Find the integrating factor that makes the equation xy^3+(x^2y^2+1)dy/dx=0 exact.

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

A: Follow the procedure given below.

Q: How do I integrate xarcsin(2x)dx using integration by parts?

A:

Q: Find dy Sinx

A: See the details solution in below

Q: 5x2 dx et

A:

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: 2. dy dx

A:

Q: x² sin 2x dx

A:

Q: Explain how to simplify the integrand of dx before x - 1 integrating.

A: we have to simplify the integrand before integrating ∫x+1x-1dx

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

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: Integrate § 8x^3 dx from -2 to 2 and explain (with a diagram) how this area could be 0.

A:

Q: 2+x a) S dx x²+9

A: Given: I=∫2+xx2+9dx For evaluating given integral, first we separate terms then integrate it

Q: What procedure should you use to fit each integrand to the basic integration rules? Do not integrate…

A: The given integration is I=∫2+xx2+9dx

Q: dx 8. √√√√x+√√x

A:

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

A:

Q: 2 x+ 2x dx x°+3x2 – 1

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

A:

Q: 6. f In² x dx

A: Topic = Integration

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

A:

Q: Find /- tan- x -dx using integration by parts. x2 ITM

A:

Q: Integrate SX³1IN x)dx

A: Using integration By parts

Q: What is the value of the integration below: 3 X [²³: x² + 1 2 -dx =

A: We have to solve given integration.

Q: Find the Integrating Factor of dy + 2ytanx = sinx dx

A: This is 1st Order Linear Differential Equation.

Q: In² xdx

A:

Q: 1. (x'y 1) dx x*y dy = 0 4,

A:

Q: When is integrating using the tabular method useful?

A: When is integrating using the tabular method useful?

Q: Calculate the partial derivative * using implicit differentiation of exy + sin (3xz) + 2y = 0. (Use…

A:

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: Find the area of a triangle bounded by lines y=2x and x=1 by double integration

A: Given region, y=2x        ...(1)x = 1        ...(2) Substitute the value of x = 1 in (1), y = 2 So…

Q: Evaluate In (ax) dx using integration by parts

A: Follow the procedure given below and use simple intergation by parts.

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

A:

Q: (2x-1) In(4x) dx

A:

Q: ex dx

A:

Q: What is the reversed order of integration of dydx ?

A:

Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

A:

Q: ntegrate dx/sqrt(E-((kx^2)/2)) ;    E,k = const.

A:

Q: Integrate: xー1 dx 2.

A:

Q: Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D 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: tan

A:

Q: Can you explain the integration by parts here?

A:

Q: COSX - dx sin²x-5sinx-6

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

Q: integral In(2x +1) dx

A: Given To Evaluate ∫ln(2x+1)dx