Find the indefinite integral using the substitution x = 2 sin(?). (Use C for the constant of integration.)   S 1/ (4 − x2)3/2dx

Q: Find the indefinite integral using the substitution x = 4 sin(8). (Use C for the constant of…

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Q: In solving for the -dx, what technique is suited to solve for its integral? x²+1 A integration by…

A: Let I = ∫ x3 + 1x2 + 1dx = ∫x3 ( x2 + 1)dx + ∫ 1x2 + 1 dx, As we know ∫ 1( x2 + 1) dx = tan-1 (x) ⇒I…

Q: Find the indefinite integral. (Use C for the constant of integration.) 4. do cos(0)

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Q: 2. Find the following indefinite integrals. Use Substitution and/or Integration by Parts when needed…

A: a) Evaluate  ∫sinθcos4θdθ         ...(1) Simplification: Put cosθ=t⇒-sinθdθ=dt in (1)…

Q: 1 dx V1-x π S"(4 sin 2x + 6 cos 3x + 1)dx

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Q: 2. Find a) ³ dx b) xdx. Hence, find whether the following integrals exist and, if they do, find…

A: To evaluate the given improper integrals

Q: Find the indefinite integral. (Use C for the constant of integration.) fe- cos 90) de

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Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 40 V cos 49 de

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Q: Find the value of the following definite integrals. Show your solution. 1. L* + 4) dx 2. f(cos x +…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We substitute -x²+7 by a variable u.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

A: We first try to complete the square. -x2-12x=-(x2+12x)=-(x2+12x+36-36)=-(x2+12x+36)-(-36)=-(x+6)2+36…

Q: Find the indefinite integral. (Use C for the constant of integration) S cos h² (x – 7) sin h(æ – 7)…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Integrate the above function

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 40 de

A: To find: ∫sin44θ dθ Trigonometric formula, sin2x=121-cos2xcos2x=12cos2x+1

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x 6 + cos2 x xp

A: indefinite integration

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin 48 de

A: The integration of the integral is sin4(4 theta).

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 20 cos 20 de

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Q: 2 Using substitution, the definite integral 3x2 dx is equivalent to /x³ + 1

A: To find the correct option.

Q: Find the indefinite integral using the substitution x = 2 sin(0). (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(7T/x15) х16 dx

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Q: C for the constant of integration.) Evaluate the definite integral. (Use sin(23x) xp 1 + cos (23x)…

A: The given integral is,

Q: What is the value of the definite integral | (-4x° – 3x + 3x – 1) dx? Enter your answer as an exact…

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

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Q: 1. S x² (x+1)4 - dx

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Q: Use a suitable change of variables to determine the indefinite integral. (Use C for the constant of…

A: Given the integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 de cos(0) – 1

A: Given integration is : ∫6cosθ-1dθ To find the value of integration. Use trigonometry ratio formula,…

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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Q: xV|x² – 9| + 7 dx

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: Find the indefinite integral. (Use C for the constant of integration.) xp -8 cos +C x

A: Here we have to find the indefinite integral.

Q: Solve the following integral using the method of integration by parts. Include all your workings for…

A: Integration by Parts: Integration by parts is used to integrate the product of two or more…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 30 cos 30 de

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

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Q: Find the most general antiderivative or indefinite integral. 2. cos 7x - csс"x) dx

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Please see the answer in step 2

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We evaluate given integral

Q: (b) Solve the following integral using the integration by parts method. x2 sin тx dx (ii) e* cos 3x…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I COS(π/X⁹) dx X10

A: We have to evaluate the given integral- ∫cosπx9x10dx Here we will use the following formulas-…

Q: Find the indefinite integral. (Use C for the constant of integration. 9. de cos(8) – 1

A: The given integral is ∫9cos(θ)-1 The trigonometric identity is cos θ=1-2sin2θ2 Integration of…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 6 + cos? x

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Q: 2. Use the substitution method to determine the following indefinite integrals: (a) / cos(2r) dæ (b)…

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Q: f(x) = e-* cos(2x) dx

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Q: Find the following indefinite integral x^3 e^x^2 dx

A: Given integral

Q: For the integral below, determine the recommended integration technique used to solve the integral.…

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Q: -x+cos x Using appropriate substitution, the integral S dx is an e-x+sin x equal to:

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