Given that 3xVx² + 4 dx = 5/5 – 8 what is [ 3u /u? + 4 dư?

Q: 4. dx= 4 In4-arccosx+ C 4 + V 1-x² O True O False

A:

Q: Find impicitly, tf e*(eУ — 1) + sin(2x + 5у) %D In(V7) - - сot(2x) y+2

A: Given function is Differentiating with respect to x by using product rule ,we get

Q: 1 Use the integration formula ax dx = ax + C to find 4* dx and simplify. In(

A:

Q: 1 By using completing the square , dx can be rewritten as /x²-4x – 7 1 VTr- 2)²– 3 1 =dx V(r- 2)? +3…

A: We need to write the following integral by completing the square   ∫1x2-4x-7dx

Q: Answer the following neatly and completely. Find dy/dx. 1.y = 2x4 3x2+2 2. y = 53x2-2x+2 3. xev + y…

A:

Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: x³Væ² + 1 dx

A: Solve the integration

Q: Evaluate the integral. x dx (7x° + 3)* 5 (7x² + 3) * + c -4 O A. 56 7 O B. -(7x + 3) - +C Oc. -(7…

A: Given query is to find the value of the integral.

Q: The value of the double integral 7 1 4xy dy dx is 4

A: ∫46(∫274xydy)dxIntregation wrt y so x will be constant.⇒∫46[4xy22]27dx ⇒∫462x(49-4)⇒∫462x(45)dx

Q: 2. Given that y = (a + bx)e-* where a and b are constants, show that +2 +y = 0 dx2 dx

A:

Q: et Calculate the integral: dx (e – 4)(e* + 5) -

A: Given,            ∫exex-4ex+5dx

Q: The approximation of - 1 dx by the composite Trapezoidal Rule with n= 2 is x+4 O 0.40833 O 0.40546 O…

A:

Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx…

A:

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 2 O 1 O 0.5 O 1.5

A: Given integral is, I=∫0b2x-1dx Now, integrating the given integral, I=2x22-x0bI=x2-x0bI=b2-b

Q: 1 Using u = 1 + 2x6, then the integral | x°(1+ 2x6)5 dx becomes 12 us du- This evaluates as 5+1 1 12…

A: Follow next step

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

A:

Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: In Jx2/25+ x² dx , we let x= 5sine. A True B False

A: Note Since you have asked multiple question As per our policy, we will solve the first question for…

Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

A:

Q: Given the integral J6x2 - 4x dx бх2 - 4х

A: Complete the following question involving basic integration techniques. Given the integral…

Q: S B+1F dx (Improper Integral) (3x+1)?

A:

Q: 3. Evaluate the integral: (1) (u-2)(+3) du @[²7/1 dx (3) rπ/3 cscxcotxdx

A: Use the following formulas 1.∫xndx=xn+1n+1+c2.∫ cscxcotxdx=-cscx+c

Q: Solve the following D.E.s d'y dy 4 + 12 у %3D бх — 2 е* (1) - dx2 dx

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

Q: 7. Find (a). pln e" sec? e" dx (b). 2V5x3+4 dx

A:

Q: By using the substitution u = x3", find nx3n-1e + 8) dx where n is a constant. Hence, evaluate "(exn…

A:

Q: dy 4a +9 10. dx

A:

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: 13. Se"dx = %3D 3a41 re +k. 3x+1 B 3e" + k. A c+k. 3x te +k.

A: ∫e3xdx=

Q: In 2 e*2arctan e* А.) dx J (1 + e2x) sec(2arctan e*)

A:

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 O 2 1 0.5

A:

Q: what is the general solution of a = e* dx +1

A:

Q: If the approximated value of , 16x³ dx using Simpson's rule is 260.03, then the error in the…

A:

Q: Given the integral (9x * e12x dx and the substitution information u = 9x du = 9 dx V -e12x 12

A:

Q: In evaluating / x(4 – x)ŝdx , if we use the substitution that u = 4 – æ, then what will be the…

A:

Q: If we decide to use u=x2+e, then which of the following are correct? i) du=2x dx ii)x2=u-e…

A:

Q: 3 We were given that = 1²ex dx = @³² = e. 3 3 Therefore, •L²³ ex+ 5 dx = 20²³ [²³ ex α 2e5 dx =

A:

Q: 3 3 ex dx = e3 - e, use this result to evaluate Given that %3D 7ex + 6 dx.

A:

Q: Find the integral. 12x Vx dx 9 24 OA. 7 +C 8 О в. + C 3

A:

Q: 2. √ (e²x +e-2x) S 2 dx 1/

A:

Q: 12. Find * so S e* dx dy 10 -1 e25 e25 2 e25 + 1 2e25 + 1 e25 e25 – 1

A:

Q: the general solution of DE x2 dy/dx=4x2+7xy+2y2

A:

Q: x³ + aa² + 7x + -3r" + V + x* + sin(x) = y, then dy/dx is: If

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 2 1 0.5

A: Use the following formula, to estimate the integral ∫abfxdx by Romberg integration method.…

Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*

A:

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

A:

Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

A:

Q: Q1-Evaluate the integral 2х — 5 dx - х2 — 5х + 1 3

A: Here I am attaching image so that you understand each and every step.

Q: 1- y? 1+ y 4 06: If x? dx Show that 1 %3D ,2 dy レアス+1.

A: