Question 7 What is the integral of f cos (2t)dt? O None of the choices cos (2z) sin(2r) 3 cos(2t) sin(2t) ++C 16 sin(8t) + sin(4t) +24 64 0 1+ 글sin(4t) + 습sin(8t)] + C « Previous

Q: Question 19 Let F(x) -1. √1+t¹ dt for x in (-∞0, ∞o). Find F'(- 5 sin z O F'(x) = -√1 + cos²x O…

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Q: Number 15 please

A: First distribute the denominator with both terms in numerator.

Q: 7. Prove: sin(t) dt sin(1) + cos(1) 4

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Q: The integral of the given function | cos(9x) cos(5x)dx is equal .. 14 sin 4x + 4 sin 14x А. · + C 12…

A: This question can be solved by applying the formula of 2.cosA.cosB

Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: Question 4. (1) [x³² √x² + 4 dx. X3 sin (In x) X (ii) S -dx. Evaluate the integral: (iii) Choose a…

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Q: Question 1 π 2x Evaluate the integral cos(xy)dydx 4

A: ∫45∫0π2xcosxydydx

Q: 2 WWw -21 2T -TT TT -2 -4 -6 s(2) = 3sin(x + )-2 f(x) = 3 sin x + 4 A) f(x) = 3 sin 2x + -2 B) f (x)…

A: Please go through the attached solution.  Thankyou . Best regards.

Q: Step 3 Substitute cos 60 = u. Differentiate with respect to 8 on both sides. -6 sin 60 de = du Step…

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Q: 3(2 + cos t)3 +c Use the appropriate substitution to evaluate the following integrals: . sint (2+…

A: Solution is given as below:

Q: A B O A OB O OD 1 13 (sin(3z))¹⁰ + C 1 33 ſ cos(3z)sin¹⁰(3z) dz 1 3 (cos (3z))¹¹ + C F None of the…

A: Here we have to find the integral.

Q: cos(1) dt Using an appropriate substitution, evaluate: [2 + sin(1) ]* ™ 3 A +C [2+ sin(1) ]} B 3[2+…

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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: 14. If we let u = 4x – 1 for the (2tan(4x-1)-3 cos“(4x=1) dx. what will be the cos(4x-1) resulting…

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Q: sin (21 + 1) dt J cos² (21 + 1)

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Question 003: Complete the following question involving Substitution Method. Given the integral dx…

A: Given the integral  I = ∫ 5 sin(4x-1) dx By substitution method, Take u = 4x-1 du = 4 dx  dx = du4

Q: Question 004: Complete the following question involving Integratin by Parts Method. Given the…

A: the given integral is ∫4x*sin5x dx and the substitution information is: u=4xdu=4dxv=-15cos(5x) we…

Q: The integral of the given function | cos 2x cos(-x)dx is equal sin 3x + 3 sinx А. + C 6 sin 3x – 3…

A: Introduction: The indefinite integral is the way to find the function that on differentiation,…

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

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Q: Question 4 Evaluate * 16" sin () (2n)! 3 n=0 given that cosh z 2n (2n)! n=0

A: Evaluate : ∑n=0∞16n sinnπ32n! It is given that, cosh z=∑n=0∞z2n2n!

Q: Question 4 Calculate the given integral: / tan (4x) dx 1 1 a) 능 -tan(4x) + 4x + C tan’(4x) + 12 1 b)…

A: We have to solve the integral

Q: Question Eight:- Evaluate the 20 points following integral sinx d²y 2t2 dt dx2 In x Your answer

A: on using leibnitz rule.

