2. se integration by pacts to eval integralig x² In (3x)dx niz

Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

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Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evalaue the given limit.limx→01+7x-1-4xx

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Given; y=4x2, y=0, x=4   Now find the point of intersection between the curve y=4x2 and the line…

Q: xªdx Using trigonometric substitution technique, the simplified integral after substitution is: A…

A: Given: integral∫x4x2-4dxwe know that sec2θ-tan2θ=1sec2θ-1=tan2θsubstitute x=2secθ…

Q: 16.Which of the following is equal to fee dt ? O A. eet + C ee +C в. ee x + C D. ee 17.Which of the…

A: 16.∫eedt=ee∫dt=eet+coption A is correct.

Q: Which of the following is true? @ Ssin*(x)cos³(x)dx = - cos°(x) , cos®(x) cos(x) cos °(x) 6 4 10 ©…

A: answer of A:    Answer of B:

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: 3. Scscs dx

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Q: ax +3, if x <2 f(x) = lox²+2, if x 22 It is given that f(1)=5 and f(2)= 6. Find the value of f(a+b).…

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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: 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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Q: Consider the following. 5 lim (1 +- Use l'Hospital's Rule to find the exact value of the limit.

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

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

Q: Solve the integral: Vx + x A x ³ | + C B None of the given choices 6ln|5+ x 6|+ C + C E) +C

A: We need to evaluate the integral.

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: The integral of the right hand member of the first order LDE +2r cote = sin2 e is: de A sin*e +C 2 2…

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Q: xỉ (9x" –10) where "a" is equal to The antiderivative of f (æ) = - is F (x) : 30 (A B 1 6. 1 12 E…

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Q: After appropriate substitution, the integral expression | x (22 + 4) de can be express as (choose 2…

A: We have to find out

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos"(x) for x = 0.108 and y =…

A: See the details solution in below

Q: Answer is incorrect

A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

Q: dæ Evaluate: a/9x2 + 4

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: f(x)=sin(x)  , f(0)=0Differentiatef'(x)=cos(x) , f'(0)=1Differentiatef''(x)=-sin(x),…

Q: Evaluate the following indefinite integrals. Show all the necessary solutions. 4. Ssin'x cosʻx dx

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Q: 9- 4x2 de Evaluate: x2 A f (x) /9 – 4x2 -2 sin () +C -1 9 – 4x2 + 2 sin () +C f (x) C None of the…

A: I have appended the formula used in the solution part.

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

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given problem:-

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = ". What is the value of C if x=14 and y=4 ?…

A: Given problem:- Let F(x,y) = C be the antiderivative of f(x) =(2-√(2x+1))/(3-2x) What is the value…

Q: xcos-(x) If x =0.34 and y = 0.12, then value of C in the antiderivative of F(x)= is (use radian form…

A: If x=0.34 and y=0.12 then find the value of C in the derivative of function F(x)

Q: Determine the Average value of g(x)=-4x-3 over the interval (0,7)

A: See the details solution in below

Q: Given G = {a | a EN and 368 < a < 400} %3D G has subsets. G has proper subsets. Add Work

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

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

A: ∫ xsin22xdx=∫12x1-cos4xdx=12·∫ x1-cos4xdxUsing by parts,=12xx-14sin4x-∫…

Q: Let A=[0 1 0 0 0 1 4 -17 8 ] Show that x = 4 is a root of det(A - xI) = 0. Hence find the other…

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Q: Using reciprocal substitution x=-, the integral -dx reduces to (z- 1) 1/3 © -/t- dz 1/3 © - /(?-1)…

A:

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: In solving for the antiderivative of f(x) = V94X- x2 using trigonometric substitution, Jf(x)dx is…

A: Given that fx=9-4x2x2∫fxdx∫9-4x2x2dxlet,…

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

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Q: Use the Taylor series coefficient formula to determine the value of g(27) (0), where g(x) = (1+ x² +…

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Q: Let x = 1.52 and y = 1.99. Determine the value of C when you evaluate J cot *(2x)dx. (use radian…

A: This is a problem related to integral of the trigonometric function. Please follow the procedure…

Q: Find the intervals on which g is increasing and decreasing. g(x) = - 7x3 (x2 - 4) Select the correct…

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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: Find the exact real solutions of the following equations. (a) (2 + 1)(3" + 1) = 6" – 4 (b) 3+1 = 52…

A: Let's find.

Q: 1.) Evaluate S3xsin ()d*

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Q: 5.lf f(x) and g(x) are continuous functions, then f[f(x) · g(x)] dx = S f(x) dæ · S g(x) dx. O A.…

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 6t, y = 8 –…

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Q: Which of the following trigonometric substitutions is the most appropriate to the intgral (4e2x +…

A: Given query is to find the most appropriate substitution.

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

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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: 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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