (5x?) +c О в. sin…

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Q: p9 ]n Y dy 4

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: ∫ex-14×1x-14dx Let us take u= x-14, then differentiating u with respect to x, we get   du = 12x-14dx…

Q: Evaluate the integral + 3)(x² + 3x + 5)* dx by making the substitution u = x² + 3x + 5. + C NOTE:…

A: We can evaluate the given integral by using the substitution u=x2+3x+5 and applying the following…

Q: The integral can be rewritten as 6u³ (a). Su + 1 di du 6u4 (c). √ ₁² + 1 du dx ³√x + √x S 6u² (b). √…

A: Given :∫dxx3+x

Q: Which one of the following integrals is most easily evaluated by the substitution u = 4 – x²? 4 – x²…

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Q: ds :? V5s+6

A: We use substitution method to solve the given integration .

Q: Evaluate the integral by making an appropriate change of variables. || v) ex? - y? dA, where R is…

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