Evaluate r, SSinº r² cos edzdrd0. -T/2

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A: Solve the following

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A: I=∫-22 x3cosx2+12  4-x2   dx     I=∫-22 x3 4-x2 cos x2+4-x22 dx →          1       Use property…

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A: Given integral is I=∫-π2-π2P9sinu2cosudu Let sinu=x⇒cosudu=dx So limit of integration will be -1 to…

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A: Product Rule of integration : ∫u.v dx = u∫vdx -∫(dudx∫v.dx)dx dsin(x)dx=cos(x)  and…

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A: cos2xy' =y2y-1sinxA first order separable ODE has the form of Ny·y'=Mx1y2y-1y'…

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A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

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A: Formula used: 1)∫xn dx=xn+1n+1+C and 2) ∫cosx dx=sinx+C, where C is integrating constant. Given: 1)…

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Q: (n+1)x*! – x* . cos ((n+1)x) dx, where n is 4

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Q: Aprove that t-L sin 21tc) cosect is the answer sf dy +(Eatt) y = sint %3D

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Q: 41. sin y + cos x = 1

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Q: 6. Evaluate cos(4x)dx .

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A: On solving this we will get:-

Q: | 0 cos T0 d0

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A: Use the trigonometric ratio as it is right triangle.

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A: Topic:- application of functions

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A: Given that, xsiny=cos(x+y) The aim is to find y'. Take the derivative for xsiny=cos(x+y), siny+xy'…

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A: Since you have asked multiple questions in single request  so we  will be answering only first…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: first derivation cos^3 (3x)

A: differentiate the function using chain rule.

Q: 9. sin ở In(cos 0) de

A: let I=∫sin θ ln(cosθ) dθ Integration By parts: ∫udu=uv-∫vdu u=ln( cosθ) ; du=1 cosθ-sinθdθ=-tanθdθ…

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Q: The question is to, find a general solution and to show the steps of derivation.

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Q: 6) Vi-sin xdx

A: The given integral is√(1-sinx).

Q: If fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

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A: Given data:     The given equation is: .   The given expression can be written as,

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We have to find the general solution of the differential equation y(4)-y=5(x+cosx)

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Q: Find F(s). L{(1 - et + 6e-3t)cos(4t)} F(s)

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