Express the given product as a sum or difference sin (6x) cos (3x)

Q: sin x dx cos5x b.

A:

Q: Express the product as a sum or difference. 1. sin 4x sin 8x 2. sin 7x cos 5x

A: For the expression sin 4x sin 8x, multiply and divide the expression by two.

Q: Evaluate the integral. ∫Sin3 θ Cos 4θ  dθ

A: We have given;

Q: Evaluate the integral sin^3(2x) dx.

A:

Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x -…

A:

Q: Evaluate the integral ∫sin5 x/3 cos x/3 dx

A:

Q: Express the product as a sum or difference. cos 4x cos 8x cos? 20x2 (cos 12x - cos 4x) (cos 12x -…

A: Express the product cos4x cos8x as a sum or difference

Q: Evalulate the integral of sin^-1(9x)

A:

Q: use the product to sum formula to write the product as a sum : Sin (x+4) cos (x-y)

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

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Q: Solve the integral 6. sin10 x cos° x dx

A: To solve∫0π2sin10x cos9x dx

Q: Image

A: Consider the expression

Q: The integral ¹S. 01-fese csc ³0 de sin² sin ²0 de = [sec³ sec ³0 de + cos² cos²0 de dx (x²+4)² can…

A: We have to solve Integral

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Express as a product.cos 5x - cos 3x

A: We have to express the given trigonometric expression as a product: cos 5x-cos 3x We know the…

Q: Find the indefinite integral. ∫sin7 2x cos 2x dx

A: Consider the given integral ∫sin72xcos2xdx

Q: Express the following as a product of factors (1) sin 2x+sin6x +sin 8x (11) cos 54+ 2cos3.4+cos.4

A: We know that sin C + sin D = 2 sinC+D2 cosC-D2 cos C + cos D = 2 cosC+D2 cosC-D2

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

A: The given expression is cos7xcosx

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution :…

Q: Express the given sum as a product of sines and/or cosines. 3x 9x cos 2 + cos 2, 3x 9x Cos + cos 2…

A:

Q: Evaluate the integral ∫cos√θ/ √θ sin2 √θ dθ

A: We have to evaluate the integral: ∫cosθθ sin 2θdθ We know the trigonometric identity, sin 2A=2sin A…

Q: Express as a product:3 cos 2x + 3 cos 6x

A: 3cos2x+3cos6x we have to express as product

Q: Find ∫sin23x cos 3x dx

A: Given:                  ∫sin2(3x) cos(3x)dx   Integrating:                    Let's apply the…

Q: Evaluate the integral ∫sin (2t + 1)/cos2 (2t + 1) dt

A: Given information: ∫sin2t+1cos22t+1dt

Q: Express the given product as a sum or difference containing only sines or cosines. sin (9x) cos (4x)…

A:

Q: Express the given quantity in terms of sin x or cos x. sin (6t – x) O A. cosx- sin x O B. - sinx C.…

A: The given expression sin6π-x

Q: (4) |sin² 0 cos0 d0

A:

Q: Express the sum cos 3x/2 + cos x/2 as a product. If possible, find this product’s exact value.

A: Express the sum cos 3x/2 + cos x/2 as a product. If possible, find this product’s exact value.

Q: the integral of tan^2x cos^3xdx

A: we have to find integral of tan^2xcos^3xwe use following rule

Q: Express the product as a sum or difference. 1. cos 3x cos 2x 2. sin 5x sin 8x

A:

Q: Express the given sum as a product of sines and/or cosines. sin 7x + sin 12x sin 7x + sin 12x =

A: As per the answering guidelines, in the case of multiple questions, only one question is to be…

Q: cos (3x) · (8 sin (3x) – 1) dx = %3D

A: Given that : The integral is ∫ cos ( 3x ) ( 8 sin ( 3x ) - 1) dx  .

Q: Write f(x) = -2 sin(x) + 4 cos(x) using a single sine function.

A:

Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

A:

Q: 4 dx 1– cos(4x)

A: We to evaluate the integral ∫4 dx1 - cos 4x

Q: Express the product sin 4x cos x as a sum or difference.

A: Given: sin4xcosx

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin…

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: Evaluate the definite integral. • */10 cos 5x sin(sin 5x) dx

A:

Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc…

A:

Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx

Q: Use a computer algebra system  to find  integral sin 5 x cos 2 x   dx

A: To find the integral

Q: Evaluate: tan(4x +3)dx A 4 A -In |cos (4x + 3)|+c B -In |sin(4x + 3)|+C 1 (c) -In |csc (4x+3)|+C D…

A: Integral calculus is the fundamental discovery was the link that exists between this and the…

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx

Q: [sin’ @ cos' Ode

A: