4) l a sin(ex) cos g dx 3 dx 5) (x - 2)° 3

Q: Find the indefinite integral in two ways. Explain any difference in the forms of the answers.…

A: If mentioned: Since you have submitted two questions, we'll answer the first question. For the…

Q: Express lim Σ n → ∞i=1 3 n ( n 3i + COS 9/² 2 as a definite integral

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Q: How do I evaluate the indefinite integral?

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Q: 18tan"x Sec-x dx (िकपन इ)"

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Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: Evaluate the integral | tan° 2x dx 5

A: Solve the given integral.

Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: 1. Jx cos 3x dx Sx² cos x dx 2.

A:

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: Find the indefinite integral.

A: The indefinite integral ∫f(x)dx is the function F(x) such that F'(x)=f(x). The function F(x) is…

Q: 2х2 -бх+4 dx X-3

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Q: ds 1 (4 = V16 = s² 7. sv16 – s2 4 -In +C

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Q: 8 X COS X x2 − 5+6 -dx.

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Q: (3x² + 1 +) dx 2х2

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Q: 62-a2 x dx = cos(x) dx = 1, together with the properties of definite integrals, to evaluate (2…

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Q: Find the trigonometric integral. (Use C for the constant of integration.) (cos(20))(sin(0) +…

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Q: By Cauchy's integral formula show that, Se" esin e -2n cos(cose) de = 2n; "esine sin(cose) de = 0 0,

A: Cauchy's integral formula : Let U be an open subset of the complex plane C, and suppose the closed…

Q: i ösin° ( 4x) cos (4x) cos" (2x)dx

A: To Solve the definite integral:∫0π45sin3(4x)cos2(2x)dx

Q: the integral expression on the left to an equal expression on the right. (cos(x)-cos(7x))dx ots…

A: We will solve the integral.

Q: The resulting integral of -sin0 de has the form sin 2 2 cos +C. What should be the value of 0 to…

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

Q: 7. Find the integral of the hyperbolic function below. 6 sin(x) cosh[cos(x)] dx

A: Evaluate: ∫6 sinx coshcosx dx

Q: Find the indefinite integral.

A: Given,∫2sinxcosxdxwe need to find the indefinite integral

Q: Evaluate the integrals showing all steps. Give the exact solution. 17x° cos x ) dx

A: Then we integrate by parts

Q: (6). Find the exact value of the definite integral by geometry. 2x +5 dx 1

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Q: Q2.) Using Trigonometric Integrals (Answer one only 1): S sin 5\3 X sec³ x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: гл/2 (3 cos(x) – 2x) dx. л/2 Given that use this result and the fact that cos(x) dx = 1, together…

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not…

A: We have to write the trignometry substitution we have to use

Q: (A very cute proof ) I want you to show using integration by parts that sin(mx) sin(nx) dx = 0 if m…

A: To show: ∫0πsin(mx) sin(nx) dx = 0 We know that, Integration by parts ∫u dv = uv - ∫v du Suppose, u…

Q: this integral is solve by trigonometric Substitution with the side of a triangle and i need help

A: Integration: ∫x21+2x3dxLet, 1+2x=z            2dx=dzx=z-12

Q: The first step to solve the integral of (sin x)^4*(cos x)^3 dx is transform the problem by using…

A: The given integral can be solved using u integration.

Q: Find the indefinite integral ∫ 2sin x cos x dx

A: The given integral is ∫2sin(x)cos(x)dx

Q: (-4 sec Xtanx-7sec K,

A:

Q: For this pair of integrals, determine which one is more difficult to evaluate. Explain your…

A: ∫sin456xcosx.dx and  ∫sin2xcos2x.dx

Q: TC 4. sin(2x) cos(2x) dx

A: To evaluate the definite integral

Q: V3 x csc(1 – x²) cos(1 – x²) dx 3 25.

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Q: sec*y dy 6. 8

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Q: 5. sin² 4y cos? 2y dy

A: Given: I=∫0π4sin2 4y cos2 2y dy  ……1

Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform.

Q: 2. sin t sin 2t dt

A: Our Aim is to solve the integral given below:-∫sin (t) sin (2t) dt -(i)

Q: | sin(ax) cos(ax) dx

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Q: (n) /* dx sin? 4

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Q: 2. sin (3x) cos3(3x) dx

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Q: Suppose you calculated an integral using the trigonometric substitution x = 3sin(0), and got your…

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Q: cos 4x cos 6r dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: e3 cos 2x sin 2x dx

A: Given: ∫e3cos2xsin2xdx To determine: The value of given integral.

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx