S x(x² – 1)dx

Q: Match the Integrals on the left side with the appropriate technique of integration to use on the…

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Q: хcos(x) is If x =0.62 and y = 0.43, then value of C in the antiderivative of F(x) = V1-x² (use…

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Q: The general solution of xdy- ydx = x²e*dx is (A y-xe*- cx= 0 B y+xe*+cx=0 x-ye*+ cx= 0 x+ye*- cx=0

A: We need to find general solution of differential equation.

Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

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Q: 4tan e sec ede tan0-2 tan 0 –15

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Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral -…

A: The given integral is e4x/(4e2x+9)3/2.

Q: dx The antiderivativeof |- - 5ln +C. x +5 (A True B) False

A: To find if the given antiderivative is correct or not.

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: Question 10 Evaluate: Jevdx.

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form udv =…

A: This question is based on integral by parts.

Q: 25.In solving r In(In x) dx , which substitution should be used? O A. u = In(In æ) In a O B. U = Oc.…

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

Q: 1 Which of the following is the antiderivative of f (x) (x + 2) – Va+2 A) None of the given choices…

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Q: Question 6 dx Using half-angle substitution, the integral is equivalent to 2+ sin x zp 1+z+z? dz…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°X)cos"(x) for x = 0.579 and y = 1.3.…

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Q: Let x = 1.54 and y = 2.72. Determine the value of C when you evaluate cot *(2x)dx.(use radian form…

A: Given

Q: V9-4x2 x2 In solving for the antiderivative of f(x)= using trigonometric substitution, f(x)dx is…

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Q: Let x = 1.56 and y = 3.66. Determine the value of C when you evaluate cot(2x)dx (use answer in 2…

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Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: Let f(x,y) = C be the antiderivative of F(x) = x-cos(2x), Determine the value of C if x = 64 and y=…

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Q: 2r+3, x<1 f (x) dx if f (x) = 5, Evaluate x21 A 21 B 19 28 D 16

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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: Question 20 ) dm: -2m cosh2m dm A) True B) False

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Q: A Jsin(3x)cos(4x)dx = [ sin(7x) – sin(x). A dx 2 * cos(x) – cos(7x) ® Ssin(3x)sin(4x)dx= [co c) All…

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Q: (3x²+8x-12)dx In the complete factored form of the denominator is x(x+4)(x+ 3). x3+ 7x² + 12x A True…

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Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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Q: To begin evaluating sintxcos xdx conveniently, express:

A: Given ∫sin4xcos5xdxWe can simplify this and write as∫sin4x(cos2x)2cosxdx

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

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Q: dæ Evaluate: æ/9a² + 4 Af(x) V9x2 + 4 + 2 In + C 3x B None of the given choices © f (x) = -2 ln V9x2…

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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: 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: xcos-(x) If x =0.18 and y = 1, then value of C in the antiderivative of F(x) = is (use radian form…

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Q: A camera is set up at the starting line of a drag race 60 ft from a dragster at the starting line…

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Q: Given cos A 11 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest…

A: topic- trigonometric ratios

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos"(x) for x = 0.012 and y =…

A: We need to find value of C.

Q: - 2r³+ 4x²+ 3 -dx is equivalent to x²(x²+ 1) 2x- + - 1 dx x?+1) 2x –1 dx x²+2, 3 B © /: 2x – 1 x+1…

A: Given problem:-

Q: Xcos-(x) If x =0.17 and y = 0.52, then value of C in the antiderivative of F(x) = is (use radian…

A: Let's find.

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: /9 — 4г2 Evaluate: 6/ f (x) = - 4.x2 + 2 sin- ( A +C -1 /9 – 4x2 – 2x sin¬ (4) + C B f (x) = - -1 6/…

A: We have to integrate

Q: (4x²+ 5x*)dx (x+1) (x²– 6x + 34) 2 By method of partial fraction, the integral can be evaluated when…

A: Please see the below picture for detailed solution.

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…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: Which of the following is true? (A All for the above ® Stan (x)sec®(x)dx = tan (x), tan?(x) ,…

A: We have to evaluate the following integrals.

Q: Let x = 1.56 and y = 3.66. Determine the value of C when you evaluate J cot (2x)dx. (use radian form…

A: This is a problem of integral of the trigonometric inverse function. Based on the general formula we…

Q: Using the miscellaneous substitution 2=tan match the integral expression on the left to its…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos“(x) for x = 0.125 and y =…

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Q: dx /3 X-X

A: Find integral

Q: Luse the Half Anola Forula cos2

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Q: Let x = 1.19 and y = 2.02. Determine the value of C when you evaluate cot *(2X)dx.(use radian form…

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Q: Let x = 1.84 and y = 3.72. Determine the value of C when you evaluate cot *(2x)dx, (use radian form…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x +…

A: Mean Value Theorem: If f is a continuous function on [a,b] and differentiable on (a,b). Then there…