1 =dx = V81-(3x+5)? 2 3x+5 -tan- (***) + c 9 o 음sin-1 (3g5) +c 9 o tan-! (**5) +c o sin-l (초5) +c 3x+5 9. 3x+5 -) + 9

Q: (2x + 3) = 3y1 4 Select the correct response: O 2+ 12y3 2,2x + 3 3 3 Y 1 (2.x+3)3 o 12y°(2.x + 3)?

A:

Q: x+3 d. O a. -(5x

A: The integral given is, ∫e5x+3dx Substitute u=5x+3. du=5dx. The integral becomes, ∫e5x+3dx=15∫eudu…

Q: If i=(-1) then i^25= ...

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Q: 2x - 4x – 8 -.dx Find -3)(x* +4)

A:

Q: Q18   tions, as indicated, and simplify your answer. (y+1)/(y-1)-(y-2)/(y+7)-(4)/(y^(2)+6y-7)

A: Taking LCM of denominators is the key here.

Q: Ex (S-5) (S-5)-

A: Explanation of the answer is as follows

Q: Simplify the expression using the prope 8y^(7)z^(5)y^(6)z^(3) Show your work there

A: We know,        x^(a).x^(b) = x^(a+b) We use this formula to evaluate the given expression.

Q: 4sin^(2)(x)-3=0

A:

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: ((3x^-1 -3y^-1)/(y^-2 -x^-2))

A:

Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

A:

Q: a/ Find the domain and Yang of each the fo Mo wing ya-3 Sinx 2+3x2 多 y2.14-x -3 X+1 Xー

A: Explanation of the solution is given below...

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: [5 8 If A = 0 1 1 find A-1. [4 3 -1]

A:

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: 0000 2x/48x5y+ x³ /27xy- x²/75x³y (3v6-2)°

A: x1000y29z=x5002y28yz=x5002y142yz=x500y14yz2)2x48x5y+x327xy-x275x3y=2x2*2*2*2*3*x22xy+x33*3*3*xy-x25*…

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: 는(csc-1(324)) = d SC dx

A:

Q: [(*+4) - 8]* dx 32 (*+ 4 )3

A: The given integral is 32∫0∞x+4-82x+43dx. Evaluate the value of given integral.

Q: Differentiate. h(w) (w5+ 8w^) (w-4-w-6)

A:

Q: f(x)= -3•2^x-5 -6

A: As this is of the multiple part question, according to the Bartleby Answering Rule, only first three…

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: 64+ 203 - 6D² - 16D -8)y =D

A:

Q: 2x+6)dx x²+2x+5

A:

Q: る(4xナx)(10x2+x2-2

A:

Q: 2 x ×+10メ+3X+36 dx (メー1)(x44

A:

Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

A:

Q: d dr +8

A: Given : ddxx3-8x3+8 To find: Differentiate the given function

Q: ∑5 (-2) ^ k -1 K=1

A: Given, ∑5-2k-1

Q: (2z–2z+5) xp- z(z²–2z+5)

A:

Q: F(x)=4x^2+16x+9 in simplest radical form when f(x)=0

A: To find the simplest radical form

Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

A:

Q: 1— (Iпх)2 dx -

A:

Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 2х + 4 -dx 2x2 + 21х + 34 -2

A: Given: I=∫-252x+42x2+21x+34dx For evaluating given integral, we simplify it then integrate it So,…

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: Find sec2 (2x) 1- S (tan2x-4)9

A: Since multiple questions are asked, according to guidelines I am solving the first question. Please…