x2 dx Using trigonometric substitution, the integral is equivalent to 2 Vx²–4 z/2 A 4 sec20 tan0 d0 z/2 B 4 tar n20 sec0 d0 z14 00 4 sin20 de /2 z13 4 sec³0 d0

Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

A:

Q: / [cosh²(2x²) – sinh?( 21²) ]dx is equal to A B dx c) None D x²dx E xdx

A: Let's find.

Q: 2х + 3, х 1 21 B 19 C 28 D) 16 A.

A: We find out the value of given integral. Follow 2nd step.

Q: (x+1) dx If A B C + + dx ,the values of A & C respectively are (x+2) (x- 1)2 (x – 1)2 x+2 X- 1 3

A: We will evaluate the integral using partial fraction as following.

Q: Evaluate: Scos 2xdx cos2x, cos 2x +C A 2 6 sin2x sin32x +C 6. B 2 cos2x cos 2x + C 6. 2 sin2x,…

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Q: dx S- xV x2 +4 Evaluate: 그yx2+4-4 + C A) x +4 +4 x² + 4 - 4 + C x2 + 4 +4 1 B 2 x² +4 – 2 + C x² + 4…

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Q: +e-2m) dm=2| cosh2m dm A True B False

A:

Q: dx Using half-angle substitution, the integral is equivalent to 2+ sin x dz A 1+z+z? dz (B (1+z)? ©…

A:

Q: In tan"u du where n is any integer, we use the transformation for tan²u= sin²u cos?u

A: ∫(tan2u)du then put x=tan(u) then u=tan-1(x) and du=dxx2+1

Q: 2 -V2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the 3-2x C if x=16 and y=18 ? (use…

A:

Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

A:

Q: Evaluate: Jy?cos2ydy

A: The given integral is ∫y2cos2y dy We solve the integral using integration by parts formula. From…

Q: /x[cosh?(2x²) – sinh²(2x²) ]dx is equal to

A: solution :let…

Q: show solution, u and du too

A: We have to choose the correct option according to the given information

Q: f(x) = x4 %3D 1-a4

A: answer is in next step

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A:

Q: dx Evaluate: xVx? - XV x² +4 Vx² +4 – 4 (A 2 + C V x² +4 +4) Vx2 + 4 – 4 + C 1 B x² + 4 + 4 )

A: Given ∫dxxx2+4

Q: 19.Which of the following can be integrated using substitution? O A Sæ sin?z dæ O B. Sæ sin(x?) dæ O…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

A:

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: Let be the antiderivative of X). Determine the value of C if X = 12 and y= 26. (use radian form of…

A: See the details solution in below

Q: 7-4 dt 1.

A: We need to evaluate integral.

Q: Question 16 n2x cos3x dx= sin5xdx - sinxdx A) True B False Question 17 csch2zdz=–In|csch2z –…

A:

Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

A:

Q: 1 Which of the following is the antiderivative of f (x) = (x+ 2). ? - Vx + 2 = « (1n (\ &a+ 2+1) +…

A: To find the antiderivative.

Q: m solving for the antiderivative of f(x) = Fusing trigonometric substitution. Jf(x)dx is transformed…

A:

Q: Which of the following is true? cos (x), cos (x) cos1°(x) O Ssin*(x)cos°(x)dx =- + C 10 A 4 ®…

A:

Q: In tan"u du where n is any integer, we use the transformation for tan?u sin?u cos?u

A:

Q: sin2x cos3x dx= sin5xdx – sinxdx A True B) False

A:

Q: Question 11 Evaluate: (ed"+1) /Ted" + 1)?-4 3x A) None B sec -C sec D sec-1 +C E +C 2 Sec-

A: First we put e3x+1=t and differentiate both sides with respect to t and solve it.

Q: To evaluate y?csc2(y³)cor?(y³)dy, we let u =csc(y³) A True B False

A:

Q: 2. Solve the initial value problem. Determine the interval in which the unique solution of the…

A:

Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx

Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

A:

Q: x²- 4 .2 Evaluate: A -Vx2-4+2sec-(승)+( x2-4+ sec-(스)+c B -2VX2-4+sec-(즐)+C =Vx2-4-2sec-승)+c D

A:

Q: y′+5x=5 Determine the general solution to the differential equation above. (Do not include the "+C"…

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Q: 9– 4x2 In solving for the antiderivative of f(x) = "using trigonometric substitution, ]f(x)dx is…

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Q: 3600 = 3600(60 + x) gives a person's average speedi -1 The function s(x) = miles per hour if he or…

A:

Q: If h(x) = | cosxdx and h =4, then h (0) is equal to A B 4 C) -4 (D) -3 E) None

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3

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Q: Use finite approximation to estimate the area under the graph of f(x) = 9x and above the graph of…

A:

Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=1 3-2x and y=2 ?…

A:

Q: To evaluate y-csc²(y³)cor²(y³)dy, we let u =cse (v³) A True B) False | csch2zdz =-In|csch2z –…

A:

Q: To begin evaluating sintx cosx dx , express 1- cos2x A sin x to (sin?x)² and use the identity sin?x…

A:

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare A None 1- cos4x and…

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Q: *dx Evaluate: 3x + 4 A None e 3x, ! sec-1 В +C |

A:

Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: Question 3 „Insec2 (sin2y), Which of the following is one of the correct steps to evaluate the sec2y…

A: Given query is to find the correct step to integrate

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A:

Q: Question 18 -미ch2e-coth2e|+C csch2zdz = A) True B) False

A: A detailed solution is given below