The integral dx (x²+4)² sec ³0 de sin ²0 de ° csc ³0 de ° Scos²0 do can be transformed to which of the following when trigonometric substitution is used?

Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

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Q: The solid bounded by the paraboloids 2= - 8+z²+ y² and z -3-32²-3y² has volume:

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Q: dx The integral s can be transformed to which of the following when trigonometric substitution is…

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A: We know that integration of cosx is sinx +c. And integration of sinx is -cosx+c. Here i attached the…

Q: Exercises To Solve [No.5] 4 S (x-1) √X²2X-3 dx 3-2x-x²

A: Note:- according to the company policy we have to attempt only one question so please upload the…

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

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Q: Question 18 Find the area bounded by the curve y 8 square units 4 square units 16 square units 10…

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Q: The volume of a cube is growing at a rate of 225 ft3/min, and the length of a side is 5 ft. What is…

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

Q: What is the value of f(1) - 168 in x3 Inx dx = f(x) ((1/4) Inx - B) + C? 02 8 8 0 3 1

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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: Exercises To Solve [No.5] 3dx 9x²6x+5

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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…

A: Washer Method

Q: Q4: Convert the following polar integral to Cartesian Integral in order (1) dx dy (2) dy dx T 6 csc0…

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Q: 5ñ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=to x== 4 (A) 3.667…

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Q: (5 Lim 9-5 dx S a -x²-8x-15

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Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

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: [sin(mx) cos(nx) dx 9. Suppose m and n are constants and m #n. Evaluate 1 1 -cos(m− n)x+ -cos(m+n)x…

A: Evaluate the integral

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

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Q: Evaluate (A) (В B D Stan" (x) see4x dx- 1 m+3 -tan (m+3)(x) + m+1 1 (m+1 1 tan + ¹)(x) − − m+1 m-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 to…

A: Given

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

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Q: fe²x+lnx² sin x² dx = 25-410-312-2 2M 12 e2x cos x² dx

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Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…

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Q: Question 7 Consider S= Sx- x-m+ A) 5 3x5 3x4+6r³-3x²-6x A B C -+ -+- x-1 x+1 x+m 17/6 14/3 -dx.…

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

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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…

A: The problem is to find volume of solid generated by curves revolving about a line using disk method.…

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: -1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: x-x -du -du S- @ /…

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Q: The integral ¹S. 01-fese csc ³0 de sin² sin ²0 de = [sec³ sec ³0 de + cos² cos²0 de dx (x²+4)² can…

A: We have to solve Integral

Q: Suppose m and n are constants and 1 n-m 1 m-n m-n m‡n. 1 -cos(m− n)x- cos(m+n)x] + C m+n 1 -cos(m−…

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Q: Suppose m and n are constants and m #n- Evaluate [ sin(mx) cos(nx) dx -cos (m + n)x] + C 1…

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Q: dx The integral ·S= can be transformed to which of the following when trigonometric substitution is…

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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: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

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: Consider and C. -dx Using the method of partial fractions, the given integral can be written as…

A: Here, 3x53x4+6x3-3x2-6x=x-m+Ax-1+Bx+1+Cx+mor, x4x3+2x2-x-2=x-m+Ax-1+Bx+1+Cx+mor,…

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

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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…

A: We need to choose correct option.

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: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: 19

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

A: Volume of revolution

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

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Q: [ sin(mx) cos(nx) dx- D Suppose m and n are constants and m #n. Evaluate 1 1 A -cos(m-n)x- =…

A: This question can be solved using the concept of integration of trigonometric functions.

Q: Find the area bounded by the curve y = 16 A 16 square units (B) 8 square units 10 square units 4…

A: Find the area bounded by the curve y= 1/16x3-3/4x2+3x and the line y= x .

Q: 17. Evaluate A. B. C. C 3x4+6x³3x² - 6x x² - 4x 2 x²-2x 2 x² - 4x + In 2 x²-2x-In + In -dx, using…

A: We have to calculate the given indefinite integral according to the given information