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

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A: The given integral is ∫cosx+3dx.

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A: We know that, from basic integral formula ∫tan-1x=xtan-1x-12log1+x2+C          ⋯⋯1 We have, the…

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A: We will use integration by parts to solve this

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Q: sin 0 If 1+cos 0 x2 x2, then tan 2 - a) b) 4 c) x2 + 1 d) x2 |3| 2.

A: Given,  sin θ1+cos θ=x2 To determine tanθ2

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A: Given the following functions                  f1(x)=sin(x1)cos(x2),   x∈ℝ2f2(x, y)=xTy,   x, y∈ℝn…

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

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A: According to our guidelines we can answer only three subparts and rest can be reposted. f5 is wrong.…

Q: Evaluate cos x + 2 cos³ x + 1 dx cos' x cos4 x 7 +x + c 2 sin7 x sint x +x + c cos x +x + c 3. cos X…

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Q: e identity: cos 3x = 4 cos x-3 X So

A: # we are entitled to solve one question at a time please resubmit the other question if you wish to…

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A: Given integral to evaluate ∫cosx-4csc x-3dx=∫1cos4xcsc3xdx…

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Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

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Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

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A: 8.a) sinx5=23 on 0&lt;x&lt;10πb) 2cosx+π4+1=0 on π&lt;x&lt;3π

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Q: 3) [~x cos² (x3/2 - 8) dx , A)sin (x/2 - 8) + C 1 = x3/2 – 8 3) 1 B) a32 - 8) + sin 2432 - 8) • C D)…

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Q: 2- Exercise: Evaluate a) L{4x? – 3 cos(2x) +5e*} b) L{4+sin (x) – e**}

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A: Using trigonometric formula, given trigonometric function is simplified.

Q: 2. Prove the reduction formula: (5 pts) n-1 sin x cos n - n-2 | cos" xdx = cos" xdx

A: