Please do not email me to get solut instructors to use them for assignm Section 1-2: Integrals Involvin Evaluate each of the following integr. 2. cos° (2t) sin (2t) dt 1. COS 3 cos (12z) dx 2.

Q: What is the amplitude of y = 3 sin 2 x? 1

A: Given that: y=3sin2x

Q: Recoll that co'e Find X = oree oSx. 1/2 *sin (eoi'x) de x sin

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Q: Find div F and curl F if F(x, y, z) = 2eyi- 7 cos y j + 4 sin² z k. div F= curl F=

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Q: how did you integrate cos2x to sin2x/2?

A: how did you integrate cos2x to sin2x/2?

Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

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Q: Ea: Siny dydx

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Q: 1. Calculate ln(-/2) and acos(2).

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Q: sin [cot(4e¬4*)]cos*[cot(4e¬4*)] dx e^x sin²(4e¬4x) Let u = cot(4e¬4x) %3D

A: Solution: Let the given integral is I=∫sin6cot4e-4xcos4cot4e-4xdxe4xsin24e-4x ......(1) Substitute…

Q: ∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitution

A: Rewrite the equation Apply substitution u=√(cos5t)

Q: dx using two point and three-point Gaussian Evaluate the integral 1= x² + cos Quadrature and compare…

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Q: 7. fsins y cos' y dy

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Q: Differentiate. sin(0) f(0) 1 + cos(0) f'(0) %3D II

A: Differentiate

Q: Let x² + sin(yz) = xz² + y dz and ду dz Find

A: Given,           x2+sinyz=xz2+y

Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

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Q: Conjugate harmonic function of u(x, y)= =x²-y? is,

A: The objective is to find the conjugate of harmonic function ux,y=x2-y2

Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

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Q: dy (2x sin h -+3y cos h -) dx Зх cos h - 2 tan h 3 + ||

A: According to the trigonometric hyperbolic formula: tanh(x)=sinh(x)cosh(x)        ...(i) Distributive…

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: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: Prove siny-2 sin³ y 2 cos³ y-cosy = tany ✔✔✔

A: The given identity .The aim is to prove this identity.

Q: V. (VXF) =

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Q: Sin x==3/3₁ sec 3/3 = Sin(x+y) sinxcosy cosx sin + 1/23.37/355 · ㅎ 에 + ㅏ

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Q: cos“ I dr 4 sin* I

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Q: Evaluate sin (4x + 14) dx cos (4x + 14) Ocos (4x + 14) + C O-cos (4 + 14) + C -cos (4x + 14) +C…

A: Integration