Find the exact value of 1 - O sin(√2) O cos(√2) cos(2) O ln(1 + √2) O e ² 2 2! +4 8 6! + 16 8! 32 10! +...

Q: Rewrite – 2 sin(r) + 3 cos(x) as A sin(z + o) A = $ =

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Q: 9 sin³ (3x) dx Evaluate O-3 cos (3x)+cos³ (3x) + C O 3 cos (3x) - cos³ (3x) + C O 3 cos (3x)+cos³…

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Q: Watch the video on the integral of sin(ax)cos(bx) and the video on the p two cosines with different…

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Q: d sin (x)cos (x)x 1+ cos (x d x 2/1+ cos (X

A: Given:-ddxsin(x) cos(x)×1+cos(x)1+cos x2ddxsin(x) cos(x)212  ddx sin(x) cos(x) product rule for…

Q: dx. sin(2x? + 1) Evaluate In|csc(2a? + 1) –- cot(2a² + 1)| + C 4 O - cos(2x? +1) + C O 4 ln|csc(2a?…

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Q: aluate ㅠ - π 2 cos² (9x) dx.

A: Remember :  cos(2x)=2cos2x-1⇒cos2x=1+cos(2x)2 we have to find  ∫-ππcos2(9x)dx

Q: c. sin"(t)- cos (t) = 2sin (t)-1 = CS d. cot (2y)+cos?(2y)+ sin (2y) = csc²(2y)

A: Given,  c. sin4(t)-cos4(t)=2sin2(t)-1d. cot2(2y)+cos2(2y)+sin2(2y)=csc2(2y)

Q: sin2 (풀) + cos2 (풀) =

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Q: I need help with proving this identity

A: LHS=RHS Show in explanation section.Explanation:If you have any problem let me know here in comment…

Q: L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a)…

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Q: | 12 csc² (62) cot(6) dæ = 12 csc (6x) cot(6x) dx : (Use Substitution Method) %3D 12 12 +C 12 sin?…

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Q: Which of the following is true? cos(x) + cos(7x) A Scos(3x)cos(4x)dx = J 2 J sin(4x)cos(3x)dx = […

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Q: Find L-1 {In (1 + s²) }

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Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: cos(3rk) In k 5k k 1

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Q: 4 L-1 s3 + 4s (A) [1 – cos 2t] (B) [1 – cos 2t] (C) [1 – sin 2t] (D) 1– cos 2t (E) [1+ cos 2t]

A: Given L-14s3+4s

Q: x* + 3 dx x² + 3x + 1 4. 00

A: Given: ∫-∞+∞x4+3x2+3x+1dx

Q: 1 1 d [x] d [y] Cos

A: To evaluate ∫01∫y1cosyxdxdy Let I=∫01∫y1cosyxdxdy By changing order of integration, it becomes…

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: ( sin(3x+1) cos?(3x+1) Evaluate

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Q: Solve the given initial-value problem. y" + 4y' + 5y = 35e-4X, y(0) = -4, y'(0) = 1 %3D y(x) =

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Q: sin?(꽃) + cos? () + tan2 (품) 2 1/2 1 1/2

A: We will find the solution in the following step.

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: Integrate 0 1 S √1 1-4x2 dx using a trigonometric substitution. sin-¹ (2x)√1-42²+ C 0 1 -sin-¹ (2x)…

A: The given integral is sqrt(1-4x2).

Q: 1 L- s3 + 4s (A) (1 – cos 2t] (B) (1 – cos 2t] (C) (1 – sin 2t] (D) [4 – cos 2t] (E) [1+ cos 2t] Ο Α…

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Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

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Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

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Q: The function f(x) = x+ O Even O Odd x+cos (5 €) is O None of the above

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Q: Compute sin(sin-(2/3)) O 2/3 This quantity does not exist.

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Q: sin(48) cos(48x) dæ : О576 O -2 O 2

A: We have to find the value of definite integral

Q: Which of the following integrals represents the area of the intersection of r = 5+5 sin(0) and r= -5…

A: Given that  The regions  To find the area between the regions

Q: 8 cos5(α)/(sin(α))1/2 dα

A: