.3 1 dx=? Jz x² -4x+5 A 1- 4 (B 1+ 7 4 D) 1+

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: The value of the integral | (|x+1|+|x) dx is а) 9 b) 1 c) 0 d) 4

A: The given integral is  I=∫-22x+1+xdx To solve the given integral we need a result that is ∫x…

Q: 10. J xe5x dx A. (5x-1) O A O B B. (5x-1)+c C. 5x + 1 D. 5x-c

A: To find out the integration.

Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

A:

Q: 13. (x? — ху + у?)dх — хуdy %3D 0

A:

Q: A If B C √ √ √(x + 1) dx (x+2)(x-1)² = √ [1+²+ = -1 + (-1²) x 2 (x−1)2 ]dx dx, the values of A & C…

A:

Q: Solve the following D·E 2) x – 2y = x³cos4x dx

A: Given D.Exdydx-2y=x3cos 4xdydx-2yx=x2cos 4xTo findFind general solution

Q: Q11: Find an expression of for y = 4*32x %3D dx

A: NOTE : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: 7 Calculate 2x+ x-) dx, given the following. 7 8 218 169 Xdx xdx = 12 3 3 7

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Q: O g(x) = (3t+ 2) dl t %3D

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Q: dy Q. 8 Find 2 -: if Y dx 6x4+1 -48x3 (6x4+1)² .4 -48x (6x4+1)? -84x3 (6x4+1)? None

A: Given that  y=26x4+1

Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

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Q: 4. (d) f(x)dx 6.

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Q: Q2\ Evaluate the following :(two only) 3-2x 16S dy dx 0.

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Q: Ⓒ S x² (Inx)² dx 0

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Q: x +2 . Determine the value of dx using method of substitution 1x* +4x+7

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Q: _3. S(3v +) dx = D(x + 3) + C

A:

Q: S(x-ae )Vx² + 2e" dx -ах - ах 11.

A: Let's find.

Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

A:

Q: 4. dx = Inlx -e* +C %3D 5. S 2+3*dx = 4 6. Inlxl + C

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Q: Determine the value of 6 L 9f (x)dx given that "f(x)dx = -7 11 9,

A:

Q: If f = 5x²y² – XY² then find df at (3,1) dx O 28 O 20 O None O29

A:

Q: 4. (x? — у?)dx — 2хydy %3D 0

A:

Q: G + Kxy- 2x)dx + (3xy? +20x²y³)dy = 0

A: A differential equation (DE) of the form M(x,y) dx + N(x,y) dy = 0 is Exact iff ∂M∂y=∂N∂x Solution…

Q: S(3x + a)dx = 8, then a = %3D O a. 2 O b. 3 O c.1 O d. 4

A:

Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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Q: (х + 3) e* - dx js equal to (x + 4)? 1 +c (x + 4)² et (x + 4)² x + 4 et x + 3

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Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

A:

Q: За? + 2 dx J x³ + 2x + 10

A: We have to solve

Q: d [(1+x²) Pn(x)] dæ dx

A:

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

A:

Q: Evaluate: dx A **+ In\x*| + C 1 +C 3x3 B 4 (©) 3x2+ -5 3r2+

A:

Q: If y = x In x, find dx2 ° А) -1/х B -1/x? © 1/x2 D) 1/x

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Q: 1 a. (x + 1) dx = 35 2 b.7 27 - C. 2 d. -17.5 1/0

A:

Q: d. | x In(x + 2) dx

A: This question is related to definite integration, we will solve it using given information.

Q: dx. Find (a) Ans. (a) 1/60, () x/2. (c) 3n

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Q: 8tan4x dx. Q. S 3 None 8log|sec4x| + c 3 2log|sec4x| + c 3 2log|sec4x| + c 4

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Q: xe2r (1+2x)2 a dx 3D (a) e 1 (e) None 4 4 12

A: Consider the given definite integral. ∫012xe2x1+2x2dx The objective of the problem is to evaluate…

Q: Given 2x2 - 4x + 6 dx find R4. (round to 4 decimal places.

A: The given integral is ∫122x2-4x+6 dx. Let fx=2x2-4x+6   on  1,2. ∆x=2-14=0.25. Note that…

Q: 7 then d'y 21 True or False: If Y = 5x° + . 100x3 x!/2 dx? 4x 2 True False

A: Given problem:-

Q: Find dy/dx for the given value of x y = In(x² – 8) ; x=4 A. 1 В. 2 C. 0 D. 3 Е. 4

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Q: 11. (D² + D – 2)y = 2x – 40cos (2x) 12. (D? + D)y = -cosx

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Q: 25 Find / (x* )dx if / fdx = 9. Enter the exact answer. -5

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Q: |(3nt?t? – t*) (3n² – t') dx - --

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Q: dz a > 0. 2 _x

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Q: S(3V+) dx (x + 3) + C %3D

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Q: Solve the following DE: (x2+ 1) dx + x2у2 dy -D0 о ху - 2(3 + Сх+x?) о ху? 3 2(1 + Сх - х?) о хуз -…

A: