(a) sec2 aV1+ tan3 a dx, u = tan x sec-

Q: cos(8) cos (sin(0)) de

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Q: Use the substitution u = x + Vx +5 to evaluate the definite integral dx I = Va2 +5 Give an exact…

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Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the…

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Q: Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10…

A: The given integral is: I=∫21x2-100x4 dx

Q: Evaluate the following integral. dx (225-x²) What substitution will be the most helpful for…

A: We have to determine integral

Q: Consider the integral x sin(rx?) dx. Use either of the two methods of substitution for definite…

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Q: Consider the indefinite integral- dx: (x5 +2)° This can be transformed into a basic integral by…

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Q: Use a substitution to change the integral into one found in the table of integrals, then evaluate:…

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Q: 1. Evaluate the indefinite integral and check your answer by differentiation 6dx a) S (z – /2) b) J…

A: To evaluate the indefinite integral. a)  ∫6 dxx - 23 b) ∫cos2x2 dx

Q: Use your paper to show the work and answer to the following indefinite integrals. Given: [(3x +1)Vx…

A: we have to find the indefinite integral

Q: - be-6x dx: - Consider the indefinite integral (e-6z + 5)3 This can be transformed into a basic…

A: We have, the given integral as I=∫-6e-6xe-6x+53dx Let us consider that,…

Q: Let f(x) = and calculate x(In(x)) f(x) dx by using integration by substitution. What was your…

A: Given that: f(x)=1x(lnx)6

Q: ∫tan^3(x)⋅e^(tan(x))⋅sec^2(x)dx

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Q: Consider the indefinite integral in(2))" dz: This can be transformed into a basic integral by…

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Q: 15 dx, x8 %3D du=2x dx

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Q: Calculate by using integration by substitution, 6 . • X dx x4 + 2 What was your substitution? u =…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 2(1 + tan?(a)) da 2…

A: We will solve this problem in following steps

Q: +C. What should be the value of e to make F(0) =0? cos-sino de has the form 2 2 The resulting…

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

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos(6) cos (sin(6)) de

A: The power rule of integration states that ∫vndx=vn+1n+1.

Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: + 16 Evaluate the integral: – 29 -dx ‚2 /x² + 16 (A) Which trig substitution is correct for this…

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Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: беба Consider the indefinite integral /- dx: (ebz + 2)° This can be transformed into a basic…

A: Substitution is used to make the complex integral easy.

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) sin 20…

A: We know that , sine formula    Sin ( 2x ) = 2 sin x cos x

Q: 1. For Parts (a) and (b), use the indicated value of u to rewrite the given integral in terms of the…

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Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

A: Given that ∫051x23dx, we have to evaluate the following improper integral.

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

A: We will find the value of theta.

Q: Use your paper to show the work and answer to the following indefinite integrals. Given:…

A: Answer

Q: Consider the integral ∫cos(y)/sin(y)+1 dy; This can be transformed into a basic integral by…

A: Solve the integral by using the substitution method

Q: Evaluate the integral and check your answer by differentiating. sec(x) + cos(x) dx 9 cos(x) + C

A: Formula : ∫sec2x=tanx+c

Q: Consider the indefinite integral (In(z))² dz: This can be transformed into a basic integral by…

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Q: (x² + 2x) cos(2x) dx

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Q: (a) / sin(e®") cos(e®= )e&# dr, 6x u = e2¤ (b) | T – 5)3/2 28 dx, u = x3 -

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Q: Pat made the substitution x - 3 = 7 sint in an integral and integrated to obtain f (x) dx = 9t – 2…

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Q: In evaluating x+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite integral…

A: We will evaluate this as shown below

Q: Consider the indefinite integral a . V - 4 dr: This can be transformed into a basic integral by…

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Q: - sin(y) dy: cos(y) + 7 Consider the integral- This can be transformed into a basic integral by…

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Q: 1. For Parts (a)-(b), use the indicated value of u to rewrite the given integral in terms of the…

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Q: Let f(x) = x2 ( + 2) and calculate f(x) dx by using integration by substitution. What was your…

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Q: Consider the indefinite integral a3. Vx* + 5 dx: This can be transformed into a basic integral by…

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Q: Show that the integral represents the indicated function. Show your work in detail. cos xw + w…

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Q: Evaluate the following improper integral or state that it diverges. ro03 cos () dx J2 (Be careful of…

A: Our Aim is to integrate ∫2∞3 cos π2x2 dx  -(i)

Q: (a) Consider the integral dx. Why can't this integral be computed using the Fundamental Theorem of…

A: Solution for a: Given integral is ∫-111x2dx We can write the above equation as…

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. S-…

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Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

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

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Q: Pat made the substitution x − 4 = 6 sin t in an integral and integrated to obtain integral f (x) dx…

A: The substitution made by Pat:

Q: Express the integral in terms of the variable u, but do not evaluate it. 14.x-13 dx; u = 14x 13 -…

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