To evaluate [x²cosx dx. Use integration by parts. What is the expression after the second integration by parts? x’sinx – 2x cosx − 2 | cosx dx +C -2 / COST x²sinx + 2x cosx-2 sinx dx + C -2 sinx o x’sinx+2x cosx − 2 | cosx dx + C -2 / COST x’sinx – 2x cosx+2 | cosx dx+C +2 / COST

Q: Exercises To Solve [No.5] OS s dx (x-1) √x²2x-3 3-2x-x²

A: Explained below

Q: Exercises To Solve [No.5] dx 05². of зах (2) x²+2x+5 9x²6x+5 D

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Q: QUESTION 7 ·S sin²t sin²0 de csc³0 de sec ³0 de cos²0 de The integral dx (x²+4)² 01 Secto 0 + can be…

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Q: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

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Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A 1/2 B…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: 7. Compute the Jacobian of the following transformation. x=u²+uv y=3uv².

A: The given data is: x=u2+uvy=3uv2 To find the Jacobian transformation.

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: Solution is here

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Question i: Kim is needing $3000 for a trip. she can make an investment that offers an interst rate…

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Q: Find the area bounded by the trigonometric curves O2.828 square units 1.414 square units 3.667…

A: topic - area bounded by curves

Q: 16. Evaluate the integral or show that it is divergent dx x+1 1 (a) √ (3x+1)³², I (3+1), (b) /…

A: We need to find out here  integrals.

Q: Evaluate x2— 2x = In 4x–ܐ0x 3 5 3x4+ 63 - 3x2 -— 6x 2 O,2-4x 2 0 x²-2x 2 + ܀ -dx using method of…

A: Let's evaluate given integral.

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: What is the average rate of change of y with respect to z over the interval [-3,-1] for the function…

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Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

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Q: To evaluate te use integration by parts. What is the expression after the second integration by…

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Q: Find the area bounded by the trigonometric curves y=sinx and 3.667 square units 3.459 square units…

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Q: Question 13 Evaluate S A B 3x5 3x4+6x³ 3x² - 6x x² - 2x 2 - 4x 2 x² - 4x 2 -dx. using method of…

A: First of all note that:…

Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Given problem:- Use double integral polar coordinates to find the area of the portion of the surface…

Q: S For x1/2 x−x³ dx and using the substitution u=x1/2, the resulting integral takes the form:

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Q: Integrate f(x, y, z)= -√√x²+² over the circle r(t)=(acost)j + (asint)k, 0≤t≤2.

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Q: For x 1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: 4u -du 4-12…

A: We can solve the integral by using substitution .

Q: Question 19 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=-to x=-…

A: Given

Q: (B) Simplify the following expression sin (2 tan" x), then find the value of the following into sin…

A: 2tan-1x =sin-12x1+x2 .

Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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Q: To evaluate x²cosx dx' x2sinx+2x cosx – 2 x2sinx+2x cosx – 2 x²sinx- – 2x cosx — 2 x2sinx – 2x…

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Q: Suppose m and n are constants and 1 1 —sin(m− n)x+ - -sin(m+n)x+C 2 m-n m+n 1 = cos(m− n)x - 1…

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Q: Evaluate tan" (x) sec¹x dx m+ 1 m+1 1 m+2 B D -tan (m + 1)(x)-tan (-1)(x) + C m - 1 (m+1)(x) +tan…

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/2…

A: We have to find the integral

Q: (c) y = 1, y = 1/2, x = 2 (d) y = √x, y = 22, x=9 (e) x = 2y², x = 4 + y² (f) x = 1 - y², x = y² – 1…

A: The area between any two curves is given by formula A = ∫ [f(x) - g(x)] dx  with limits from a to b…

Q: e /// 2 Evaluate 2xz dV where E {(x, y, z) |1 ≤ x ≤ 4, r ≤ y ≤ 2r, 0 <z<x+3y}

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Q: lim F(x) lim F(x) x--6 What is the value of the limit? Select the correct choice below and fill in…

A: We have to find the limit

Q: The table below shows the average rates of change for points near In (2) for the function f(x) = e +…

A: We have to find the instantaneous rate of change

Q: QUESTION 8 Consider S S[x_m+ 17/6 5 6 14/3 3x5 -dx- Using the method of partial fractions, the given…

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Q: WAN 1 2 3 4 The graphs of 4 functions are shown above, and the graphs of the derivatives of those…

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Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

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Q: Solve DE using Bernoullis Equation

A: NOTE: Refresh your page if you can't see any equations. . take reciprocal on both sides…

Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

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Q: he definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative…

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Q: 2 f sinx x2sinx + 2x cosx – 2 sinx dx + C

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Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1 1/2…

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Q: 1.₂0 +00 1 2. Determine whether the integral da converges or rvin x diverges. If it converges,…

A: We have to find out integral

Q: Suppose m and n are constants and m #n. Evaluate I sin O 1 1 -cos(m-n)x- - cos(m+n)x+ C n-m m+n 1 1…

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2 = 4x about y=4 is…

A: The full solution of the question is given below:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: 1 3 Find the area bounded by the curve y== -x3. -x² + 3x and the line y=x. 16 10 square units 8…

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