Q: Question 003A: Complete the following problem involving Basic Integration Find the following General…

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Q: у" + 25у %3D 0, у(0) 3 6, у'(0) 3D —4 Y(x) = | 5 cos( 5x) – sin(5x) sin (5x) x

A: We have given differential equation y"+25y=0 with initial conditions y(0) =6, y'(0) =-4 We have to…

Q: Question 8 Calculate the given integral: / sin? (6x) cos°(6x) dx 1 cos (6x) + 1 cos (6x) + C 30 а)…

A: Explained below

Q: Question 3 Calculate the integral: 2x sin(3 x) dx 2 2 a) Ox cos(3x) + sin(3x) + C 2 b) O-x cos(3x) +…

A: Apply integration by parts

Q: 450 400 AA 350 300 250 200 150 100 50 -4 -50 8 16 24 28 36 12 20 32 -100 -150 -200 -250 -300 Dy =…

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Q: Question 10 Calculate the given integral: /2 sec°(4x) dx tan° (4x) tan (4x) +tan(4x) + C b) O tan'…

A: Given that  Integral 2sec^6(4x)  To evaluate the integral

Q: A/6 Evaluate the integral 3cos 3t sin 3t dt. A/6 | 3cos 3t sin 3t dt = (Type an exact answer.)

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Q: · /9" cos(1 – f') dt 17. 9t" cos

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Q: QUESTION 5 Evaluate the integral: S sin?(2x)cos (2x) dx O sin°(2x) sin'(2x) + C 14 O sin°(2x) sin…

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Q: Evaluate x2 dx Select one: on O(sin (2r- 1) + 2(2 (2ain (r) + sin(2si To (stn(2 1I) 2(2r sin(2sin

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Q: Question 1: Evaluate the triple integral [[[ z² sin(x²y)dzdydr 0 4

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Q: ☆ 6. Find the integral of xx²-1 O Sin ¹x + C 4 O Sec-¹x + C Cos ¹x + C Sec-1 (1)

A: Here we have to find the integral.

Q: 1 dt, where g(x) cos x If f(x) = g(x) [1 + sin(t²)] dt, find f'(7/2) %3D /1 + 8 Select one: 21 sin…

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Q: 1. Express as a sum or difference a.) sin 7t sin t b.) cos 6u cos (-4u) c.) cos 2t sin 6t d.) 2…

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Q: 12) f)=sin(x) 0<x<1 Ans. 24 1 (₁ A 7 (1)(3) 1 -cos(2x) +- -cos(4x) (3)(5)

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Q: QUESTION 5 10 If continuous and Jx)dx = 54, then which one of the following numbers can take at…

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Q: Following S sin(A) cos(B) dx = ; f sin(A + B) + sin(A – B), | what is the integral of f sin 5x cos…

A: We have to solve the following

Q: Question 2 Calculate the given integral: / sin“ (6x) cos³(6x) dx 1 1 a) O30 cos (6x) – cos'(6x) + C…

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Q: Which of the following is one of the correct steps to evaluate cos³ dt to obtain the correct…

A: In this we have to find which of the following correct steps to evaluate the given Integral.

Q: Question 1 Calculate the given integral: /cos (7x) sin° (7x) dx 1 a) 규sin (7)-하i (7x) + C 35 sin…

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Q: Question 004: Complete the following question involving Substitution Method. Given the integral…

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Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

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Q: Question 13 5 Point sinx sinx +x Cosx - e +e The integral dr may be written as nsinx me +px + qe…

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Q: St² sin(2t*)dt A 1 (sin(2t*) – 2t*cos (2t*)) + C (sin(2t*) – 2t*cos (2t*)) + C 14 B D (sin(2t*) –…

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Q: Question 3: Find the integrali(using u-substitution) Ses (8x+1) dx

A: To evaluate: I=∫cos (8x+1) dx

Q: Question 002: Complete the following question involving Substitution Method. Given the integral…

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Q: Question 6 Compute the following integral: sin (8z) de 1 4 a) cos(8x) sin*(8x) + C 32 1 cos (8r) + C…

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Q: The integral of the given function cos 2x cos(-x)dx is equal . sin 3x + 3 sinx А. + C 6 sin 3x – 3…

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