Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s). evT-7 dx = – 7 + C

Q: Approximate the value of the integral by use of the trapezoidal rule, using n 8. 11 121-x dx

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Q: Evaluate each integral bY first making an a substitution. appropriate Sx(x²-1)" dx ल मैंढ a)

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Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

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

A: The given integrand is  x2 (x3+2)1/2

Q: Evaluate the integral: 2. dメ do (x-1)/3

A: Evaluate the integral.   ∫021x-123dx

Q: g+y= 쓸 - zxe - 5

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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 by any mothod d choice: dx (b) e* dx

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

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 (9ze" )dz + C

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

Q: de V1+4x

A:

Q: (a) Evaluate the integral using the substitution u = In (5x). x In (5x) dx x In (5x) ? Edit +C (b)…

A: An integral in some cases can be simplified using a substitution. For example ∫ln(x)xdx with the…

Q: Evaluate the integral. du 2

A:

Q: Evaluate the integral by making the given substitution. x-Vx3 + 10 dx, u = x3 + 10

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Q: 18 z-ya (i) z (x² + y? + z?) dz dydz I =

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

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. d.x (10x4 +…

A:

Q: Evaluate the integral by making the given substitution. sec(2x)tan(2x) dx, 2x +C

A: Solving the problem by doing the integration.

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

A: Given : Integral  ∫ex-21x-21dx   To find : Evaluate the given integral by using u-substitution?

Q: Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + C

A:

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

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

Q: 5. -dx 1 + x

A:

Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [t√4 t√4t² +…

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

A:

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

A: Given that, ∫021x2-2x+2dx

Q: (a) P* dydz.

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx = (9x + 8)…

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Q: dx x²/16-x 22.

A:

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

A: Given ;

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. t/7t² + 8 dt…

A: Topic= Integration

Q: Evaluate the integral. Assume that B is a real number and that B > 3. 6x dx

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

A:

Q: Evaluate the integral by interpreting it in terms o 0. 9 - x2 ) dx -3 9 3 + 4

A: ∫-30 (3+9-x2)dx=∫-30 3dx+∫-30 9-x2dx                                    =A+BA:∫-30 3dx=3x|-30…

Q: Evaluate the integral by making an appropriate change of variables. 3e9x + 9y dA, where R is given…

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

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

A:

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 by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V10y+1 +C

A:

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

A:

Q: Evaluate the integral and check your answer by differentiating. ∫ (2+y2)2 dy

A: The given integral is ∫ 2+y22 dy. Evaluate as follows.

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. (Use C for the const dx 15 √ 5x(1 + 5x)

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

A:

Q: Evaluate the integral by making the given substitution. x2(sqrt x3+22)dx…

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