(Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) 28 dx = 83

Q: dx =? x-4x+5 (A 4 B 1+풍 © 1+ 1- D

A: Solve the integration

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A: we have to find the derivative of ddx2x.

Q: What is the value of ∫-21 −5x(2x2 −3)3  dx? Enter your answer as an exact fraction if necessary.

A: Given information:The given definite integral is

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Q: A Find all SalutioNs to the EQuatioN X²+15=8x %3D B What is the value of x in the Right thiangle? 12

A: A. To find the solutions of the equation x2+15=8x, first we need to isolate 0 on one side of the…

Q: 27. Which of the following is equal to -2? dx (a) 2* (b) (In 2)2* (c) х2*-1 (d) In 2

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Q: The average daily air temperature for Fairbanks, Alaska can be modeled by the quation 2n T(x) =…

A: Given query is to find the value of x at T(x) = 32°

Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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Q: Evaluate the following, 8 [? + 3) e-2* dx, and write your answer in the form g(x) e¯2x + C.

A:

Q: Apply Method of Substitution and evaluate : .3 45x? dx e O 3 ebx* + O, Where C is an arbitrary…

A: Use substitution method.

Q: So S/2 √xydx dy

A: solution:-∫01∫y2yxydxdy=∫01y∫y2yxdxdy=∫01yx3/23/2y2ydy=∫01yy3/23/2-y23/23/2dy=23∫01y2-y7/2dy

Q: # lim d) oo panɛ of lm TxtI 0)-2 b) 0 c)2 d)4 5.

A:

Q: 2x3 =dx = V1-x4

A: We will use substitution,  y = 1-x4

Q: dy is O The degsee of (I+ ) ca) o b) I ce) 2 (d) 3 .

A:

Q: J 81 e dx %3D 81 e 5x 5x + e (Simplify your answer.)

A:

Q: Can you help with this problem step by step?

A: Given that

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Q: sing an appropriate substitution, evaluate: 2x dx A 32 B 4 4/2

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Q: 81 To evaluate dx, we assume constants A, B, C and D can be found such that x4 + 27x Cr + D 22 +3x +…

A: Given: ∫81x4+27xdx

Q: DE II BC , Sshow D ABC ~ AADE E 3 A 8 B Find the value of x.

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Q: 00 dx x² 7/3 (Type an exact answer +49 %3D

A:

Q: V8+h-2 lim OA 1. 12 OB. 192 C. D.

A: Just note that 2 is cube root of 8 and then observe it's derivative of cube root function at x=8.

Q: 2x dx Using an appropriate substitution, evaluate: B 4/7 © 37 3/2 D 4

A: This question is related to integration.

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: S(x³ + 2x² + x – 5)e2* dx

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Q: Find the value of k so that the value of (2x – 1) dx is 4. А) з в) 2 D) 5

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Q: (т- 2)x? + пх + 2 lim %D 2x + 3 O A) 10 в) 12 P C) -8 O D) 4 PE) 2

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Q: I+2 dx I13

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Q: If P(0) : what is the value of csc 0 + sec 0? c3 + 3c2 + 9c + 27 9c

A: Solution of the problem as follows

Q: ¡ Is(x)dx=A/3x=5 +C, for constants . Suppose f (x) = . If Зх — 5 A and C, what is the value of A?…

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Q: dx T16 + x? Evaluate 2

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Q: Evaluate (3x? + 1+4x) dx O a. 176 O b. 166 O c. 216 O d. 186

A: We have to evaluate given integral.

Q: 33. e (e* + 1)° dz Answer + (2= +1)* + C

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Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: Can you please this problem and show the steps and say the letter

A: Given :

Q: b if it Se was Where a + 2b = 3 find the Value (2x + 3) dx a, b E R

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Q: Solve the Following ? d(y2)/dx

A: Chain rule of derivative: dwdx=dwdy.dydx   ....1

Q: y= C, x? + Ca e 2*

A:

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: Evaluate dx a. 7. b. 4 С. d. None of the above 74 54 C.

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Q: Replace ? with an expression that will make the equation valid. -(7x + 5)² = 8(7x+5)7 ? dx The…

A: d(7x+5)8dx=8(7x+5)7? we can find the derivative by chain rule;

Q: 2x dx Using an appropriate substitution, evaluate: A 4 C D D 4/2

A: Given that a  integration and we solve this integration by using general formulas of integration. We…

Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

A: To evaluate the given integral.∫10x35x2+112 dx

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Q: dx 2 x² +k? Evaluate

A: Given: I=∫x-ax2+k2dx So, we can also write as; I=∫x-ax2+k2dx=∫xx2+k2-ax2+k2dx=∫xx2+k2dx-a∫1x2+k2dx…