sin 3x dr + 2y cos* 3x dy = 0 COS

Q: 2cos(2x)sin(2x)-sin(2x)=0

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Q: sin 6x cos 3x dx

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Q: 1 -dx = /8-(2x+5)² o įsin- (2*) 2x+5 + c V8 2x+5 sin-1 + c 8, tan- ( V8 2x+5 + c o ţtan" (2*5 ) + c…

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Q: Integrate (sin θ - 2r cos2 θ) dr + r cos θ (2r sin θ +1) dθ = 0

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Q: |5sin(4x + 5) sin(2x --) dx

A: We need to evaluate the given integral. We will use the formula  Cos(A+B)-Cos(A-B)=-2 SinA SinB

Q: 3.sin (2 4. (4 sin 3x - x) dx

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Q: 1-cos 3x +C dx 1+ cos 3x 3sin 3x

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Q: sin 2 2xcos 2x cos 2x dx

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Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: sin (2.x) cos (3x) dx

A: Integration:

Q: sin (3x+1)dx 4 cos (3x+1) C

A:

Q: sin(4x) cos(2x) dx = cos (2x) cos (6x)' sin (2x) cos (2x) сов (10х) 4. (2x) sin (10x)+ c sin +c 10…

A: Use formula 2sinAcosB=sin(A+B)+sin(A-B)

Q: |(sin 3x + cos 2x) dx

A: Definition used -                                (a+b)2=a2+2ab+b2…

Q: sin 2x V2 – cos 2x dx

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Q: √2 2 sin-¹(x)dx

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Q: sin20 6. J 1-cos 0

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Q: π/2 COS X 1 + sin² x dx

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Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: 1-cos 3x +C 3sin 3x dx 2. 1+ cos 3x

A: We have to prove given integral.

Q: cos(2x) dx 1 In |1 – sin(2x)|+c 2 - 1 – sin(2x)

A: Note: It is assumed that the question is asking to test of the validity of the given equation.   It…

Q: 21. cos x cos 2x + sin x sin 2x

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Q: dr de sin - r- cos + eª cos = 0

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Q: Evaluate the integrals

A: Given integral: ∫π6π2sin2x2sinxdx

Q: Sin 5x Cos 4x dx

A: The given integral is ∫sin5xcos4xdx.

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: sin x dx 2- cos²x CoS

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Q: sin(-4x) cos 3x dx 1. 3

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Q: secx-1 sin x %3D V secx+1 1+cos x

A: It is basic trigonometry identity

Q: sin 2x cos 3х dx

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Q: 2+ cos (1 + x»'½) .0.5x dx 22 cos (1+x³/2) V1+0.5 sin x 2,0.5x dx|

A: By using Simpson/Trapoizodal rule.

Q: 12 tan (4.x) sec (4x) dx S cos(11x) sin(2r) dx COS

A: Given that integration and we solve this integration by using general formulas of integration. Here…

Q: | sin(4x + 3)cos(3x – 5)dx -

A: We have to solve integral

Q: (3 sin(2x) dx 4 sin(x)

A:

Q: sin x (1- cosx) dx (1– cos² x)

A: To evaluate the integral: ∫sinx1-cosx1-cos2xdx Solution: Evaluating the given integral:…

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

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

Q: cos^2x+sin^2x/cos^2x=

A:

Q: 3) (sinx + cos x)² = sin 2x + 1 COS %3D

A: We have to prove that  (Sinx+cosx)^2=sin(2x)+1

Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2

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Q: 4 cos °x sin x dx 3x sin: 1/3

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Q: sin 2t cos 2t dt 1 +3 cos 4t

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: cos(2x) dx 2 (sin(2x)+5)*

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Q: | cos(x) (8 + 4 sin²(x)) dx

A: Given Data: Integral Expression: ∫cosx8+4sin2xdx   Let, sinx=u Differentiate above equation.…

Q: •π * (sin³ x)√1 + cos x dx 2

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Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

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Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: 8 sin(2x) cos(2x) dx

A: We have to evaluate the given integral

Q: cos x -dx Compute the integral 1+(sin x)²

A: replace sinx=u cosxdx=du limits of u will be 0 to 1

Q: ) sin(2x) cos(5x) dx Scot (x) csc (x) dx

A: Given: 1.∫sin(2x)cos(5x)dx 2.∫cot3(x)csc4(x)dx

Q: За (cos 4x sin 3x – sin3 x)dx a

A: Given: I=∫a3asin3xcos4x-sin3xdx We know that sinAcosB=sinA+B+sinA-B2…

Q: (sin x)(cos x + 1) = 0 if 0 < x < 2n. А. п/3, 2п/3 В. О, п

A: This question is taken from trigonometry in which we have to find the roots of the given…