Which of the following is true? 10 @ Jsin*(x)cos°(x)dx = - cos (x) , cosº(x) cos(x) + C 4 10 (B) All for the above Stan (x)sec (x)dx = Ssec°(x) _ 2sec7(x), sec(x) + C 5 7 O Stan (x}sec°(x)dx= tan (x), tan'(x) , tan!(x) + C 10 + + 6 4 ® -/cot*(x)csc³(x)dx= csc°(x) 2csc (x), csc°(x) +C 5 7

Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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Q: 2.x +1 The antiderivative of f(x) = is (x – 3)² (x – 2) 2 7 +C 3 A F (x) = 5 ln 3 | 3 + 2 В F (x) =…

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Q: Question 8 Evaluate: Jcos 2xdx cos³2x + cos2x A + C 2 cos³2x + C 6. cos2x B sin2x sin32x + C 6.…

A: topic - integration

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: IF x=0.63 and y=0.70 then value OF C in the antidenivative Of FCX)=XCos Vi-x? iscusc radian Form OF…

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Q: ,Insec2 (sin2y), dy Which of the following is one of the correct steps to evaluate the sec2y -…

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Q: sin'x cos x dx Evaluate: (1– sinx)²(1+sinx)² sin 10 +C 10 A sin8x sin 10x +C 10 B 8 sin8x +C 8 D)…

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Q: © J tane x*dx Using trigonometric substitution technique, the simplified integral after substitution…

A: sec2(x)-1= tan2(x)

Q: Question 17 Which of the following is NOT an improper integral? x-dx A -2 Vx2-1 x/2 sec x dx 01 x13…

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Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

Q: Question 15 If h(x): cosxdx and h =4, then h(0) is equal to A B) None -4 D. -3 E

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Q: dx By algebraic substitution, the integral |- -dx is converted to: 4+x dy A y+4 2ydy B у+4 2 dy y+4…

A: We can solve as follows

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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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: Determine the value of C in on the antiderivative of F(x) = sin (x)cos“(x) for x = 0.669 and y =…

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Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

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Q: Evaluate: fevdx. @ -2ev(/x+1)+ Cc A ® =2ev(/x-1)+ c 2ev(/x +1) + C 2ev(x-1) D +C 2

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Q: et f(x,y) = C be the antiderivative of F(x) = x-cos(2x). Determine the value of C if x = 68 and y=…

A: Given problem:- Let f(x, y) = C be the antiderivative of F(x)=x2cos(2x) Determine the value of C if…

Q: 1 Using the power series representation rɔn with interval of convergence 1 – 75 n=D0 1 x E (-1,1),…

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Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx) 2 sinx sin 10x - +C 10 A) 8 (B None sin 10x +C 10 (D)…

A: ∫un du = un+1n+1 +C

Q: 3 Which of the following is equal to / sec 2 x tan³x dx to obtain the correct indefinite integral? A…

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A 1 ④ 능Sin(3e")- Sin(11e") +C sin(11e*) + C 22 1 (в 1 sin(3e*) +…

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Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) =- What is the value of C if x=12 and y=9 ?…

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Q: (4x2+ 5x4)dx By method of partial fraction, the integral | - can be evaluated when expressed as…

A: We find out the partial fraction decomposition of given integral. Follow 2nd step.

Q: |に1寸に! Question 8 (x-2) Which of the following is/are true about the function g if g(x) 9-x+2 1. g…

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Q: sech (Insinx) cotxdx=2tan-(sinx) +C A True B) False

A: Solution: ∫sechlnsinxcotxdx =2tan-1(sinx)+C

Q: Evaluate:- 4 dx ④ -VR-4-2sec-1(즉)+c A =/x2 – 4 + sec + C (c) =2/x2 - 4 + sec -/R-4+2sec-1(즉)+c x2. +…

A: Integration

Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

Q: By algebraic substitution, the integral -dx is converted to: 4+. Vx 2ydy (A y+4 dy B y+4 y+4 D [vay…

A: Here is the solution

Q: Convert the point (-7 3, 7 V3) from Cartesian coordinates to polar coordinates for 0 <0 < 2m. Give…

A: The given point -73, 73

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

A: Explained below

Q: Solve for the general and particular solution using Laplace Transform y" + y = v2 (cosvEt) %3D y(0)…

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Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

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Q: Evaluate: Jycos2ydy 글sin2y-글vcos2y + 승sin2y+C A B 글sin2y+ 글ycos2y+sn2y+C © ranzy-ycoszy-anay + C D 글…

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Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: 12

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Q: Question 4 x2 dx Using an appropriate trigonometric substitution, the integral reduces to 1+x2 A)…

A: ∫x2x2+1dx

Q: Consider the alternating series (-1)"bn with n=0 1 bn = 1+ 8n4 Is the sequence {bn} increasing or…

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Q: Match each set of triangle measurements with the specific case you would use to solve for the…

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Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: *xe' de (x+1)2 Using integration by parts to evaluate it is best to let dx A u=xe"; dv =- (x+1)2 x…

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Q: Which of the following is true? @ - , Ssin (x)cos*(x)dx = cos (x) , cos®(x)_ cos'(x) + C 10 + 6. 4 ©…

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Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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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: 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: 25 -x2 In -dx , if we let u =/ 25 – x2 , then udu = - xdx. (А) True B) False

A: We can solve as follows

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

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