2 To evaluate the integral (384 + 576 sin(t) + 216 sin (t)) dt, we recall the trigonometric identity,

Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: 4. Evaluate the trigonometric integral. sin³ 0 cos? 0 de 3

A: Given that,

Q: Compute the indefinite integral. sin x dx cos x 1 - Answer: + C

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Q: 3 Which of the following is equal to sec 2 x tan?x dx to obtain the correct indefinite integral? A)…

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Q: The resulting integral of sin -cos- sino do has the form --F(0)+C. What should be the value of e to…

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Q: 5. Evaluate the integral. e cos 0 sin 0 de

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Q: Consider the integral cos x . dx where k is a positive integer. Using the methods discussed in…

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Q: use the method for odd powers to evaluate the integral.

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Q: Evaluate the integral. 1/2 | [2 cos ti- 3 sin 7t j+ sin? 2t k] dt

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Q: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are…

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Q: 1 /- To evaluate the integral dx, using a trigonometric substitution, which substitution should you…

A: Evaluating integral by trignometric substitution

Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: Evaluate the integral. 1/20 cos,10x sin 10x dy dx

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Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

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Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…

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Q: 2. Evaluate the integral. COS X dx sin? x

A: Given- ∫cosxsin2xdx To Find- The value of the integral.

Q: The integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* | + C. Where A, B, and C…

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Q: Use the value of the first integral I to evaluate the two given integrals.

A: Given: I=∫0π2cosθ-2sinθdθ=-1 we know that ∫abfxdx=-∫bafxdx

Q: Using substitution with u= sin(2x), the definite integral | 4 sin³(2x)cos(2x)dx is equivalent to (A…

A: The given integral is ∫0π4sin32xcos2xdx.

Q: Evaluate the integral: ∫cos^3(t/5)sin^2(t/5) dt

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Q: Consider the integral / sin*+1x - cos x dx , where k is a positive integer. Using the methods…

A: By using u substitution method

Q: Consider the integral | cos* x sin'x dx , where k is a positive integer. Using the methods discussed…

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Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C…

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Q: Evaluate the definite integral 2 (sin t, cos t) dt. COS 7/2 Select the correct anSwer helow:

A: We have to find out

Q: Suppose that a friend of yours has decided to solve a certain integral using trigonometric…

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Q: 17 + sin w sin(1+ cos w)) dw 7-2w

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Q: Evaluate the integral. ∫0 π Cos 6θ dθ

A: Consider the following integral: ∫0πcos6θdθ Consider the following equation: I=∫cos6θdθ Consider the…

Q: Evaluate the indefinite integral. | cos(8z) /4 – sin(8z) da = +C.

A: Let I is the value of given Integral

Q: Evaluate the integral. 28) sin dt A) -cos B) cos C) 5 cos + 6 D) COS 1/5 +

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Consider the integral cos“ x · sin'x dx , where k is a positive cos“ x• integer. Using the methods…

A: ∫coskx . sin3x dx∫coskx . sin2x .  sinx dx∫coskx . (1-cos2x) .  sinx dx               ( sin2x =…

Q: The integral of (10*/cos 10*)dx may be written as A In sec B* + tan B* | + C. Where A,„B, and C are…

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Q: 1-sin x dx 1-cos x 2

A:

Q: Given SV-x* + 4x + 5 dx. Using trigonometric substitution, what is the integral form in terms of 8?…

A: Trigonometric identities: sin2θ+cos2θ=1cos2θ=1+cos2θ2 If an expression is x2+bx, then we need to add…

Q: The integral O x dx can be transformed to which of the following using trigonometric substitution?…

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Q: e resulting integral of s sin sin(0) do has the form --F(0)+ mat should be the value of 0 to make…

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Q: Using substitution with u = sin(2x), the definite integral sin (2x) cos(2x) dx is equivalent to ...…

A: Use substitution

Q: Evaluate the integral. sin (3u + 7) du dv dw 0 00 2 O A. z cos 7 1 O B. 국COS 7 OC. 1? cos 7 1 O D. 1…

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Q: sin³ x cos² x dx

A: We have to evaluate the integral: ∫0π2sin3 x cos2 x dx Rewriting the integral, ∫0π2sin3 x cos2 x…

Q: The resulting integral of sin-cos-sino de 2 2 has the form -(0)+ C· What should be the value of o to…

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

Q: Evaluate the integrals ∫ 1/cos 2θ sin θ dθ

A: Solution:- The given integral is  I=∫1cos2θsinθ dθ

Q: Evaluate integral S (2 sin a + 4 cos z) dæ

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Q: The resulting integral of sin-cos-sine de has the form --F(0)+C. What should be the value of e to…

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Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of…

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Q: Evaluate the indefinite integral. cos(8x) -dx 1 + sin²(8x) Answer: +C

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Q: 5) Determine the following indefinite integral cos (3x) (1 – sin(3x))(2 – sin(3x)) -dx

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Q: Evaluate the iterated integral. cos(e) 7r° sin(0) dr de /3

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Q: (10,00 Puanlar) /6 7 - What is the value of the integral sin(6x) arctan(sin 3x)dx? c) “ d) 6(1 - 2)…

A: This question is related to integration.

Q: Evaluate the iterated integral. * TI/4 cos(8) 3r2 sin(0) dr de

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Q: If you are going to evaluate the integral f cos x v9 + 25sin-x dx using trigonometric substitution,…

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