x(x² - y³ - x)dx – y(x² - y')dy = 0 %3D

Q: dx x Vx²+2x-1

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: Integration by parts with u = ln x, dv = xdx

A: u=lnxdv=x dx

Q: Evaluate the integral. (Use C for the constant of integration.) ∫(arcsin(x))2 dx

A: To evaluate the given integral we use integration by parts.

Q: x' cos 2x dx

A:

Q: Integrating Factor by Inspection: (6) 2x*dy = y(3x* + y²)dx = 0 .5

A:

Q: Evaluate integration 1/(x^2-9)^(3/2) dx using trigonometry substitution

A: Consider the given integral as ∫1x2-932dx. We use the trigonometric substitution x=3sect to evaluate…

Q: integrating x and xy' - x 12 = ?

A:

Q: Integration by parts tan Cx) dx

A: Given- ∫extanxdx To Find- The value of the above integral.

Q: dx 2√√x + √x

A: Solution of given question is written in below steps.

Q: 2. Determination of integrating factors: 2y(x - y+ xdx+(x² - 2ydy 0

A:

Q: dx √2+√x −1 14. f-

A:

Q: Using Integrating factors found by inspection (2y-3x)dx + xdy = 0

A:

Q: Integrating Factor by Inspection: 1. (2y3x)dx + xdy = 0

A:

Q: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: integral (dx/(√(x)+x))

A:

Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 19xe2x/(1 + 2x)2 dx

A: To evaluate ∫19xe2x1+2x2dx

Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

A:

Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy =…

A:

Q: Determination of Integrating Factors 1. (2xy – y² +y)dx + (3x² – 4xy + 3x)dy = 0 %3D | -

A: As per guidelines we have to solve one question

Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = %3D 0 and x = b² *…

A:

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: V2 dx 7. x²V4 – x² 1

A: We have to find the value of the given definite integral

Q: x +1 -dx x² (x – 1) (a) Integrate

A:

Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = 0 and x = b2

A: Let's find.

Q: S4xy1+ x dx 5.

A: on solving this we get the

Q: dx x+x4/3

A:

Q: DETERMINATION OF INTEGRATING FACTORS FOUND BY INSPECTION y(8x-9y)dx+2x(x-3y)dy=0

A:

Q: te technique ∫dx/x^2

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: y(x* - y²)dx + x(x* +y²)¢y = 0

A: Please see the solution below

Q: 2 Integrating factors found by inspection.: fr-y+1tr-af²-y²-1ky =0

A:

Q: Use integration by parts to evaluate the integral / 5xe2* dx. Use C for the constant of integration.

A:

Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: dy by implicit differentiation. dx Find 9 x°y – xy° = 3 dy %3D dx

A: Consider the given equation. x9y-xy9=3 Find the implicit derivative of the equation.…

Q: Jse Integration by parts to evaluate the follow- Seax cosbx dx

A: Apply the integration by parts twice and simplify the result.

Q: 1. ſx3 tan-1x² dx (Integration by Parts)

A:

Q: y(8x – 9y)dx + 2x(x – 3y)cy = 0

A:

Q: dx |x3 +1

A: Solution

Q: 4. Triple Integration Evaluate the equation below 1 - In y ex+y+z dx dy dz

A: Given: ∫01∫0z∫0ln yex+y+zdxdydz

Q: dx 1+x-2

A:

Q: 10. X dx

A:

Q: cos(x) Illustrate the evaluation of dx using techniques of integration J9+ sin?(x)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: (x² – 5x)e* dx

A:

Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

A:

Q: 1.y(у + 2х 2)dx — 2(х +уjdy 3D 0 - -

A:

Q: ntegrate y' = ec*(x). (Use C for the constant of integration.)

A:

Q: Determination of Integrating Factors 1. (2y2 + 3xy - 2y + 6x)dx + x (x + 2y - 1)dy = 0

A: .

Q: 3 3 У(х'у + 2х — у)dx + x (ху — 2) dy 3D 0 3

A: Firstly we find Integrating factor, then find general solution.

Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

A:

Q: olve 2xy dx-(1-x)dy=0 using two different DE techniques.

A: