To evaluate (A) (B resti x²cosx dx use integration by parts. What is the expression after the second integration by parts? x’sinx+2x cosx − 2 | cosxdx+C 2/cos x’sinx − 2x cosx+2 | cosxdx+C +2 / COST x’sinx – 2x cosx − 2 | cosx dx+C -2 / COST d x²sinx + 2x cosx-2 -2 sinx d sinx dx + C D

Q: S For x 1/2 x-x3 dx and using the substitutionu=x1/2

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Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

Q: QUESTION 4 To evaluate use integration by parts. What is the expression after the second integration…

A: We have to solve above integral

Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin²x+25inx+5

A: Here is the solution

Q: Question 12 What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 3 2 D

A: Please see the below picture for detailed solution.

Q: = fx²coss x²cosx dx- use integration by parts. What is the expression after the second integration…

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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…

A: Using circular ring method about y=4 find outer and inner radius then evaluate volume

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 is to…

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Q: Question 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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

Q: Evaluate tan tan" (x) sec¹x dx O 1 −tan (™+2)(x) + — tan” (x) + C m+2 m O 1 1 -tan (m + 1)(x) — — ¹…

A: To evaluate the integral

Q: -tan (m + 1)(x) + C tan I + m um + ( x ) (x + ₁)² I m+3 1 с

A: Using substitution then integrating we get correct answer as (C)

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

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Q: y dy √y+2 15. Find /y using the substitution u +5=√√y+2.

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Q: Question 8 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Solved below.

Q: circular ring method. The formula for solving for the volume is given by V = - S" ₁ ( 1₂²-1²) · The…

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…

A:

Q: QUESTION 4 Evaluate › [ sin(lnx) dx' Integration by parts will be used repeatedly. What is the…

A: Integration by parts

Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

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Q: 3x5 3x4+6x3-3x2 - 6x uate -dx, using method of partial fractions. x²-2x O [ (x − 1) 1/6(x+2) 16/3 -…

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

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Q: Question 19 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Let's find.

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

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Q: Question 5 The integral - (Α S se ® / B Ⓒ / - (D x dx x²+√√√x²-1-1 *sec²0 de 1+tano sece tane de…

A: We have to find out

Q: Question 10 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

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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: QUESTION 14 To evaluate use integration by parts. What is the expression after the second…

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Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

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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: R 5″ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=- 4 4 (A…

A: Here we have to find the area bounded by the given trigonometric curves.

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.…

A:

Q: 6 "Cosx dx. Sinx+25inx+5

A: Integration by Trigonometric substitution:

Q: S- S- °S- S For x 1/2 x- U U 1-u4 4u dx and using the substitution -du -du -du 4u √4-(24²) 2 -du…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: Evaluate S tan" (x) sec¹x dx. I A tan (+1)(x)tan (-1)(x) + C m+l - 1 I B tan (+3)(x) +tan (+1)(x) +…

A: Let's evaluate given integral.

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

A: topic- indefinite inegral

Q: y dy Find S- y+2 A ²/(√x+2-5)(-5√/y+2+y+21)+C ℗ ²/(√3+2-5) (5√/y+2-y+24) + C B Ⓒ(√x+2-5)…

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

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

A:

Q: S- For x 1/2 U 4u U dx and using the substitution -du -du -du 4u 4- (21²) ² -du u=x1/2, the…

A: The objective is to find the correct option.

Q: Exercises To Solve [No.5] dx зах 2 x²+2x+5 9x²-6x+5 of

A: "Since you have posted a multiple question. We will solve the first question for you. If you want…

Q: y dy ³S- √y+2 3 3 0²/(√y+2-5)(-5√/y+2+y+21)+C © }(√y+2−5) (5√/y+2+y+21)+C (√y+2-5) (5√y+2-y+24)+C…

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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

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…

A: Given:  Region x2=4y             y=x24               y2=4x                y=4x                 y=2x…

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

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Q: Pre Estimate the slope (slope = rise/run) of the tangent line to the curve. Q st 6 8 P 9 6 64 4 62 4…

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

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Q: 3x³ -dx. Using the method of partial fractions, the given integral can be written as 3x4+6x3 3x2 -…

A: Here, 3x53x4+6x3-3x2-6x=3x53x(x3+2x2-x-2)=x4(x-1)(x+1)(x+2)=x-2+5x2-4(x-1)(x+1)(x+2)

Q: Question 8 dx The integral s can be transformed to which of the following when trigonometric…

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