Evaluate the integral. | (sin? 0 + cos? 0)d0 е — т те т — е 2т3

Q: Substitute x = V2tan0 ,so the integral dz in terms of 0 is equal: IV +2 Select one: O a. v2 S sec'0…

A: We need substitution method

Q: 2.0 Hence, evaluste Se? cosz de to 3 decimal places. CoS I

A: According to question given that ∫01ex cosx dx

Q: Evaluate the integral using the given substitution. Jx cos (6x?) dx, u=6x? x2 O A. sin (6x?) +C 2 1…

A: As per our guidelines we need to solve only one question.please repost the remaining questions as…

Q: Use the Table of Integrals to evaluate the integral. T4 - 9 sin e sin 20 de 4 – 9 sin 0 |

A: We use substitution to integrate the given function.

Q: What change of variables is suggested by an integral containing * V25 + x²? O a tanø O none of the…

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Q: Consider the triple integral I - f L, S dzdydx. The value of I is:

A: In this we have to integrate this triple integral problem three times with respect to z, y & x

Q: Evaluate the multiple definite integral J, J. zr²sinu du dr dz

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Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

Q: eln (R/c) secx - sec?x)" sec(34 – x) "du?? dx to be integrable using the formula What should be the…

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Q: Evaluate the integrals. Show all work. 1. 0 cos (T0) de 1/2

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Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

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Q: Evaluate the given integral along the indicated contour C. Jo 92² ² dz, where Cis z(t) = 3 cos³(xt)…

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

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Q: |a" cos(2°) da = +C. %3D Hint: First make a substitution and then use integration by parts to…

A: Consider the given integral ∫x11cosx6dx. Let u=x6. That implies, du=x6dxdu=6x5dxdx=du6x5 Then, the…

Q: Evaluate the integral using the given substitution. 15) 1- sin cos dt, u = 1 - sin 13 1 - sin + C A)…

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Q: Evaluate the integrals. ∫sin z sin (cos z) dz

A: Consider the given integral ∫sinzsincoszdz

Q: Evaluate the integral using the given substitution. Sx cos (10n2) dx, u = 10x² sin (10x²) - C sin…

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Q: The result of the integral in 0 given 25 dy is 5 tane - 50 +C, y A True False

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Q: Transform the integral fo So sin o ne do de by the substitution x = sin o cos 0, y = sin o sin 0 and…

A: The given integral is, ∫0π2∫0π2sinϕsinθ dϕdθ To substitute x=sinϕ cosθ  and  y=sinϕ sinθ The limits…

Q: TU 5.fo cos³ 30 de

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Q: 3. Use the Fundamental Theorem of Calculus Part 2 to evaluate the integral, or state why the…

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Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: Find the integral a 3x? cos (x ) dx where a is some positive real number.

A: Given : ∫0a3  3x2cosx3dx , where a is some positive real number

Q: Evaluate the integral using the given substitution. 5- sin cos dt, u= 5- sin- cos 1 O A. 5- sin 3 t…

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Q: 3(sin y– cos y)°dy cos y

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Q: Evaluate the integral using the given substitution. Jx cos (5x?) dx, u=5x? O A. sin (5x2) +c 1 O B.…

A: Note:Since you have asked multiple question, as per our guidelines we are supposed to answer only…

Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. In 4…

A: We need to substitute e^t = x to solve it.

Q: Evaluate the integral. NÓTE: Enter the exact answer. xy" dy dx

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: p* sin o cos o dp dộ dê

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

Q: - sin(y) dy: cos(y) + 7 Consider the integral- This can be transformed into a basic integral by…

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Q: Evaluate the iterated integral. T/2 14 cos(@) r dr de

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Q: 4 dx=? e.

A: ∫14 4x-e-xdx =∫144xdx-∫14e-xdx =4∫141xdx-∫14e-xdx =4lnx14-e-x-114 =4lnx14--e-x14 =4lnx14+e-x14

Q: Which among the following is an improper integral? 0.5 dx a. -0.5 1-x2 csc?x b. Ji V5-csc2, dx…

A: (a) The integral given in (a) has a finite value. Therefore this integral is proper. (b) The…

Q: x2 dx 3. (бх2—49)"/2 49 [V36x3-9x IVox + v6x2 –9 + In + C I 12v6 49 7

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: The resulting integral of S dx is In + e Tan"1+ C where a, b, d, and e are integgrs. x+x²+4x+4 What…

A: Differentiate the result of the integral:…

Q: Evaluate the followaing integrals Li (1– 2sin?(x).sin(4x) dx) |

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Q: Evaluate the integral from 0 to pi/2 6 sin5(t) cos(t) i + 3 sin(t) cos2(t) j + 8 sin(t) cos(t) k

A: Given:  ∫0π26sin5tcosti+3sintcos2tj+8sintcostkdt To determine: The value of given integral.

Q: In evaluating x+2 dx by substitution, if u =x+2 then what will be the resulting indefinite integral…

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Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

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Q: 5. Which integral requires more work to evaluate? sin“ x cos“ x dx 798 sın x cos x dx or Explain…

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Q: Evaluate the integral using the given substitution. sin- dx Select one: A.-1 +1 sin2 + C x 2 3 B.-1…

A: Given information:-

Q: Evaluate the integral, if it exists.  ∫01v2 Cos (v3) dv

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Q: The resulting integral of form --F(0) +C. de has the What should be the value of e to make F(@)=0?

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Q: Evaluate the integrals

A: We have to evaluate the definite integral: ∫-ππ1-cos2 t32dt We know the trigonometric identity, cos2…