7/2 2. S 0 cos xdx 5+4 cos x

Q: sin x dx cos3 x – 8 - 8

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Q: S 2 cos x - 4 sec ²x dx

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Q: cos(7) -dp. 1 – cos²(x) 1. Evaluate

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Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where…

Q: 7x Cos + COS cos 2.

A: According to trignometry formula:cos a +cos b =2cosa+b2 cosa-b2Given,cosx2+ cos7x2a=x2; b=7x2

Q: 311 = Sinx %3D COS

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Q: .3 Cos x + cos x dx Vsin a 3,

A: Given…

Q: 2x3 sin? x + x4 sin³ x – 3 sin² x + x* cos x 2 . dx x4 sin² x

A: I have stated the used formulas in the solution

Q: 4 cos x + 2 sin r = 2 COS

A: As we know, Sin2x + cos2 x = 1 Since the interval is not given so we have to find general solution

Q: Cos(x+(4pi/3)

A: Cos(x+y) = Cos(x)*Cos(y) + Sin(x)*Sin(y) We have given  Cos(x+(4π/3)) = Cos(x)*Cos(4π/3) +…

Q: /2 3 d.x 2 cos x +1 -7/3

A: Given, ∫-π3π232cosx+1dx We have to evaluate the definite integral.

Q: x* + 3 dx x² + 3x + 1 4. 00

A: Given: ∫-∞+∞x4+3x2+3x+1dx

Q: 3t test cos 6t

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Q: 1 7. sin0 tan0 + cos0 = %3D cos0

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Q: π/2 COS X 1 + sin² x dx

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Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: (sin 20+1)d0 4. S sin²0+0

A: Given: I=∫(sin2θ+1)dθsin2θ+θ

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: eft co Evaluate cos² (9x) dx.

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Q: 1 cose sin 0 2/3 2 csce: 3

A: Explanation and solutions is given below....

Q: dx 3. S. 5sin x+12 cos x

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Q: 大 1-cos X P-V= 2

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Q: (D² +1) y x COs x

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Q: 5. (1+ cos 3x ) dx

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Q: /2 97. 3 sin x cos x =dx VI + 3 sin²x

A: Integral problem

Q: L{4 sin 5t + 7 cos 6t}

A: