xii. dx -x4 V3-2x-

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A:

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

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

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A:

Q: Calculate  d2y dx2. y = −6x2 + 5x

A: Given

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A: 11. According to question,Given integral,∫25-x2-2x dx

Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

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A: We need to identify the given first order differential equation as homogeneous, Bernoulli, linear…

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

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

A:

Q: 7. 5d'y. dx dx -6x , y(0) =0, y(0)=-10

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A: ∫ab(1-x2)dx

Q: S(-5)'r dx 6x-9 2. Í dx x-3x+5 1.

A: ACCORDING TO THE GUIDELINES WE ARE INSTRUCTED TO ANSWER ONLY ONE QUESTION OR 2 SUB- QUESTION, THE…

Q: 25+1 c) r³-3x²-10x dx

A:

Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: dy 2x y3 – 4y dx II

A:

Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: calculate d2y/dx2 when y=-3x2+2x

A: . Given y=3x2+2xwe find d2ydx2

Q: 4-x2 dx -2

A: The given integral is

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

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A:

Q: 3/2 (-2x + 4) dx J1/2 | 16.

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: 2- Inx- dx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (6x-y > -3 13. ly>x-2 14

A: First draw the two straight line 6x-y=-3, y=x-2.

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

A:

Q: (x² + 4)³/2 -dx

A: Given integral is: I=∫x2+432xdx Integrating it: Put:u=x2+4dudx=xx2+4dx=x2+4xdu…

Q: j dx (2x-3) 15-12x+cx 2

A:

Q: 8 11xe-x dx

A:

Q: (3x4-43)dxc+(xy²-2x?4)dy:

A: 3xy2-y3dx+xy2-2x2ydy=0 fx,y=Mdx+Ndy ∂M∂y=∂N∂x For M=3xy2-y3∂M∂y=6xy-y2 For N=xy2-2x2y∂M∂y=y2-4xy…

Q: 10 10y-y² IN - 10y-y² ex² + y² dxdy

A:

Q: (iv) S: (1-x²)z dx x8

A: Given:

Q: 2. 5x - 2 (x + 3)² S dx.

A:

Q: dy. dx2 y = -6x2 + 7x Calculate d²y dx2

A:

Q: V9-x2 2+3x dy dx

A:

Q: -.f x³ ex² dx 3

A:

Q: -4 (1x|+x-2|) dx -1

A: To find: The integral ∫-14x-x-2dx. Concept used: The absolute function fx=x: fx=x,    x≥0-x, x<0…

Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: 1/2 y = (4x-3)¹/²₂ d³y 3 dx

A: Third derivative id given.

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

A:

Q: 5. St? V1- t dt (2x+3) dx 6. S (x2+3x-6)

A: Please see the answer below.

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

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A:

Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: Evaluate:

A: Given integral is We know that

Q: iv) L,x²e=* dx -2 -3x dx 1

A:

Q: 21 (b), dx -1 3e2x

A:

Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…

Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.