Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + 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: 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 31 by making the substitution u = x° – 4. + C NOTE: Your answer should be in…

A: Given,  ∫ x4x5-431dx

Q: Evaluate the integral by making the given substitution. + 20 dx, u = x³ + 2o

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

Q: Evaluate the integral by making the given substitution dx, u = x³ -6 -6

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Q: Find or evalaute the integral by completing the square.

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Q: Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer…

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Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

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

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

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

Q: evaluate the integral. a-) x2 2x dx c.) b.) 3 )عو ه dx 5/3

A: use substitution method  for evaluating the integral.

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

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Q: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: Evaluate the integral.  ∫ (8 − 9x) dx __________________+ C

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Q: Evaluate the integral SSRe-(²*+y°)dA, where R is given by x? + y² 0. е

A: We will answer the first question since the exact one wasn't specified. Please submit a new question…

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. [sec (3x)tan (3x)da, u = 3x +C

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Q: Evaluate the integrals dr b) 24 dy yVy-16 c) x+3 2r - 8x (6)

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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: Find or evaluate the integral by completing the square. dx x* + 12x² + 37

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Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

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

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

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Q: Find the value of the integral T x² da (x²+9) (x²+4)²

A: To find- Find the value of the integral ∫-∞∞x2x2 + 9x2 + 42 dx

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

A: The given integral is x/(x4+10x2+26).

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 *(2* – 3)*da a* – 3)' by making the substitution u = x* – 3. | +C

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Q: Evaluate the integral by making the given substitution. x³(10 + x*)7 dx, u = 10 + x4

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

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Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

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Q: Use the substitution formula to evaluate the integral. dx 1. 22 11 11 O00

A: Solving the problem by substitute method.

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

A: Given ;

Q: Evaluate the integral. ∫ (x2 − 3x) dx ______________C+

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Q: Evaluate the integral by making the given substitution. xV+ 14 dx + 14 dx, u = x3 + 14

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Q: Evaluate the integral t/2 10x csc2 (x) dx

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Q: Evaluate the integral. 1/3 "V1- 9x? dx

A: To evaluate ∫0131-9x2dx

Q: Evaluate the integral. 4x (In x7)?dx Sax(inx')°dx= [

A: Given information : ∫ 4xlnx72dx

Q: Evaluate the integral 27 | by making the substitution u = x – 7. + C NOTE: Your answer should be in…

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Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: Evaluate the integral

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Q: Evaluate the integral f 9(√x² + y²) dxdy.

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Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration

Q: Evaluate the integral: V13 – : 25x?dx + C

A: Formula used: The given integral is: We need to find the value of the given integral.

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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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: Find the integral ∫e−xsinxdx.

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Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…