Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+5about the x-axis. A 37x unit ³ B 63x unit 3 72π unit 3 56x unit 3 D

Q: Evaluate

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Q: Question 3 In the indefinite Integral in(cosh. x +ex). sinh x +e* (A cosh x + ex sinh x + ex In(cosh…

A: The integration are

Q: 11 |_₁_f(x) dx = 0 and ² f(x)dx==1₁ 11 5 Given A Ⓡ 555 B 6 C D 킁킁 11 6 0 evaluate [²3f(x) dx -…

A: B option is correct.

Q: 2) Find the standard deviation of the population sample. 2, 4, 7, 12, 15 3) Find the variance for…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

A: We need to find volume.

Q: 3 2 1 Evaluate the triple integral: S (x+y+z)dydxdz (A) 12 B) 18 24 (D) 6

A:

Q: We can apply General Power Formula of Integration on which of the following integrals? I coshus / A…

A: In this question, we want to know that on which of the following integrals we can apply the general…

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x +1. 1 A = unit ² B 3 2…

A: Determine the area bounded by the function f(x)= (x+1)3, g(x)= x+1 .

Q: 3 1 Evaluate the triple integral: f(x+y+z)dydxdz S (A) 24 (B) 12 C) 6 (D) 18

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Q: tanx If f(x) = (Α) B C D S 0 sec ³x 1+etanx In (secx) √ 1+tan²x tanx 1+e sec²x 1+ etanx 1+1² -dt,…

A: Here, given that: f(x)=∫0tan x1+t21+etdt...(1)

Q: (x+1)x (x+2)(x-1)² If f @ 1/1 1/1/0 93 B C D 9 . - 2 3 2 9 3 - 2/3 . 93 A B 421 + + x+2 C (5-131].…

A: Explained below

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

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Q: To evaluate the integral sin³0cos0de by trigonometric transformation, we use the identity; A sin²0=…

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Q: Can you please write out on paper how to solve this equation? I can't understand the typed out…

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Q: Question 28 dx Evaluate: Tx (x+1)log(x+1) 1 A -log² (x+1)+C 2 1 ® --In 10 log² (x + 1) + C B 2 (C)…

A:

Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: The limits of integration will be the interval on the x-axis for which the area is bounded.

Q: Let f(x)=√√√3x-2 on the interval √[²/3, ¹1] y=1 and y-axis about the y-axis and find the volume of…

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Q: Evaluate the double integral: 5 A 3 B C) D m|w 8 +10 √² √V ₂. Sª S 2ydydx 1 2

A: To evaluate: ∫14∫1x2y dy dx

Q: 1 x + × olve the integral: 5 ® shi+x+c A C 5 6 ® $h1+x+c B C © 6n|5+x²|+c C D Shi+x+c C dx

A:

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: C option is false.

Q: 1 X + X Solve the integral: Gin|5+x²|+C A 5 @ B {/in/1+x³²|+c C © =√³ m/₁ + x ²³ / + C 6 ©…

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Q: d If g(x)=- S* [e²-In (21+1) ]dt, find g(x). -2 2 (2x + 1)2 4 B (2x + 1)² Ⓒe-In(2x+1) 4 (2x + 1)² di…

A: We have to find out derivative

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u 9…

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Q: (x+1) dx (x+2)(x-1)² 2 3 If 15 S. A B (C) D -10 2 . 9 3 W|N I 93 9 —— 3 =1[₂ = A x + + B x-1 +…

A: See the details solution in below

Q: Question 17 The improper integral A 00 B) e C) 0 (D) 1 if the 0 edx is

A:

Q: A B 15 / = √=42+ = ²1 If S (x+1) dx (x+2)(x-1)² + x x-1 1 2 A - 93 2 B C (D) 1 -la - 93 -la I 2 3 2…

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Q: Determine the area bounded by the functions f(x)=(x + 1)3 and g(x)=x+1,

A:

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: If fx and gx are integrable on the closed interval a, b, and k is a constant, then to determine wich…

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A:

Q: 3 Evaluate the triple integral: (x+y+z)dydxdz A) 12 B) 24 с 6 (D) 18

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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Q: Given the integral sec (x - 1) tan4 (x-1)dx, which of the following equations will be useful for…

A:

Q: Given the integral sec6 (x − 1) tan4 (x - 1)dx, which of the following equations will be useful for…

A: The given integral,       ∫sec6x-1tan4x-1dx

Q: If g(x) = - - S^*[e'- In(2t+1)]dt, find g'(x) . dx A ex-In(2x+1) 4 B

A: We can solve this as follows:

Q: X+2 Determine the case of the following proper rational function after simplification: (x2 -…

A:

Q: The improper integral (A) e B) 0 с 00 D 1 8 0 edx

A: ∫0∞e-xdxSubstitute u=-x→dudx=-1→du=-dx=∫-e-x

Q: S Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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Q: S D dx (x+1) log(x+1) In[log(x+1)] + C Evaluate: A In 10 ® -log B log² (x + 1) + C In 10…

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Q: In the indefinite Integral in(cosh x A In(cosh x + e*) sinh x + ex B cosh x + ex sinh x + ex…

A: A detailed solution is given below.

Q: 2 Let f(x)=√√3x-2 on the interval y-axis and find the volume of the resulting solid. 43x A -unit3…

A: Let's find volume of solid given curve.

Q: X √√x dx Solve the integral: (A) 3 B + C 6 с 6√√x +C D 3√√√x² +C

A: To integrate the following problem

Q: 1 11 Given 1 [²_f(x) dx = 0 and [ f(x) dx = 1 1 ₁ ¹3f(x) dx - 2f(x)dx. evaluate 6 0 -1 55 A 6 11 B 5…

A: A detailed solution is given below.

Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

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Q: Question 33 Evaluate: :S₁ A B с D dx (x+1) log(x+1) -In[log(x+1)] +C In 10 -log² (x + 1) + C 2 -In…

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Q: √²¹ fő fő¹¹ (x + y + z) dz dy dx 0

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Q: sinh xte cosh x + ndefinite Integral Sin(cosh x + e*)- In(cosh x + e*) sinh x te cosh x + ex

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

Q: Evaluate the integral: Se³+ A B C 3+cosh2x33+cosh2x sinh2x dx (3e)3+cosh2x + C 2+2ln3 (3e)3+ sinh2x…

A:

Q: Question 15 Evaluate the double integral: (A) 40 B) 80 C) 60 (D) 30 ²² 6) (3x² +9y²) dxdy

A: we can find the double integral.

Q: Which of the following can be determined given 3 3 3 [ f(x)dx=5₁ g(x)dx=7, and 1₁h(x) dx = -5 4 A…

A: Given the integral values of f(x) , g(x) , and h(x) on different intervals.  We need to check the…