-S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral takes the form: 4u -du 4-(24²) 2 -du S -u² U 4u 4-u² -du -du

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: Suppose m and n are constants and m‡n- Evaluate sin(mx) cos(nx) dx* 1 1 2n-m 1 -cos(m-n)x- +COS (m…

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Q: x dx can be transformed to which of the following using trigonometric substitution? x²-1-1 x² + cose…

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Q: dx The integral (244) ² + A = cos²0 de B - sec ³0 de Ⓒ+√x³0 de Ⓒ÷-sin²0 D sin ²0 de can be…

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Q: π 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=—. 4 4 (A)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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: 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: Evaluate sin (In (Inx) dx. Integration by parts will be used repeatedly. What is the expression…

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Q: Evaluate tan" (x) sec¹x dx A B © D -tan (m+3)(x) + ¹ -tan (m+1)(x) + C m+3 m+1 −tan (m +1)(x) — —_¹…

A: This question can be solved using the concept of integration by substitution.

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

A: Given

Q: dx 3-2x-x² L

A: According to our guidelines we can answer only one question. Other questions can be reposted.

Q: QUESTION 15 Evaluate sin(Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density - 9800 N/m³). Setup the…

A:

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: To Find: Setup the integral for the force on one end of the trough.

Q: pose m and n are const (-)+(+)x] + C m-n m+n [-cos(m-nx- -cos(m-n)x - cos(m + n)x] + C 1 m+n…

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Q: Question 8 The integral - Ⓒ /se (B Sa / © S³ (D S x dx x² + √x² sece tane de sece - 1 cose de 1-sine…

A: We have to slove above integration

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: waluate Stan" (x) sec¹x de m 1 m+3 −tan (m+3)(x) + 1 m+2 1 m+1 1 m+1 1 m+1 tan n (m+2)(x) + — tan”…

A: We will evaluate the given integral as shown below

Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

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Q: uppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx O -sin(m− n)x+ - _____ m+n…

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

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Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: substitutionu +5=√y+2. -5√/y+2+y+21)+C 5√y+2=y+24)+C

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

Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

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Q: Find ·S= y dy 0(√3+2-5) (5√3+2-1+24)+C 0² (√y+2-5)(-5√/y+2+y+21)+C 03/(√3+2-5) (5√y+2+y+21) +C…

A: On solving this we will get

Q: What is the approximate value of 24 that is found using the tangent line to at x = 16? Round to the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider S x-m+ (A) 6 B) 5 3x5 3x4+6x³3x² - 6x A B C + + x-1 x+1 x+m 17/6 (D) 14/3 -dx. Using the…

A: Here is the solution of the given problem. Method of Partial Decomposition

Q: Suppose m and in are constants and m #n. Evaluate O 1 cos(m-nx-cos(m+n)x]+C 2 m-n 1 2 m-n m+n 1 sin…

A: On solving this we will get Option (4) is correct

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

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Q: Suppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx' cos(m− n)x- = cos(m+n)x] + C 1…

A: Solution is here

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: (5 Lim 9-5 dx S a -x²-8x-15

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Q: S- x² + seco tan de sece - 1 sec²0 de 1+tano sine de 1 + cose cose dᎾ 1 - sino The integral [se S I…

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Q: The velocity of a projectile is found using the function v(t) = 2 + 16t and is measured in feet per…

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Q: The volume of the solid generated by revolving the region bounded by x squared equals 4 y and y…

A:

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: The integral S x dx x²+√√x²-1-1 can be transformed to which of the following using trigonometric…

A: Please follow the next step.

Q: Find the area bounded by the curve y=-x³ 16 (A) 8 square units B) 4 square units C) 16 square units…

A: Take the integral of the first curve minus the second curve.

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

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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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 B)…

A: Given that ∫x sinx cosx dx=fxsin2x-gxcos2x+C

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

A:

Q: Suppose m and in are constants and m #n. Evaluate [sin(mx) cos(nx) dx Ⓒ![_!__cos (m-n)x+ ____cos(m +…

A: Here we have to find the integration of the given function.

Q: (B) 1 1 −tan (m+3)(x) + _—__——_—_tan (m + 1)(x) + C · m+3 m+1

A: Let us use trigonometric substitution. After solving we get correct answer is option-(B) as shown in…

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

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Q: Consider I x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4…

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Q: ·S- y dy Find using the substitution u +5=√√y+2. √√y+2 ²² (√y+2-5) (5√/y+2+y+24) + C (√√y+2-5)…

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Q: QUESTION 3 Evaluate sin(Inx sin (Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: For the function y = (9x2 - 27)/x3 , determine the increasing and decreasing intervals, and identify…

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Q: π 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x==. 4 4 A…

A: I am going to solve the problem by using some simple calculus to get the required result of the…