21 (b), dx -1 3e2x

Q: 2 3 -x³ dx 10

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Q: dx Integrate: S x²-3x+2

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Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: -) S xe²*dx .2

A:

Q: 2. S (x * - x³ -3x) dx V4

A: Explanation of the answer is as follows

Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: 6. S: Ja2+1)2 dx x³ex? dx (x²+1)2'

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: -33e* – 105 -dx e2x + 8ex + 15

A: Here we use partial fraction method to solve the integral.   We know ∫1x+adx=ln(x+a)+C ln(ex)=x…

Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

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Q: 4-y2 dx

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Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: (x²-ax +4" dx

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 4-x2 dx -2

A: The given integral is

Q: 19-x² dx 2

A:

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: 7). Sx² sech x³ dx 3

A:

Q: Find dy/dx. x2 - 4y2 = 3x3y4

A: From the given data:

Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

Q: b) Integrate: 2x + 5 -dx 2x*(x+3)(x –1)

A:

Q: Integrate dx/(x-5)^2

A: answer = -1x-5explanation is given in below step

Q: 6. S sec3 dx

A:

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

A: See the attachment

Q: 3r² + 10x + 7) In (z²+3) dz

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

Q: 23-4x-8 Integrate: 2E+4) dx 1)(r²+4)

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Q: 3 9 dx dt -1 -3 [:] 2 with a (0) = 4

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Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: dx S- x4 - 1

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Q: Evaluate ·S dx 2 ²√x²-9

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Q: V9-x2 2+3x dy dx

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Q: 3), x²e2* dx Ans. 20 (5e* – 1) Se4 4

A:

Q: 2 の x3 ex lx の 2X dx to

A: 3 Given: ∫12x3ex dx   ……1

Q: 1-3x dx Jo J2x-3x² 4. 2х— Зх?

A: Given problem is

Q: 1. ſe-5*dx el/x2 2. x3 5e 4lnx dx ,3.

A: ∫emx dx = emxm + C , where 'C' is the constant of integration.

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

Q: 6. 2 I (ve**)dx dy у /2

A:

Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

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Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

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Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

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Q: 2 - S tần² (3x)sec²(3x)dx

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Q: 25 - x2 dx

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

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

Q: 19-x 2 Find -dx 2 x² 5.

A:

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…

Q: 9, (x2 + 2x - 5) dx

A: