bu= 는 Sin hT x dx ans=- xcosuT sin

Q: tan'y - ycosx = sin? x + find y',y" If

A:

Q: Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

A: Given: To prove, The given graph is shown below,

Q: fex Sin X %3D

A: According to guidelines we solve one question (2).

Q: par y) В. х2 + у2 С. sin (3x — у)

A: Which of the following equations are solutions to the partial differential equation

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: 8. S sin x(2 – 3cos x)²dx

A: We have to evaluate the following integral.

Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

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Q: Evaluate Sz cos“ x sin? x dx

A:

Q: 2- Evaluate sin x dx usin i. Trapezoidal rule ii. Simp

A:

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: them. 1. y= sin2r 2. y=2 tanx 3. y= cot 3x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Express sin(x +y+z) in terms of cosine and sines of x, y, z.

A: Associative Law: A+B+C=A+B+C=A+B+C Distributive Law: AB+C=AB+AC Left distributive lawA+BC=AC+BC…

Q: eliminate the arbitrary constant y = sin ax

A:

Q: sin 4y w = y+1

A:

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

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

Q: Use Substitution method: y' tan x sin2y= sin^2 x+cos^2 y

A:

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

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Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: (i) | sin' xcos xdx .

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Explain why trigonometric substitution eannot be used where x = 2 sin 0 on dx 4 – x2

A: We have to calculate the indefinite integral

Q: Differentiate sin y = a'

A: Solution

Q: Verify the identity. sin(x + y) – sin (x - y) = 2cos.xsiny

A: To verify the identity, sinx+y-sinx-y=2cosxsiny

Q: Given that sin(x)dx = 2, find I = 3 sin(x +2 7)dx. ||

A: Given that: ∫0πsin(x) dx=2 To find I=∫05π3 sin(x+2π) dx

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

A: Integration of given function

Q: sin 2x dx /2 cos 2x

A:

Q: tim Sin It tanx\

A: We will find this limit by substitution

Q: Evaluate and simplify y'. y = V1 - x* + x² sin-'x?

A: Given that y=1-x4+x2sin-1x2.

Q: Solve to Find if cscx – ) dt = 4 – y? tanx sinx+1. dx

A: Here we have,  a) y+∫xsecx1sint+1dt=xy b) cscx-∫tanxxy1sinx+1dt=4-y2

Q: cos? y 1- sin y

A: sin2x + cos2x = 1

Q: Differentiate sin y = a

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: 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: Differentiate y 10 sin(tan vsin r). y' =

A: We can find the derivative of the given function by using the chain rule of differentiation .

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: sin(3x)]dx

A:

Q: e. L[t e'cosh t sin t]

A:

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

A:

Q: y" + y = tan t + eª – 1 -

A: The given equation is second order homogeneous ODE has the form of ay’’ + by’ + cy = g(y)   The…

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

A:

Q: Differentiate y = sin[sin(sin x)] %3D

A: We can differentiate y as below

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

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

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

A:

Q: cos ydy Sin y+ 5 sin 3 sin y+6

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find sin' (2r)dz . - 능 cos"(2z) 글 cos (2x) + - cos (2x) + c Check your variables - y

A:

Q: 8 cossa da V sin a

A: Integral

Q: What is y = sin (xy)

A:

Q: If y cos (sin2x), then -6 cos (sin 2x) sin (sin 2x) cos(2x) dy dx True False O

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