sin(x + /4)= sin(x) + Cos(x

Q: (cos(4x))^2=___+____cos=(___x)

A: By double angle formula , we have By taking A=4x, we get

Q: · y = sin(cos 3x) – sin x cos 3x

A: Given : Y = sin(cos3x) - sinx.cos3x Let's differentiate:

Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: 8+tan x dx 1-sin?x i.

A:

Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: COs x 10. S V4-sin2 x

A:

Q: f(x) = (8 sin x + 3 cos x)tan1 -

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Q: (d) sec(x) – sec(x) sin²(x) = cos (x)

A:

Q: lim h-0 2h sin(x² )dx = -2h cos(1) sin(1)

A:

Q: th The n derivatives of sin'x is 4" cos(4x + 8 2 thi

A: False

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

A: To evaluate the given integral.

Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

A:

Q: 2 sin(x) cos(x) + v2 cos(x) = 0 COS

A:

Q: f (x) = cos(x) f(x) = tan(sin(x)) g(x) = In(2x2 + 4x + 3)

A:

Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

A:

Q: 3-f(x) = tanh¯1(cos(e*))

A:

Q: sin x dx cos2 х

A: To integrate: ∫sinx dxcos2x Solution: Let t=cosx Differentiating both sides, we get…

Q: sin xV1+ cos 2xdx 6. V1 - sin 2xdx 7. 8. cos' xdx 1+x+x? -dx x² + x3 9. I sin 2x 10. I + sin² x xp-

A: Note: As per company policy we are supposed to solve only one question, So kindly repost the other…

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

A:

Q: 20. cos x 3 cos x -V2 cos x csc x; xe[0,2n]

A:

Q: 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin¯' 5x)

A: some functions are given , we have to find its derivative

Q: sin 2x dx Evaluate the definite integral: COS X

A:

Q: x2 sin3(x) Find ax if y = In \cos(x*).V1+x,

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Q: sin (2x) dx 2. ( (sin(In x) + cos(In x)]² dx xp: 3x/10 In(3x) – (1In(3x))²

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Q: cOs x dx sin² x+ 2 sin x+5

A:

Q: x2 sin x+2x cos x f'(x) = cos²x

A:

Q: Evaluate: / [cos(x) – sin(x«) ]dr A cos(x) + sin(x) +C - cos(x) + sin(x) +C

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: 2x-5 4. f(x) = x2+4x-5 sin x 5. f(x) = cos x

A:

Q: sin x (cos x + 4) dx 1+cos²x

A: SOLUTION-

Q: 2 sin(x) cos(x) V3 cos(x

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Q: sin x dx TT cos2 x + e cos x

A:

Q: 1. sin x sin 2x + cos x cos 2x = COS X

A:

Q: sin(x) dx J1- cos²(x)

A: ∫sinx dx1-cos2x Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: ,(xsinx+cos.x)x'cos"x - x sinx + cos.r cos³ 3 dx x°cos?x

A:

Q: sin(bx)+a x<0 f(x)=< | sin (2x)+2x x20 which is differentiable everywhere, then what are values of a…

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Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: sin x (1- cosx) dx (1– cos² x)

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

Q: sin x dx + x cos² x 5.

A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

A:

Q: 3. x² sin* () dx, x² sin2 () dx, n, n, a is a constant

A:

Q: f(x) = 8 cos x- 8 sin x f'(x) = %3D

A: Given function is fx=8cosx-8sinx.

Q: Scos“ x- sin' xdx x•sin³ xdx 3

A:

Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: sin 2x J-1 x8 +x* – x² +2

A: Evalute the integration ∫-11sin2xx8+x4-x2+2dx.

Q: 3 Find the maximum and minimum values for f(x) = - 4-(/2 cos x - V2 sin x)

A: Topic = Functions Maximum value of f(x)=1.5 Minimum value of f(x)=0.5

Q: |(1+ sin x)'cos x in x) cos x cOS.

A: Given: ∫1+sinx3cosxdx

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…