Match the integral expression on the left to its suitable transformation on the right, after using appropriate algebraic manipulation and substitution, Prompts (u+-u²) du sin?x cos'x dx ut) du Sesetr cor'r de (-u*-u?) du

Q: Evaluate: (3x + 1)*dx = Blank 1 (use small letter, no space) S(3x+1°dx,

A: Given  ∫(3x+1)2dx Formula: ∫(ax+b)ndx = n(ax+b)n-1.(a)

Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

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Q: evF dr + A в 2 2 E) None

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Q: (x )dv, using simple substitution dv=f(x)dx_ Determine the value of f(x) if To evaluate the integral...

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Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x + 3)...

A: the given integral,        ∫tan(4x+3) dx

Q: From the following differential equations, choose the separable differential equation(s). O A. y' = ...

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Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B 2...

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha ∫1a2-x2dx=sin-1xa+CThereoreI=sin-143x1+CI=sin-...

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?...

A: we have f(x) =x+3x2-3x-18

Q: If (Mesin(2x) dx = eSin(2x) + C, then the M is equal to-

A: We will differentiate both sides w.r.t 'x'

Q: Look for three (3) mathematical formulas related to your chosen field like engineering, health scien...

A: Formula 1: y=mx+b y=mx+b  is slope intercept form equation of straight line. So it is used for findi...

Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: J esc2tdt = In|csc2t – cot21| + C A) True B) False

A: Explained below 

Q: 2 x+1 -dx . Evaluate:

A:

Q: To evaluate the integral expression / sin-(Vx)dv, using simple substitution dv =f (x) dx_ Determine ...

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Q: Differentiate. f(x) = x+ f'(x) = Need Help? Read It Watch It

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Q: A graphing calculator is recommended. x² - 1 Let f(x) = x2 + 1 (a) Find f'(x) and f"(x). f'(x) = f"(...

A: Here, the given function is: f(x)=x2-1x2+1

Q: x + sinx dx. Evaluate: 2x- cos/x (A + C 2 2x+ cos/x B + C 2 © x-2cos/x + C x +2cosx+ C E None of the...

A: Let √x=t then solve it. 

Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {an} converges to a > 0. S...

A: Let {an} be a sequence of non-negative numbers.

Q: Consider the following function: f (x) = (x- 4)(x+2) (x +4)(x + 2) i. For what values of x is f(x) c...

A:

Q: rx²+x+1 -dx x-2 A -+ 3x + 7ln (x– 2) + C +x- 2ln (x- 2) +C -x- In (x-2) + C +3r -3 In (x – 2) + C

A: Let's find. 

Q: Differentiate. 5x y = et

A:

Q: Ni dr A +1 B 2 C) D E) None

A:

Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: (a) Graph the function f(x) = 1/(1 + x³) -2 < x<2 (b) Estimate the area under the graph of f using f...

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Q: Question 2 The coefficient of Sec(x) when J (tan(x) – sec(x))-dx was evaluated is Blank 1 (use numbe...

A:

Q: /(In°x– 3lnx)*dx A Inx B Inºx C) © Intx D Inx – 3lnx E) Inx- 3 F) None

A:

Q: cose Evaluate the integral: - de. 4- sin?e -ain (an)•c (sin (A) B None of the given choices © Sin-(글...

A:

Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete so...

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Q: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

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Q: In2| 4+ tan-'cos- dx 2 sin ( 1+cos | 4+ tan-'cos- 2sin- · In²| 4+ tan-'cos- dx 2 (A 1+cos- 4+ tan-'c...

A:

Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

Q: e* then the integrand is the same as dx In 4+e¯ 4e* + 1 A) True B) False

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Q: A ax? +C B a ax +C a?x +C 2 D.

A:

Q: IX. E sin (2x)dx by using walli's formula. a is equal to ? A.0 29. B.1 C.2 D.pi/2 The definite integ...

A: Applying Wallis Formula. 

Q: [sin(Inx7)]²dx_ Which of the following is equivalent to "sin(Inx14) dx (A "sin²(Inx14) dx B © /sin°(...

A: SOLUTION-

Q: x-x+1 dx Evaluate: 2,2_ 2,½-224C A 3 B 2 2 D 5 3 E none of the given choices

A: We have to find solution

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

A: It is given that, the length of the wire = 36 in. It is cut into two pieces. Let the length of the o...

Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

A:

Q: | esc2tdt = In|csc2t – cot21| + C A) True B) False

A: To find out that the given integration is true or false.

Q: If sin(t) = and t is in quadrant II, find cos(t), sec(t), csc(t), tan(t), cot(t). cos(t) %3D csc(t) ...

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Q: cose Evaluate the integral: de. 4- sin?e A None of the given choices -sn(글sne)+c В © sin (ano)-c sin...

A:

Q: dV 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation: A 350 B none of the given ch...

A: ∫at+bn dt = 1aat+bn+1n+1+C

Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

A:

Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: tan ( tan3x) dx Evaluate: cos?3x

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Q: Question 16 Evaluate: [Vx + sin/ dx. A None of the given choices 2x+ cos/x B + C 2 © x+2cosx + C D x...

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is the constant.   ...

Q: 1. Evaluate the integral

A: