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

Q: Question 13 3 2 Evaluate the triple integral: f(x+y+z)dydxdz A) 24 B) 18 C) 6 D) 12

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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…

A: The integration are

Q: X+2 Determine the case of the following proper rational function after simplification: (x²-4)(x³-8)…

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Q: Evaluate the triple integral: 3 2 1 S³ S² S²(x+y+z)dydxdz 0 A 12 B 18 C 6 D) 24

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Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x = 3. A (e²-1)² e2 sq. units (e²+ 1)² e2 (e³-1)²…

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Q: Evaluate the definite integral by substitution: 21 1 dx 3/(1+3r)² (1) ² 3/1 + 13xdx 10 (3) [TV. (3)…

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Q: Find the volume of the solid generated using washer method by revolving the region bounded b y = x²…

A: Let's find volume of solid by using washer method.

Q: dx using miscellaneous substitution will yield to secx + 1 Transforming S Ⓒ √ ²² +²2 dz (Α) -z²…

A: This question can be solved by substituting z=tanx2

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: (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 +…

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Q: Question 5 The improper integral A e B) 0 (C) D 1 8 +∞0 Se ex dx is

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Q: Question 1 S A - -/-/- B If (0 dx (0+2)(x-1)² 12 93 -ja 12 3 - I 3 B -S[ = √( 14+2+ = -1 (1-12 4 +…

A: We can solve this as follows:

Q: Find the area enclosed by r = 2 sin 30.

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Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

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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: Evaluate the triple integral: A 24 B 6 12 18 √₁³√₁² √²(x + y + (x+y+z)dydxdz

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Q: Evaluate the improper integral A 0 B (C) 2 9 mit 3 4 √1²23 3³/30 D) diverges dx

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Q: Why is it "h • db/t + b • dh/dt"  instead of   "h • dh/dt  + b • db/dt"?

A: Using Rule of differentiation.

Q: Evaluate the improper integral (A) diverges (в B (C) ml+ 2 3 √√2²233/3dx 4

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Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

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Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: πT Evaluate the integral: sin(3x)cos(3x) dx រ 1 A 3 (B) i D 1 براس 1

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Q: dx (x+1) log(x+1) 1 -In[log(x+1)] + C In 10 -In 10 log2 (x+1)+C 2 In 10 In[log(x+1)] + C 1 Evaluate:…

A: To solve the following problem

Q: CALCULUS 2 1200-1330 TTh CALCULUS 2-FINAL TERM Exam 90 minutes remaining Oi Test Content Question 1…

A: Solve it

Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: B $S₁ (x+2)(x-1)² = √[=42+²1+ (-₁2). (x 1)² ]dx, 1 x-1 A B C If -io 9 -ja -ia 2/3 1 2|3 2/3 2 the…

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

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Q: To evaluate the integral 1 sin20 A sin cose= 2 1-cos20 B sin²0= 2 1 + cos20 (c) cos²0=- 2…

A: In this question, we want to know which identify is useful to solve the Integral.

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  f(x)=x^2 -x and x-axis.

A: Explained below

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

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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: Question 37 1 Solve the integral: S- dx √√√√x+x A m/1+ + X +C ℗ 6n/5+x²³| +C B Ⓒ1+x²+c с X C =…

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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: Horizontal element

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

A: Topic:- calculus

Q: Given A B с D f(x) dx = 0 and [ f(x) dx = 11₁ -1 11 6 55 6 0 11 5 - S²3f(x) dx - √₁2 f(x) dx.…

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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: Evaluate the improper integral 3 A 4 B) diverges C D —— 6/0 m|+ ² 0

A: Topic:- application of integration

Q: (b) En=1 m

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Q: 3. 2y"" − 3y" – 3y² + 2y = (e*+ex)²

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Q: |x-4|dx

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Q: Find the upper sum for f(x) = 2- 10 on the interval [-4,-1] using 3 rectangles. 10 Submit your…

A: Formula: Area = ∑Δxf(x)

Q: Determine the area bounded by f(x)=x²-x and x-axis. (A) 4 -unit² B unit² -unit² -unit² Ⓒ 1 15 2

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Q: Question 19 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct…

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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:

Q: Let f(x)=√3x-2 on the interval axis and find the volume of the resulting solid. 43л -unit 3 135 83…

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Q: R is the region bounded by the functions f(x) = 1 - 3 cos (x) and g(x) = 4 sin (x). Find the area of…

A: Ans : A=12 unit2

Q: Solve the integral: 1 √√√√√x+x dx

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Q: Determine the integral: x²cosxdx A x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C C…

A: integration

Q: L₁ |x|dx

A: