4 er the indefinite integral x Va*- 4 dx: n be transformed into a basic integral by letting 4-4 o and (42) V o dx ming the substitution yields the integral -(x4 – 4) + C × du syntax error. Check your variables - you might be using an incorrect one.

Q: a a²-x² xe?y q2 dy dx Consider given double integral above and give answers to following two…

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Q: Find the indefinite integral dt. Do not include the constant "+C" in your answer. For example, if…

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Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: - 23 L f(2)dx = 11 - 82 and - 23 L g(z)dæ = 30 82 and – 23 h(x)dx = 25 - 82 | what does the…

A: Given ∫-82-23Fxdx=1 -1          ∫-82-23gxdx=30-2          ∫-82-23hxdx=25-3We find…

Q: 1 Consider the integral dx, where c is a positive constant. cx /In(x) 1 Is this integral an improper…

A: We need to evaluate integral.

Q: Integral from 0 to 1 of (3^x)/(e^x). The answer should be decimal

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Q: 1. Find the general indefinite integral or evaluate the definite integral, as necessary. a) S(3x² +…

A: We have to solve

Q: Evaluate integral I60 e2x-3/ex dx I is the integral sign 6 is upper bound and 0 lower bound.

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Q: 20 |V400 - x2 dx 10 What substitution will be the most helptul for evaluatıng this integral'? O A.…

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Q: 8. Let [x] denotes the greatest integer not exceeding x then Jo x]e* dx =? 9. Using integration by…

A: Given that: ∫02[x]e-xdx,    [x] denotes greatest integer not exceeding x.   NOTE: As per our…

Q: value

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Q: (9) Evaluate the definite integral -1 x'+1 dx

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Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: Use geometry to evaluate the definite integral. 8 26) Evaluate. 27) S 1 S (8 - x) dx x3. + 64 X + 4…

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Q: evaluate the integral 5 ∫ - 8 (5 is top of integral, - 8 is bottom) e ^ -0.02x dx

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Q: 4. Water leaks out of a tank at the rate of yt +1 gallons per minute, for 0 <t < 120 minutes. At…

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Q: 1 ∫ 0 (1 is the top of the integral, 0 is the bottom) x - 1 / x^2 - 2x + 4 dx

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Q: n/6 Evaluate the integral y = | sec- xdx. Express your answer to 3 digits -1/6 after the decimal…

A: Proceed as shown below...

Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

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

Q: 3 (х3 — Зх2 + 4х — 5) dx | a) Approximate the definite integral with the Trapezoid Rule and n = 4.…

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Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: -8 Suppose we want to evaluate the definite integral, dx using the substitution, u = 7x + 1. -1 (7x+…

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Q: dx (§5.7, Q28) Evaluate the indefinite integral: (x – 9)5"

A: step 2 complete solution

Q: 13. Use u-substitution to evaluate the following indefinite integrals. Give your final answer in…

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

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Q: (4) / | Va In x da (d) In x dx x2 (e)

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 8tj – 4/tk) dt (^) -…

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Q: Is this correct?

A: To find the indefinite integral by using substitution.

Q: 1) Consider the indefinite integral  ∫ X5/(x6-4)6 dx  This can be transformed into a basic…

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Q: Use a change of variables or the accompanying table to evaluate the following indefinite integral. 1…

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Q: Find the indefinite integral. [Hint: Use u = x² + 5 and 1 un du = 1 + C (n # -1).] (Use C for the…

A: Given,          ∫x2+58xdx

Q: x² to compute the integral x· V1 – x4 dx. [Hint: the Use the substitution u = FTC is great, but not…

A: Given integral, ∫01x 1-x4 dx

Q: 4. Suppose f(x)dx = 2, f(x)dx= -5, and g(x)dx--5. Evaluate the following integrals, 2. g(x)dx = 7.…

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

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Q: stion 2 Evaluate the given integral and answer the missing step by step solution. (x^2 means x and…

A: Solve by parts method

Q: 1. Without the use of U-substitution evaluate the integral of. |7x0 – 4x³(x? – x* + 2)*dx

A: As per guidelines, we are  entitled to solve only one question.Pleaserepost remaining questions…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help?…

A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: 4 Consider the indefinite integral x° · Vx* + 2 dx: This can be transformed into a basic integral by…

A: We will solve the problem.

Q: 2 (x² - y²) ² Evaluate: ³₁² L 21 x+y du dt

A: We have to find value of given double integration.

Q: Find the indefinite integral. | sinh(8 – 7x) dx Step 1 First, let u = 8 - 7 x. Now, differentiate u…

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Q: 4 Jamar- Suppose f(x)dx = 6, f(x)dx = -2, and g(x)dx 7. Evaluate the following integrals. 9g(x)dx =…

A: Solve it

Q: 3 Given that / et dx = e3 - e, use the properties of integrals and this result to evaluate (4ex - 5)…

A: To find the integral by using the given results.

Q: -. The integral x+1 dx can be evaluated using the substitution u = x'+ ax +1 once. Determine a and…

A: Given : ∫x2+1x3+ax+1dx

Q: 4 x² dx evaluates to The integral Select one: O 1 4 1 none of the other answers

A: We will evaluate the given integral.

Q: 4. Evaluate the integrals. Simplify your answers. 3x+5 dx x+9 е.

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Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: The value of the integral ∫xndx=xn+1n+1+C.

Q: Review of Definite & Indefinite Integrals (5z* + 4a*) de Find +C

A: We will solve the problem.

Q: 4. Suppose f(x)dx = 6, f(x)dx =5, and g(x)dx=8. Evaluate the following integrals. 4g(x)dx = (32…

A: We make two separate integrals from the given integral.

Q: e): -15x(x - 2)'dx

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Q: 3 dz 1+ 9z2 Evaluate the definite integral:

A: This question is related to definite integral, We will solve it using given information.