a) x² – 2 dx - 2 dx b)

Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: a) S xe3*dx = ? to %3D b) s dx ? (x-1)3 8-

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: 3 10. I' x'V9-x dx

A:

Q: Which of the following is equal to (2° – 7æ)*dx = (x6 -

A:

Q: 2 27|: r-1-(x-1)° dx

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

Q: (b) y = u4 and u = 9x2 – x + 7 dy du 4u³ ,3 du 18x – 1 dx dy dx &x(9x² – x + 7)³ × II

A:

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

A:

Q: •5 b) 3 -dx x – 3

A:

Q: Find the values of a that make: a (x – 2)dx = 6 %3D

A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: 13) Find / VI- 2x dx by the method of substitution.

A: Substitute   1-2x = t

Q: 18 Find J4 dx.

A:

Q: Sla 1 z dx |(25 – x²)3/2]

A:

Q: 1 x2 e-x dx ado 0 obtai

A:

Q: 1. [(4-x) dx. -2

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

Q: Find if-10x – 6y = -6. dx2 Provide your answer below: %3D dx

A: We Have to find second order derivative

Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

Q: 1. (a) Determine + 2x2 dx (b) Determine + 2x2 dx

A:

Q: x(x²-x+2) dx is equal to 3

A:

Q: 42. (a) By completing the square, show that 1/2 dx T x² – x + 1 3/3

A:

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Q: ii) Evaluate 3 -dx . Hence, solve et 2e* -dx . + +2

A:

Q: 6. §, (x +1)? e*dx •4 dx х —1 7. 2 8. x²cos2xdx

A: Note :  As per our guidelines we are supposed to answer only one question and 3-subparts. Since you…

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

A:

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

A:

Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ

Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 2

A:

Q: Evaluate , Sd-2, r2(1-z) dy dx dz

A:

Q: In x2/25+ x² dx , we let x = 5sine. (A) True False

A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…

Q: 4 -4 x3 16-x² dx is equal to

A:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: 2 Evaluate || dx +4x+3

A:

Q: Prove that..

A:

Q: 2. Find in terms of Jo and J,: x²½(x)dx

A:

Q: B4. Evaluate the integral [(3x² - ª ++5 x -6) 4 +5 /x – 6) dx .

A:

Q: (2х + Зу — 5)dx + (3x — у — 2)dy 3D0

A:

Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: 3. (a) Determine 3 4 dx VI - x², + x2 (b) Determine 3 + V1- x2 4 dx 1+ x2

A:

Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

A:

Q: 2. 16-x dx 2.

A:

Q: 3. (a) Determine 3 + x2 VI dx x2 (b) Determine 4 dx + x2

A:

Q: Show that dx (a) - x² +1 2

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

Q: 3. 5 (xº - + 2ex) dx 2ех

A:

Q: Linear DE 1. x²y' + 2xy = 5

A: