iven the vectors u = (8,5) and v = (-3,6), со (a) 6u (b) 7v - 2u (c) ||10u +3v||

Q: What is the value of f(1)- 168 in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? A) 3 B 0 1 2

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Q: x dx 7. The integral trigonometric substitution? sece tane de [s sece - 1 sino de S 1+ cose [sec²0…

A: We have to transform the integral using substution.

Q: QUESTION 8 The integral O S fec S S O O ·S- O x dx x²+√√√x²-1-1 sine de 1+ cose sec²0 de 1+tane cose…

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

A:

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

A:

Q: The integral S₁ substitution is used? dx (x²+4)² can be transformed to which of the following when…

A: Let's integrate by using trigonometric substitution.

Q: A ²/ (√x+2-5) (5√y+2+y+21) + C 3

A:

Q: Evaluate (A) B ze Stan" (x) sec²x dx- D tan (+2)(x) +-tan" (x) + C tan (+3)(x) +tan (+1)(x) +C 1 1…

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Q: Question 16 Л 5л Find the area bounded by the trigonometric curves y = sinx and y=cosx from x=- to…

A:

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…

A:

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: What is the value of f(1) - 16B in √ x³ Inx dx = f(x) ( (1/4) Inx - B) + C? О о O 3 02 01

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Q: Find the area bounded by the curve y=-x³ 1 - 16 A 8 square units B 16 square units 10 square units 4…

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

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Q: A -2 f Coxx dx x’sinx + 2x cosx – 2 dx + C

A: Using integration by parts,we got correct answer as option -(A)

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

A: Topic = Integration

Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

A:

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

A:

Q: Suppose m and n are constants and m‡ n. 1. Evaluate sin(mx) cos(nx) dx

A: using trigonometric identity

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

A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

Q: Question 11 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Explained below

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

A:

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

A: Explained below

Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

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

Q: QUESTION 6 Suppose m and n are constants and m‡n. Evaluate 1 1 -sin(m-n)x+ -sin (n m-n m+n n+n)x] +…

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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: Solution is here

Q: ·S- Find y dy Vy+2 using the substitutionu +5=√√y+2. A √y + 2 − 5 ) ( 5 √√y + 2 + y +24) + C (В…

A:

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

A:

Q: Stan" (x) sectx dx -tan (m + 1)(x). _¹_ -tan (m-1)(x) + C m+1 m-1 ¹__tan (™ + 2)(x) + —tan” (x) + C…

A:

Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

A:

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

A:

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

A:

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

A:

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: 3x5 S 3x4+6x³-3x2-6x x²-2x = 2 [ (x-1) 1/6 (x+2) 16/3 (x+1) 1/2 ® [ B x² - 4x 2 x-1) 1/6(x+2) 16/…

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Q: or S- For x1/2 S- S- S- 411 dx and using the substitution -du -du -du 411 √4-(21²) 2 -du the…

A:

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

A:

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

A:

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

A:

Q: 2 Find all local extreme values of f(x) = + 2x² + 6x + 80. - 3 The FIRST local extreme value, moving…

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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: The integral S sine de 1+ cose sec²0 de 1+ tan cose de 1-sine sece tane de sece-1 S x dx x²+√√x²-1-1…

A: dsecθdθ= sec θ.tan θ

Q: To evaluate fx²cos x²cosx dx use integration by parts. What is the expression after the second…

A:

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

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 1/2 0…

A: The objective is to find the correct option.

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

A: Solution is here

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

A: We have to find solutions