(v sin' 2) dn sin ædy

Q: «) sin3x sinlx dY

A: See the details solution in below

Q: 5- (tanx + secx)2 dx

A:

Q: 2. cos“ y sin’ ydy

A:

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

A:

Q: et tane)=1-Sino +Sine (Sece

A: We will prove that both sides are equal as following.

Q: 2cos^2(?) sin3? dx

A:

Q: Differentiate. cosx² + siny³ = 36 %3D

A:

Q: tan(u + v) = ______

A: You must be knowing the properties of sin(u + v) and cos(u + v)   those are,   sin(u + v) = sinu…

Q: tane cote +- = sin0 + cose %3D 9. Sece csce

A:

Q: L[sin bd]- show that

A:

Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: 1/tanx+secx=cosx/sinx+1  verify

A: We simplify the left-hand side first. Multiplying by (secx-tanx) in numerator and denominator.

Q: i sinycos ydy

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Ea: Siny dydx

A:

Q: of degree 2 )dx is equal

A:

Q: 4. sin(u + v) = ______

A: Given:sinu+v

Q: what is the acceleration at time t=o of a particle if its position is s(t)= cos (3t)-sin(4t

A:

Q: Integrate Sin (1-2 In v)

A: The detailed solution is given below Thank you

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: = (a) Evaluate S cosx sinx V1 – sin4x dx. -

A: Given∫cosxsinx1-sin4xdx

Q: b) Differentiate (Cosx)Stnx with respect to (Tanx)Secx

A: We have to differentiate cos xsin x with respect to tan xsec x

Q: Provide 3 examples of the application of derivates (Newton's method).

A:

Q: 7) sin Z 40 32 Y 24 X,

A: In right angle ∆XYZ The length of the side XY=24 units. The length of the side XZ= 40 units. The…

Q: Find dy/dx

A: y=∫tan x0dt1+t2

Q: coth*(sin 3z) 12) zp- V1- ? 3z tanh

A: Integration of given function

Q: Evaluate 8 siny dz dr dy.

A:

Q: S sin³x dx

A: Let's recall the formula underlying integration by parts:

Q: Prove d [sin-! lu(x))]= I dx dulx) %3D NI- Culx)]? dx

A:

Q: tim Sin It tanx\

A: We will find this limit by substitution

Q: 1- -In2 - cosh? () . 2 - cosh(Inx) dx

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: coth“ (sin 3z) -dz /1– tanh² 3z 12)

A:

Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

A:

Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: 2cosx dx 5- ? 2 1+(sinx)2

A:

Q: (cosh ' []] 1s dz

A:

Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: 3. In (cose) tane de

A:

Q: cos dx 5. Vaš sin² 3

A: Consider the integral: I=∫cos6x23dxx25sin23x23

Q: What is the antiderivative of  2(sin(2x))/sin(x)?

A: The anti-derivative of a function is a differentiable function whose derivative is equal to the…

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: sin Vr dx =?

A:

Q: Calculate c{fie*sin (t - v) du}

A:

Q: coth“(sin 3z) 12) Vi- dz /1– tanh² 3z

A: The given integral: This can be written as, To evaluate the integral:

Q: 1. y=1+sinx 2. y=(1/6)cosx 3. y=cosx+2

A:

Q: 8. fx,y) = sinx cos y

A:

Q: 4. EVALVATE | sin4x vos5x dx

A:

Q: Tan(3(x+iy))

A: Given below the detailed solution