Please answer the following definite integral question using u- substitution. DO NOT solve using trigonometric substitution | VI - a – |2| dæ Calculate -1

Q: aluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: 2х +11 ) da x²+x-6 p2.

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Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

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Q: X +25 x = 5 tan(0) 'xp

A: Given: - The Indefinite integral is,  ∫x3x2+25dx, where x=5tanθ To find: - The solution of the given…

Q: V1 +x² – 1 In dx 8. xV1 +x? + C

A: Solving the given integral.

Q: How to solve the following question. Evaluate the Integral tan4(x) cos5(x) dx

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A: Let's integrate by using trigonometric substitution.

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: Evaluate the following integral: sec? (2) tanº(z) dz = 6 Sec2 OE + C Be sure to enter powers of…

A: NOTE: Refresh your page if you can't see any equations. . substitute  .................put it…

Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

Q: The value of the Definite Integral 4 5 sec² æ dx = Answer:

A: Definite integral: - On the interval [a, b], the definite integral of a real-valued function f(x)…

Q: Evaluate the following integral. .. sin 2x dx sin 2x dx =O (Type an exact answer, using radicals as…

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Q: After an appropriate trigonometric substitution, the integral integrals? O sine. 24 (1-x²)³/2 da can…

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Q: After choosing the appropriate trigonometric substitution the integral 4 x dx, becomes

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Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…

A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…

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

A: By using u substitution method

Q: How to solve this integral via trigonometric substitution?

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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: Use the given substitution to evaluate the integral

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

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Q: Set up a reference triangle and use it compute the given integral using trigonometric substitution…

A: Given that, In the above integral the term has , In that term numbers stuff is negative and x stuff…

Q: The integral ·S= dx (x²+4)² can be transformed to which of the following when trigonometric…

A:

Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: The definite integral | '[tan2(x) + sec2(x)]dx when evaluated is equal to A/3 +Br, where A, B are…

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Q: 9.

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Q: dx 9–x²

A: To solve the given integral we substitute first x by 3sin(θ) then again substitute cot(θ) by v, we…

Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: If you are going to evaluate the integral f dx using trigonometric substitution, the answer is 2(tan…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (n²z6 – z®)ždz

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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: 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: Evaluate the following definite integral. Simplify completely and give your answer in exact form. /3…

A: The given integral is  I=   ∫π6π3secθcosθ-tanθcosθdθ Separate the integral and use the identities…

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

A: Use substitution

Q: Using substitution with u = sin(2z), the definite integral si "sin®(2x) cos(2r) dr is equivalent:…

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Q: Evaluate the integral using Trigonometric Substitution and applying Wallis' Formula: S * (9 –…

A: To solve the following integration

Q: x = 9 tan 0 is an appropriate trigonometric substitution for the integral Select one: O True O False…

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Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught…

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Q: sin $ 3 y cos*3 ydy

A: We have to solve above integral

Q: 1 To evaluate the integral dx, using a trigonometric substitution, which x2 + 6x + 13 substitution…

A: Make the denominator in standard form than do the substitution such that integration become simpler.

Q: After choosing the appropriate trigonometric substitution the integral | x2 - dx, becomes

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Q: 27n 4 cos x sin x dx 7/3

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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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Q: What is the value of the integral f sin(6z) arctan(sin 3r)dr? a) 3(7 – 2) b) c) d) 6(* - 2) e) - 3

A: Let  I=∫0π6sin(6x)·tan-1sin3x dx =∫0π6(2sin3x·cos3x)tan-1sin3x dx   ∵sin2x=2sinx cosx Assume,…

Q: Which integral below results when an appropriate trigonometric substitution is applied to the…

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