-discuss whether the following integral is right or wrong? J(tan- (*)°dx = x(tan-1()* - x + (1+ x²)tan-1x + c

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

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Q: 3 Evaluate the integral c Ħ A) 1 B) 77 c) - Ť tan?xdx E)ユ-

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Q: following statements about integrals is true? tan(x) dx = In |sec (x)|+ sec(x) dx = tan(x) +C

A: We have to choose the correct answer from the given options according to the given information

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

A: Explanation: Given that, ∫tan52xcos42xdx

Q: Which integral can be used to evaluate / sin2(x) cos7 (x)dx? Select the correct answer below: O /…

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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: 7. Evaluate the integral. J CoS X dx 0 1+sin2x

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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: Evaluate the integral n/2 sin x cos x dx

A: This integral can be solved by the general formula of integration.   Integral ( 0 to Pi/2) sin^mx *…

Q: Evaluate the definite integral. n/4 sin(t) dt cos²(t) COS

A: We have to find out

Q: hcos.x sinx dx co.x

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Q: 5. Use the following property of the definite integral to estimate the definite integral: f/ cos x…

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Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

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

Q: discuss whether the following integral is right or wrong? |(tan-(x))°dx = x(tan-"(x))* – x + (1 +…

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

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Q: Evaluate the iterated integral. 1-sin 0 r cos 0 dr d0 1-sin 0 cos 0 dr d0 =

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Q: Evaluate the integral sin3 x + cos? x + 1 dx J sin² x (cos² x + 1)

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Q: 6. Evaluate the integral. S-11 sin x cos(cos x) dx

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Q: Q3) Evaluate the following integrals: sec(tan-1x). tan³ (tan-1 x) A) y = S dx 1+x2

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Q: Evaluate the integral.  integral  cos 2 x sin 2x  dx

A: Given integral to evaluate  ∫cos2xsin2xdx substitute sin2x=2sinxcosx ∫cos2xsin2xdx=∫cos2x2sinxcosxdx…

Q: Q2) Find the integral of: 6 tan*x dx

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Q: 5. Evaluate the integral: Jsin?x cos'x dx

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the indefinite integral. S(sin(x) cos³ æ)dx cos r +C 3 а. O b.- ote +C cos r 4 sin a d. + C 4…

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Q: dx a. Evaluate the integral sin x-cos X

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Q: evaluate the integral.

A: To evaluate the given integral.

Q: Example: Evaluate the following integrals. 1. / sin x cos" x dx 2. sin? x cos" x dx

A: To evaluate the following integral

Q: For years, mathematicians were challenged by the following problem: What is the area of a region…

A: according to given figure shaded areaA is given by A=∫abdx1+x2…

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 1/2 | (cos x- 4) dx -1/2…

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Q: Compute the definite integral. ? 0 6ex sin(x) dx

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Q: Find the general indefinite integral or evaluate the definite integral, as necessary. a) S sin nt…

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Q: Which of the following is not an improper integral? cos x dx cos x dx 1 dx cos x 1 dx cos x 8.

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Q: Evaluate the definite integral. esin (a) cos(x) d x

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Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: Compute the indefinite integral. - sin z dx COS X Answer: + C

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

A: Integration

Q: Evaluating the integral (cos x- 2sin x)dx gives: А. -2 В.О С. 1 D. -4

A: Option D is correct Explanation is given below

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: Evaluate the definite integral. I's 5 cos(nt/2) dt

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Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 9n/2 | (cos x - 1) dx -…

A: According to question given ∫-9π29π2cosx-1 dx

Q: Evaluate the integral. 14 sin (x) cos (x) de

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Q: 1) (. . ' Evaluate the following indefinite integrals. g) / sec² x.e²-tan z sin r cos® xdx dx

A: Integration problem......

Q: 3- Evaluate the integral sin(In x)dx

A: We have to use integration by parts 2 times here.

Q: 3) Evaluate the following integrals. a) | cos(tan(x)) sec (x) dx

A: Given that ∫cos(tanx) sec2x dx first let us simplify and then integrate

Q: Evaluate the integral cos (x) sin(x) dx 13 using the substitution u = cos(x). cos(x) sin(x) d.x ,13…

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

Q: 2. Find the following indefinite integrals. (a) / sin(In(x)) xp (b) / º etan-(x) dx x2 + 1 sin(t)…

A: (a) ∫sinlnxxdx Let; lnx=t⇒1xdx=dt     =∫sint dt=cost+C put again: t=lnx =coslnx+C Result:…

Q: 430 CHAPTER 5 Integrals 32. sin(In x) dx

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Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-∫cos (x)2+sin (x)dx-(i)