For each definite integral, find the simplified answer. s dx x2 a) b) c) re In(x) dx d) x²-4x+6 x-1

Q: Verify the value of the definite integral, where n is a positive integer.

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Q: Evaluate the following definite integral. Assume that B > 1. -в 2х + 8 dx x2 + 8x + 9 /1

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Q: Evaluate the given definite integral: tan(x) dx = 1 B [In(2)]/2 In(2/3) In(3)

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: Evaluate the following integral: ( a ) |sin? xcos“ xdx 4

A: Topic - Integration

Q: Evaluate the following definite integral. Assume that B > 1. B 2х + 14 dx x2 + 14x + 6 In(B2 + 8B +…

A: Consider the given integral.

Q: 4. Se* (e** +) dx

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Q: When the integral is evaluated by trigonometric substitution, e*V4 – e2x

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Q: Write the definition of line integral and apply it to solve the following integral: z² dz Such that…

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Q: V. S, sin* () cos5 (-) dx

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Q: Find the integral | e2 sin(3r) dæ +C

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Q: To evaluate the integral expression sin-(vVx )dv, using simple substitution dv = f (x) dx, Determine…

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Q: .4 sec'x (V tan³x + 1 ) dx

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Evaluate the definite integral. Si f (x) dæ, f (x) =4"-(7a+ 13)/a?

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Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: Use the figure of f (x) to evaluate the following integrals. a) Si f(x) dx 5- 10 b) " f(x) dx -5…

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Q: Use the indicated substitution to evaluate the integral.

A: Given:           ∫012x21−x2dx,  x=sinθ

Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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Q: sin(In.x) a.

A: Take substitution lnx=t.

Q: Evaluate the following integral: S cos? (x) sin (x)dx 3

A: To find: ∫cos2xsin3xdx

Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: Use the given substitution to evaluate the integral.

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Q: 2z -dz l|z||=10 ПЕ-10 (2 — 1)(2+ 1)

A: NOTE: The closed curve will be denoted by z=10 because it is a circle with centre at 0 and radius…

Q: Evaluate the following integrals. 3xx + 1dx b. de. a. tan²

A: Consider the integral

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. S(ax? +9) dx 2…

A: use fundamental theorem to find the integral

Q: Evaluate the following integral. 9ex dx 1- e 2x

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Q: Evaluate the following integral sin^2(x)cos(x)dx show all work

A: To calculate the integral of function sin2(x)cos(x). Now, integrate the provided function by using…

Q: 4x tan(x² }tx

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Q: Evaluate the integral using the following values. Ca*dx = 1020, Sz dz dx = 30, C da = 6 %3D Solve :…

A: Given integral, ∫286x3-12x+5 dx

Q: Find the following integral, given that f (x) dx = 10 and | 6)*dx = 14. 9. b.

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Q: Evaluate the following integral.

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Q: Find the value of n in the following definite integral. 4x° dx = 1 Answer:

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Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the following integrals.

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Q: sin xcos x dx 2 X COS

A: ∫sin2xcos2xdx

Q: sin x cos(2x) dx

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Q: The integral S x dx x²+√√x²-1-1 can be transformed to which of the following using trigonometric…

A: Please follow the next step.

Q: Evaluate the following integrals.

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Q: For which constant B values is the integral o (3x2 + 2x – 3y, Bxy+ 4y) F. dr, F(x, y) ||…

A: Given,             F(x,y) = < 3x2+2x-3y2 , βxy+4y>To find →  (i) β such that ∫CF . dx is path…

Q: Find the following definite Integrals : Wir ( i+ sec?x)dx 2. a. X.

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Q: In the notation for definite integral, | f(x)dæ, a

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Q: Find the integral. x? dx 5x° + 8 3 O A. 5 In 5x° + 8| +c O B. 15 In 5x +8| +C Oc. In |5x° + 8| + C…

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Q: Evaluate the definite integral. Si f (x) dæ, f (x) =3"–(15x³+ 6)/a?

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Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)dx, u = 4x + C

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Q: For each of the following integrals, does the Fundamental Theorem of Calculus Part 1, apply over the…

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Q: x² tan¬1 x d 72

A: Consider the integral: ∫x2tan-1x dx. Apply Integration by parts ∫uv'=uv-∫u'v. Let u=tan-1x and v'=x2…

Q: Find the following integral, given that f (x) dx = 8. -b+7 f (x – 7) dx =

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Q: Evaluate the following integrals.

A: The given integral is ∫13 tan-1xx12+x32 dx. Substitute t=x  and  dt=dx2x=dx2t in the above integral…

Q: cos“ x sin x dã

A: In some cases, an integral can be simplified to a standard integral with an appropriate…

Q: e tan (e) d.r (b) sec2 (e) - 7

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