25-32 Use a computer algebra system to evaluate the integral. Compare the answer with the result of using tables. If the answers 26. x*(1 + x')*dx 5.8: 26 are not the same, show that they are equivalent.

Q: IVI-1 dr

A: We know ∫xn dx = xn+1n+1+C     (n≠-1)   where C is constant of integration.

Q: 8. Leonhard Euler (1707-1783) proved that 00 1 (The proof of this is beyond 6. n' n=1 2 1 the scope…

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Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

A: Explanation of the answer is as follows

Q: 1-22 Use the Table of Integrals on Reference Pages 6–10 to evalu- ate the integral. sec²0 tan²0 do 9…

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Q: 3. Evaluate the indefinite integral e* –3 -dx (e²x +1)(e* – 2)

A: Consider the equation

Q: See image. (note radicals)

A: To evaluate the given integral.

Q: 13-30 Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 4. L_ Ax 4x(1-x²)…

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Q: 1- Find the integral of: 77 A. А- 2 cot - de JT/2 3

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Q: Use the fundamental theorem of calculus part 2 to evaluate the integral: 3 S (2x² – 3x + 3) dæ -2…

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Q: Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 26-29. Table of integrals Use a table of integrals to evaluate the following integrals. 26. fx(2 -…

A: ∫x2x+35dx   Let 2x+3=t Then, 2dx=dt                        On derivating…

Q: 2 3 let (4-x2) 2 dx , write the integral by using Beta function 0. 1 5 8 B 22 .a 1 3 8 B 2 2 B 3 5 2…

A: Substitute x22=t in the integral:  ∫024-x23/2dx=8∫021-x223/2dx…

Q: (5.5) Evaluate the given integrals. Write answers in simplest form. 28.5 32x dx 1+32x

A: we have to evaluate the integral

Q: In In = (a) Prove the reduction formulae 1 -- sinn-1 x cos x + n (HINT: Use integration by parts…

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Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

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Q: 3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

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Q: у2- 25 The result of the integral in 0 given -dy is 5 tan0 – 50 +C , y (A) True B) False

A: To prove the given statement is true Or false.

Q: 5–22. Table lookup integrals Use a table of integrals to determine the following indefinite…

A: Question (5) - Let the given integral be y - y = ∫cos-1x dx          ..........(1)Let,x = cost…

Q: 9-34 Evaluate the integral, if it exists. tb (1)nia 9. ² (8x³ + 3x²) dx 11. f' (1-x) dx 13. f³√x (x…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first part.

Q: evaluate the integral. integral of e^(42-44t)

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Q: Evaluate the following indefinite integral. 7 1+8t -dt 5t (Type an exact answer.) √ 1+8t 5t -dt=

A: The given integral is ∫1+8t75t dt

Q: 1. Find the following indefinite integrals: 1 du b. fcos uchu = а. 1 fa'du- d. . du - с. 1+u? f. f-…

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Q: EXAMPLE 4 Use the Table of Integrals to find SxVx² + 4x + 11dx. Since the table gives forms…

A: now complete the square ................first answer

Q: 2 Jo Part 3 of 6 Next, integrate with respect to 0. *T/2 1 de = e4 1 1 - 17/2 1 - e4 Again, apply…

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Q: 6. Evaluate the following real integrals by residue theorem 3 ーン ans : 493 • I= ST dX ans 8 12…

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Q: 59-64 Use Property 8 of integrals to estimate the value of the integral. x'dx 60. | Jo x+4 59. dx…

A: ∫xn dx = xn+1n+1 +C ∫tan x dx =ln sec x+C

Q: Evaluate the indefinite integral. -3.5 - 15t - 3t-¹)dt (-15-35-3t-1)dt = 1 4 +²√t - 2 In t+c (Type…

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Q: 1. Determine the following integrals: 1- 2 (a) dar- (b) |

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Q: 4. Evaluate the integral: ,(x-2)(x-x² + 1)dx

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Q: In evaluating x(4– x)³ dx, if we substitute that u=4- x, then what will be the resulting integral in…

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Q: 4-15 2-4x+15 Find the Integral

A: We need to find the integral ∫4x-15x2-4x+15dx. So,               ∫4x-15x2-4x+15dx=∫4x-15x-22+11dxLet…

Q: Suppose we perform the substitution .3 u=9-x in the integral 3x² \/9 – x³ dx What is the resulting…

A: We will find the integral in terms of u.

Q: 12.0 6.00 Two marathon runners are running in a race. The first runner's speed (in km/h) is v = The…

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Q: Section 11.6: Calculus of Vector-Valued Functions - #61

A: Recall the rules about the calculus of the vector valued functions: Obtain the derivative of…

Q: 2. Show that 8(x²-a²)= 8(cos - cos') = 3. Evaluate the following integrals, Is = h₁ = √dr 8 (2²-3x +…

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Q: 36 In the evaluation of fa* cos(a) dar, which one of the following is an integral that is involved…

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Q: ,2 1 Evaluate -1 7x +8 dx. a. a. In 22 O b. It is impossible to evaluate this integral. o in21 Oc. 7…

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Q: Evaluate the integral: So So So 2 rt c√3u 0 0 น s²+u² ds du dt

A: Given problem:-

Q: 43-44 Evaluate the integral then integrating by parts. 43. dx

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Q: Evaluate the integrals ∫(2θ + 1 + 2 cos (2θ + 1)) dθ

A: To evaluate ∫2θ+1+2cos2θ+1dθ

Q: EXAMPLE 5 Indefinite integrals Compute i + e*j+ (sin 4t + 1) k) di. VP + 2

A: The integral ∫tt2+2i^+e-3tj^+sin4t+1k^dt can be evaluated as,…

Q: In 1-21, use the definition of an improper integral to evaluate the given integral. 5 2. S dx…

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Q: 4.2 Can you show me all the steps to solve problem 60?

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Q: 8 9 - 4e²™ dx Please approach doing this integral by hand with the following steps: First, make a…

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Q: 22. dx 3)2 (x +

A: Apply u substitution as u = x - 3

Q: 6.4.24. Evaluate the integral. integrate ((1)/(x^3-1))    I've managed to get here so far managed to…

A: Firstly, we introduce the constants A,B and C as shown on board.

Q: (1-i)n=2n

A: