Evaluate the definite integral. 1 2 sin-'(x) dx /1 – x²

Q: Evaluate the definite integral. 1/2 (sin x)19 dx dx Jo

A: Explanation of the answer is as follows

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: Evaluate the indefinite integral. sin(-3x) dx +C.

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Q: 16. Use substitution to find and evaluate the definite integral. Give your answer in exact form. T/3…

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Q: 12. Determine the definite integral 7 sint 0 cos3 0 de

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Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. 3x…

A: We have to find the given integrals.

Q: 4) evaluate the following definite integral: T/2 3 sinx cos x let dx 1 + 3 sin? x

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Q: Evaluate the definite integral. 3π/ 2 7|sin(x)| dx

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Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

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Q: Evaluate the definite integral (if it exists) 1/3 -4 sin(x) dz cos² (1) If the integral does not…

A: Substitute cos(x)=t⇒-sin(x)dx=dt At x = 0, t = 1 At x=π3, t=12 The definite integral is: I=4∫112dtt2

Q: Evaluate the indefinite integral.  ∫sin(3x)cos(6x)dx=________________ +C

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Q: 2) S cos? x sin3 x dx

A: The given integral is: I=∫cos2x sin3x dx=∫cos2x(sin2x)sin x dx=∫cos2x(1-cos2x)sin x dx

Q: If fex) x2 f'co) 19+ t? dt find f'c3) %3D

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Q: 16. Evaluate the indefinite integral / (x³ – 5 sin x ) dx. |

A: We have to evaluate the integral ∫(x3-5sin x)dx

Q: Find the definite integral.

A: The given integrand is, fx=-sinx. The limit of the integration is, -π to 2π3. The objective is to…

Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. x/3…

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Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

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Q: 4. Find the following indefinite integrals: 6 sin(x) cos(x) (a) S sin? (x) + 1 dæ;

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Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

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Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: Evaluate the definite integral. * 37/2 8|sin(x)| dx

A: given that ∫03π28sinxdxSolution…

Q: 1. 2²₂(3x-4)dx

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

Q: 4. Evaluate the definite integrals below using anti-derivatives and, if needed, the integral rules:…

A: a. Use the formula  to solve the given function as follows,   Simplify the expression as follows,…

Q: Find the indefinite integrals of the following functions. 2 sin(x) + 3 cos(x)

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Q: 22. sin x sin(cos *) de

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Q: (g) et +1 dx (n) dx 2 sin“ x

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Q: Evaluate the definite integral: 2, 1 sin 0 + cos 0 +1

A: Given that: ∫0π21sinθ+cosθ+1dθ

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd .

Q: Evaluate the definite integral. r1/16 sin-1(8x) dx Jo V1- 64x2

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Q: 6. Evaluate the following definite integral using the fact that sin x dx = 1. S. | (2 sin x + 3) dx

A: ∫0π2(2sinx+3)dx Take integral for each term ∫0π2(2sinx+3)dx∫0π22sinx dx+∫0π23 dx2∫0π2sinxdx+3∫0π2dx…

Q: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

Q: Evaluate the definite integral. 57/4 2ecos (z) sin(x)dx CoS (

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Q: Evaluate the indefinite integral. 9 sin (2)cos(z)dr + C

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Q: cos (x)sin(x)dx

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Q: Evaluate the indefinite integral: cos° x sin x dx

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Q: Evaluate the definite integral: 2 1 de sin 0 + cos 0 +1

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Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

Q: Evaluate the definite integral. *1/2 5 cos(x) sin(sin(x)) dx

A: Use the substitution u = sin(x) to evaluate the integral.

Q: Evaluate the following definite integrals Lx finck if fo for if xxO (sin x 1 x >0

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Q: 1. Evaluate the indefinite integral cos x sin³ xdx. 2. a) Evaluate the indefinite integral cos“ xdx.

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Q: Evaluate the definite integral. 7/2 (sin x)7 dx =

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Q: '1 1 use this fact and the properties of definite integrals to evaluate 3 (6 – 9x²) dx. Given that…

A: follow next step

Q: a) Evaluate the integrals using appropriate substitutions. Sine ii) S - de Cos20+1

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Q: sin 3x cos 5x dx

A: ∫0π/8sin3xcos5xdx here we use formula  sinacosb = (1/2)[sin(a+b) +sin(a-b)]

Q: Evaluate cos/dx 2 1) co S

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Q: 1.Evaluate ∫[tan^3(θ)/cos^4(θ)]dθ  2.Evaluate ∫cos(x)e^(sin(x)) dx 3.This result is a…

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Q: (7) Evaluate the definite integral. | sin?t cos tdt

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Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

Q: Determine the definite integral 3 sin* 0 cos³ 0 d0

A: Let I is the value of given Integral