Evaluate the integral 3. (2x+3)(r²+3x + 2) dr by making the substitution u = x² + 3x + 2. + C NOTE: Your answer should be in terms of r and not u. Submit Question

Q: Evaluate the integral | a (2° – 5)26 dx, by making the substitution u = x6 - 5. +C Note: Your answer…

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Q: Evaluate the integral. / 16 – t² dt 16 -1² dt =

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Q: Find what value of c does ∫∞7c/x^3dx=1 (integral is from 7 to infinity)

A: find what value of 'c' does∫7∞cx3 dx = 1taking integration on left sidec x-3+1-3+17∞   = 1c -2(x2)7∞…

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Q: Evaluate the integral f 2x (x² + 6)° dx using the substitution u = x2 + 6. | 20(x² + 6)* dzx +C

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Q: Let a, b> 0, then the integral x2a +1(1-x²)bdx, after changing variables y = 1– x will be expressed…

A: Given the integral I = ∫01x2a+11-x2 b dx To changing variables y = 1-x2 will be express

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c -…

A: To evaluate the given integral.

Q: Evaluate the integral |(2x + 6) (2² + 6x + 6)°dx by making the substitution u = x² + 6x + 6. + C…

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Q: Evaluate the integral 34 dr, by making the appropriate substitution: u = 5) da- 34 NOTE: Your answer…

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Q: Evaluate the integral f 2x (x2 + 5)" dx using the substitution 16 u = x + 5. 16 2x (x² + 5)" dx = +C

A: Solve integration

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Q: Substitute the expression for u, and obtain the integral. x² + 16 - (V |2+ 16 – v + 16 = 2(/ - V16)…

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Q: Evaluate the integral f 2x (x2 + 7)° dx using the substitution u = x2 + 7. 2.x (x² + 7)° dx +C

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Q: Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE:…

A: The given is ∫2x+3x2+3x+104dx by making the substitution u=x2+3x+10.  Solve the integral. Here we…

Q: Evaluate the integral * (2* – 4)" de by making the substitution u a6 – 4. - + C

A: We know that  ∫xndx=xn+1n+1+C We make the substitution u=x6-4du=6x5dxdu6=x5dx

Q: Evaluate the integral da (7x + 10)2" by making the appropriate substitution: u = dx (7x + 10)

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Q: Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms…

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Q: Evaluate the integral. 4x2 - 3 da: J (32 – 2)(x² + 4) +C

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Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

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Q: Use areas to evaluate the integral. 11b 2s ds, 0<a<b

A: Consider the integrals, ∫a11b2s  ds,   0&lt;a&lt;b

Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into…

A: We have to solve integration

Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C

Q: Evaluate the integral xV1 + x²dx 0, a. 2 b. 1 C. 23-1 3 d. 23 3

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Q: 1 J (9x² – 1)3/2 ax

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Q: Evaluate the integral Ja (2 – 4)°dæ (x³ – by making the substitution u = x° – 4.

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Q: 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

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Q: Evaluate the integral da (8r +4)' 4)3 by making the appropriate substitution: u= dr (8r + 4)°

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Q: (b) 2(2+2x3)³dx = | %3D

A: Let's find.

Q: Evaluate the integral f 2x (x2 +7)° dx using the substitution u = x² + 7. 2x (x? + 7)° dx +C

A: Solution:

Q: Evaluate the integral. 2 (8t i - j+ 3t5 k) dt

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Q: The triple integral ¹²-x² √4x²-y x dzdydx is equal to 0.33 0.08 None of them O

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Q: Evaluate the integral. 2. v3 + 9v6 dv

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Q: Evaluate the integral Ja* (2 - 7) dae by making the substitution u = x° – 7. + C NOTE: Your answer…

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Q: Evaluate the integral. sec3xdx A In sec3x+ tan3x+c There is no correct answer from the given…

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Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

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Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

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Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: Evaluate the triple integral: A 24 B 6 12 18 √₁³√₁² √²(x + y + (x+y+z)dydxdz

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Q: Evaluate the integral dæ; use division_ r+9r+20 da z2+9z+20

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