L(e-3t (2 cos 5t-3 sin 5t)) 20

Q: 1 + sin 4x cos 4x + C 8. 13.

A:

Q: cos2x dx 1 sin 2x- 16 12

A: The objective is to find  the integration.

Q: Simplify 2sin(4x) cos(4x)

A:

Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

A:

Q: r=2(9+1)sin0

A: Since  Sin (0) = 0

Q: (cos(80) + i sin(80)) 2.

A:

Q: (sin 5x + cos 5x)

A:

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: How does -cos(3t)sec(3t) equal -1?

A: given  -cos(3t)sec(3t) = -1

Q: Cos(11°+x)=-sin(2x+6)

A: x

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: Cos(10+x)

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

Q: 2r sin 1 (r²) d»

A:

Q: 6T cos 8 de : so O o o O

A: Here we will solve the  given integral,

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

A: Given,

Q: sin(3r) dr.

A: Given integral is,

Q: sin cot-1 (2/20 CSC 2π 3

A:

Q: Evaluate: D°(sin x- e20) A -sin x - 32e* B sin x - 32e2 © -32- e D cos x - 32e2

A:

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

A:

Q: cos3θ+cos4θ=0.

A: Consider the given equation, cos3θ+cos4θ=0 By using the formula, cos(a + b) + cos(a - b) =…

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: Find S(sin20cose + cos30)d0

A:

Q: Simplify cos²(4y) - sin²(4y)

A:

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :