find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: Use Gaussian Integration (4-point form) to approximate | x?sin(x)dx

A:

Q: The deferential of point functions are exact differentials. Select one: True False

A: True

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: If x+y divided by x-y= x^2+y^2 and dx/dt=12, then what is dy/dt when x=1 and y=0? show all work…

A: Given thatx+yx-y=x2+y2x+y=(x-y)(x2+y2)  [cross multiply]x+y=x3+xy2-x2y-y3

Q: Integrate: S sin3x cos²x dx

A: The given integral is ∫sin3xcos2xdx

Q: tan (Int) dt

A:

Q: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

A: Consider the given integral Here the objective is to evaluate given indefinite integral.

Q: Integrate: S tan (æ) sec³(x)dx

A:

Q: Find the derivative of the function. rsin(x) y = In(1 + 5v) dv y'(x) = sin x In(1+5 cos x) + cos x…

A:

Q: - $x² cos(x³) dx

A:

Q: 1) [(sinh 2x + cosh2x)° dx

A:

Q: integral of sin^5(3x)cos^3(3x)dx

A: The integral of ∫sin5(3x) cos3(3x) dx is sin5(3x) cos3(3x). If we need to find the integration then…

Q: Integral of Sin^2(2t)cos^2(2t)dt

A: Given: ∫sin22tcos22tdt

Q: Integrate tan -1 x dx without using integration by parts.

A: We will find the solution in the following step.

Q: Find the sdution of the. differential equation that Satisies the qven intal condition

A: We have to find solution of differential equation with given initial condition.Differential equation…

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: Integral from 0 to pi/2 of (cosx) /(sinx) ^(1/2) dx

A: we have to find definite integral of f(x) in [0,pi/2]

Q: Integrate: S sin³x cos³x dx

A: ∫tndt=tn+1n+1

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: Find the derivative of y = 4) G* eln sin-) y = G (In-x) sin + V4 – x2. x sin¬1 In sin + (Tx-1 1 y' =…

A:

Q: 3. x)dx sin(ln

A:

Q: 10 Describe a first step in integrating /2 dx. - 4x + 5

A: Given: ∫10x2-4x+5dx Step 1: Taking the constant term outside

Q: Find integration + dx Cos (x-1)

A:

Q: Which derivative rule is used to derive the Integration by Parts formula?

A:

Q: 6. f In² x dx

A: Topic = Integration

Q: Compute sin x dx er + 3e -x 8.

A: We have to compute the given expression ∫sinxex+3e-xdx from -∞ to ∞ Therefore, The  given expression…

Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

A:

Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find.

Q: 4 Use Gaussian Integration (4-point form) to approximate x2sin(x)dx

A: Using 4-point formula the given integration is solved.

Q: First and second derrivative of: y=5 /(sin 3x+cos3x)

A: the given function is: y=5sin3x+cos3x we have to find the first and second derivative of the given…

Q: Explain how to simplify x³ + Vx x3/2 the integrand of integrating. dx before

A: The given integration is ∫x3+xx32dx Solution: To solve the given integration first, separate the…

Q: Why is anti-differentiation or integration important in our lives?

A:

Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

A:

Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: Integrate: Jez sin(3x) dx

A: Solve the integration by substitution method

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: Integrate: S dx sin ³x cos6x

A:

Q: 2. f x cos² x dx

A:

Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: Integral of sec^4(3x) dx

A: Given ∫sec4(3x)dx

Q: 5. Integrate using an appropriate integration technique. a) ⌠ex sin(ex) dx b) ⌠sin3(2x) cos3(2x) dx

A: use substitution method for finding  integral

Q: | (In x)² dx_use integrationI

A:

Q: Ssin(3x) sin(7x) dx

A:

Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1