| (u? – 2u) du 37.

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sec2…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x³ (3x4 + 2)³…

A: We need to integrate ∫x33x4+23dxSubstitute 3x4+2=tDifferentiate w.r.t t12x3dx=dtNow∫112t3dt ---{1}

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx VTe(26/a)

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 6. - dx (2 —…

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Q: Evaluate the integral. NOTE: Enter the exact answer. + 13/x| dx +C [ 20:r3

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE:…

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if…

Q: Question Using integration by parts, the integral f In(8x²) dx is equal to:

A: Please see the answer in Step 2

Q: 1 dx J Vx² + 2x + 5

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Q: V5 - 4x — х2 dx

A: Used substitution to solve the integral.

Q: cosl Vx dx

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: | 24(e(7x2+24x+3x*)) + 14x(e(7x²+24x+3x³)) + 9x²(e(7x²+24x+3x³)) (dx)

A: Let the given integral I. It can be written as, I=∫24e7x2+24x+3x3+14x e7x2+24x+3x3+9x2 e7x2+24x+3x3…

Q: Using a Table of Integrals with the appropriate substitution, find re3x + 7e2¤ + 4e* dx Ve2x 64

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Q: Evaluate the integral using the formula x dx = E. (Give your answer as a whole or exact number.) /…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

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Q: sec? x etanx dx 8. V1 + etanx

A: Let us assume:u=1+etanxdu=0+etanx·d(tanx)du=sec2x·etanxdx

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: tan Vy dy

A: Integration by substitution: - Let F and g be differentiable functions, with g's range corresponding…

Q: dy yV3 + (In y)²

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8 dx +C –…

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Q: 4cos*(m) – 4cos²(m) + 1 sin²(2m) dm

A: This question is purely based on integration in which we have to simplify, firstly trigonometric…

Q: dx exactly and show that the result is Evaluate 1+ x2 (Hint: substitute x = tan u.) 4 Then, find the…

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4x²e" dx = +C

A: Given:          ∫4x2ex3dx         =4∫x2ex3dx substitute u=x3→dudx=3x2                     dx=13x2du…

Q: dx Evaluate the integral/ by completing the square and using trigonometric substitution. V36x+6x2…

A: Given,  ∫dx36x+6x2  We have to evaluate the integral

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given: Let I=∫09x2 dx To Find: To evaluate the given integration.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (4x – 3)º dx…

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 49x2 +…

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Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below: = (x In xdx a. 0,8 b. I=…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

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Q: x tan? V1 – x2 sec? V1 – x2 V1– x2

A: Consider the integral: I=∫x tan2 1-x2 sec2 1-x21-x2dx……1

Q: Evaluate the integral. 19 dx x²/x² NOTE: Enter the exact, fully simplified answer.

A: Let I = ∫2219 dxx2x2-1

Q: By using Simpson's Rule, calculate the integral 2r +a?dr.

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Q: dx Find the value of the integral 14² by using simpson method (n = 6)? 를

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Q: Make the u-substitution u = 5/x, and then use the Endpaper Integral Table to evaluate the integral.…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e-2 dx…

A: Given: ∫5ex+2e-x5ex-2e-xdxsubstitute  u=5ex-2x-x     then dudx=5ex+2x-x…

Q: x2 dx Vx? – 4x + 5

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. dx +C…

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given integral: Using properties:

Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. 9e" + 8e- dx =…

A: We will solve the problem

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 11/x| dx 13x3 J+C

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Q: 16. V5 a csc? (3а? - 1) da 4

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Q: Use geometry and the properties of integrals to evaluate the integrals. Leave your answer in exact…

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Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1