dx S= can be transformed to which of the following when trigonometric substitution is used (x²+4)² Ⓒ-csc³0 csc ³0 de ® - cos²6 cos²0 de 8 sin²0 de 8 Ⓒsec³e The integral sec ³0 de

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

A: Given

Q: Exercises To Solve [No.5] Lim 9-5 -4 dx 8X-15 "Cosx dx. 6 Sin²x+25inx +5

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

A:

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

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Q: Evaluate sin (Inx) dx. Int second integration by parts

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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…

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Q: 4. Find a unit vector that points in the same direction as v = (1,3,9).

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Q: What is the value of 1)- 168 in x² Inx dir = f(x) ( (1/4) Inx-8) + C? 03

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Q: Find y dy ·S= using the substitution u +5=√√y+21 Vy+2 ²/(√√y+2-5) (5√√y+2+y+24) +C…

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: Washer Method

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

A:

Q: The volume of the solid generated by revolving the region bounded by x²=4y and is to be solved using…

A:

Q: The integral B D a us can be transformed to which of the following using trigonometric substitution?…

A: Topic = Integration

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

A: ∫xx2+x2-1-1dx=∫secθ.secθtanθsec2θ+sec2-1-1dθ=∫sec2θtanθsec2θ-1+sec2-1dθ=∫sec2θtanθtan2θ+tanθdθ=∫sec2…

Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

A:

Q: QUESTION 12 x 1/2 ·S For S S- S- dx and using the substitution=x1/2, the resulting integral takes…

A:

Q: dx 2. The integral S can be transformed to which of the following when trigonometric (x²+4)²…

A: Please see the answer below

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

A:

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

A: solution

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: Find the area bounded by the trigonometric curves Ⓒ 3.450 square units O 2.828 square units O 1.414…

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)?…

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Q: Question 1 A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³).…

A: We need to find the integral for work done in pumping the content to a point 3m  from the top of…

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

A: We have to find the solutions

Q: Question 21 Consider S x-m+ 17/6 B 5 6 14/3 3x-5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x + m -dx. Using…

A:

Q: Evaluate fun" (x) setx de Stan" 1 -tan (m + 1)(x) + — -tan (m-1)(x) + C m-1 ₁ (m + 2)(x) + -tan" (x)…

A: On solving this we will get Option (3) is correct

Q: Find the are bounded by the trigonometric curves y=sinx and y=cosx from x = pi/4 to x = 5pi/4

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) 1/2 B)…

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Q: s 3x5 3x4+6x³-3x2 - 6x Evaluate x²–2x Α) +In x² - 4x Ⓒ²-*** B + In 2 x²-2x-In x² - 4x 2 dx. using…

A:

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

A:

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

A:

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: Exercises To Solve [No.5] 3-2x-x²

A: Solved below.

Q: Evaluate Stan" (x) sec¹x dx- 1 A -tan ₂ (m+3)(x) + —_—_—_tan (m+1)(x) + C m+3 m+1 1 1 B −tan…

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Q: ad Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: We have to solve the trangent line y

Q: Consider √(x-m S 3x5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x+m + -dx. Using the method of partial…

A:

Q: 3x5 Evaluate S 3x4+6x33x2 - 6x O x2−2x +In 2 x²-2x-In O x² - 4x 2 O x² - 4x 2 -dx, using method of…

A: Integration

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…

A:

Q: Evaluate S= 3x5 3x4+6x33x2 - 6x + In O x-2 2 x² - 4x 2 O x² - 4x + In 2 x²-2x-In + In -dx using…

A: Given problem:-

Q: ·S= x²-2x-In Evaluate 3x5 3x4+6x3-3x2 - 6x √(x − 1) 1/6(x+2) 16/3 (x+1) 1/2 (x-1) 1/6(x+2) 16/3 x +…

A:

Q: dx 3-2x-x²

A: Evaluate the following

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

A:

Q: Evaluate A B с D S= 3x-5 3x4 + 6x3-3x2 - 6x x² - 4x 2 x² - 2x 2 x² - 4x 2 x2-2x-In (x-1) 1/6(x+2)…

A:

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

A: We need to setup integral.

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Q: Find the value of k that will make the function f 2 if x<-4 . f(x)= -x+3k, if x2-4 Blank 1 Blank 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: x1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: U -du ·S (A S- ® /…

A:

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,…