Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

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A:

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A: To evaluate the following integral.

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A:

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A: Since  Sin (0) = 0

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A:

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A:

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A:

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A:

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A:

Q: 4加 T (In cos x) Beca Cos X

A:

Q: s 4

A: To simplify (cos 3x)(cos x)-(sin 3x)(sin x)

Q: Express the product sin 7x cos 3x as a sum or difference.

A: Given information: The given expression is sin7xcos3x. Concept used: 2sinAsinB=sinA+B+sinA-B…

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A: Here , We will apply the formula of Cos ( A+B) Cos(A+B) = [CosA CosB - SinA SinB ]

Q: Evaluate sinx cofx dx Select one: sin4x +C 4 sin2x cos2x +C 8 0(x-sinx cosx cos2x )+c O None

A: Correct Option is Last  i.e. None

Q: Im cos 2x + sin 2x} %3D Cos 4i - 4

A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…

Q: (7cosx-sinx)2 + (cosx+7sinx)2 = 50 Verify the identity.

A: Given,

Q: 2-Find L(e-3tsin2t)

A: Given function is, f(t)=12e-3tsin2t Now, from the property of Laplace transformation we get, L(…

Q: Simplify cos²(4y) - sin²(4y)

A: