dy + ydx %3D = 3x²y?dx,

Q: Evaluate f 5z" In8x dz using integration by parts.

A: Given integration: ∫5x7 ln8x dx Use the integration by parts: ∫u v dx=u∫v dx-∫dudx∫v dx dx Here…

Q: Sx³cos3x?dx

A:

Q: 2x cos(2x)dx

A: Given : ∫2xcos2xdx

Q: Evaluate using integration by parts o a) (In 3x dx

A: As per the rules of the company we can only the first question and rest others can be reposted.

Q: evaluate using Integration by Parts.

A:

Q: evaluate using Integration by Parts.

A:

Q: 0. Inx dx -2

A:

Q: Evaluate using integration by parts or substitution. 3x dx

A:

Q: dx 3. J TxVx-1

A: the given integral is: ∫dxxx-1 we have to evaluate the given integral.

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: 5x2 dx et

A:

Q: Evaluate using integration by parts: fx sec-¹x dx

A: SOLUTION-

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: Describe how to choose u and dv when using integration by parts.

A: There is an acronym called “LIATE”: Set u to be the first function on the list below (ordered),…

Q: dxdy Vy X'

A: Given: ∫01∫yy21y2-x2dxdy

Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

A:

Q: (6xy)dx + 4y +9x ² )civ = 0

A:

Q: Find the Integration of 1 dx. (6x+7)6

A: To find: The integral of ∫dx6x+76. Formula used: Integration formula: Power rule of integration:…

Q: Find the most general antiderivative. 2 7 dx X+1

A: By using integration formula, we calculate the given integral.

Q: Evaluate f x³e2x dx using integration by parts

A:

Q: 2 ydx -3ху-dx — хӑу — 0 xdy = 0

A:

Q: Va2 – 4 dx

A:

Q: Evaluate using integration by parts. 1)x2 In 6x dx

A: We are asked  to evaluate the integral

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

A:

Q: dx 15. S (x²+36) ³/2

A:

Q: y(x* - y²)dx + x(x* +y²)¢y = 0

A: Please see the solution below

Q: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Integrate SX³1IN x)dx

A: Using integration By parts

Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

A:

Q: 2tds + s(2 + s²t)dt = 0

A:

Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

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Q: evaluate using Integration by Parts.

A:

Q: Evaluate S(x + y)dxdy by reversing the order of integration.

A:

Q: (y – x + xycotæ)dx + xdy

A:

Q: ] Integrate by parts to show that Vx dx = 2e4 - e* dx. ex. е —

A: To evaluate the given integral choose  √x as the first function and ex as the second function and…

Q: use the table methud from integration by parts to find S(4x2-5x+6e clx

A: we have to find the integral by using integration by parts

Q: 1 1+9g2 dæ| dxl

A:

Q: Evaluate e" dydx by reversing the order of integration. x/3)

A: A detailed solution is given below.

Q: Evaluate by Integration by parts (IBP): 4. x° cos 2x dx

A:

Q: Evaluate using integration by parts : fln 3x dx

A:

Q: Evaluate S.(x + y)dxdy by reversing the order of integration.

A: answer is in next step

Q: Evaluate using integration by parts or substitution. 2,2X dx

A: ∫x2e2xdx

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: Integrate by parts: ex sin x dx 2.

A:

Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

A:

Q: Find the most general antiderivative. 4 dx

A:

Q: 7. f sec5 2 t dt

A: We can solve the integration as below

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: (a) In(4x) dx

A: Integration by parts:  ∫f(x)g′(x)dx = f(x)g(x) −∫f′(x)g(x)dx