√__(x+1) dx (x+2)(x-1)² 1 9 3 2 0-11/11 - 01/17 9 3 2 3 1 2 9 3 -io 1 9 - = 1[ A B + x+2 x-1 + C (x-1) 2 ]dr dx, the values of A & C respectively are:

Q: Question 4 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct…

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

A: Given, ∫ 9/√(x2+6x-7) dx We can calculate using substitute method

Q: cylinder cone pyramid if this triangle is rotated about the x axis, what figure is formed?

A:

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: 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: dx secx + 1 Transforming S Ⓒ 1 +²2² A 1-z² (В) / z²+z 1-z² 2-2z² © 1+z² -z² Ⓒ S 1=32/2/dz D 1+z² -dz…

A: Solve using miscellaneous substitution

Q: Solve the integral: A √√x 3 B 3√√x² +C √x² + C 6 D 6√√x +C اسے I dx

A:

Q: Question 27 Evaluate the double integral: (A) 80 B 30 с 40 D) 60 Question 28 Questions Filter (40) Y…

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

A:

Q: Question 16 d If g(x) = == S[e²-In (21+1) ]dt, find g(x). dx 4 A et + (2x+1)2 e* -In(2x+1) 4 e¹+ (2x…

A: We will first find g(x).

Q: Evaluate the integral: Se³+ cosh2x33+ cosh2xsinh2x dx 3+ (3e)3 + cosh2x A + C 2+2ln3 (3e)3 + sinh2x…

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Q: Which of the following can be determined given f(x)dx=5, g(x)dx=7, and and T h(x) dx = -5

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

A: Integration

Q: The improper integral A) 0 B 1 C D e +∞o Sto 0 8 ex dx is

A: On solving this we will get

Q: wen 1₁² / 0x хо A) (-∞0,00) B (1,00) C{0,1} D) (-∞,1] -dx, determine all value/values of P for which…

A: Here  , we have two cases when p=1 and when p not equal to 1.

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

A:

Q: Solve the integral: √x 3 / x2 + C 6 6/x + C 33.2 + A B (C) D + C dx

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

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: 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…

A:

Q: Evaluate the integral: A 16 밴 3 sin(3x)cos(3x)dx

A: ∫sin(3x)cos(3x)Substitute u=sin(3x)→dudx=3cos(3x)→dx=13cos(3x)du=13∫uduWe know that…

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

A: the point of intersection of  y=x-1 and y=(x-1)3  and y=0 are (0,-1),(1,0) and (2,1) the line…

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

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Q: The improper integral A) 0 B 1 C D) e 8 ·+∞o Ste ex dx is

A:

Q: Determine the area bounded by the functions f(x) = (x+1)³ and g(x)=x+1 3 unit² A 3 B unit² Ⓒunit²…

A: Topic:- application of integration

Q: Graph cach function using radians. 2. 1 - sin 29 - 1 2 0 0 0 یا

A: Please see the below picture for detailed solution.

Q: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: Evaluate the integral: e3+ cosh2x33 + cosh2xsinh2x dx

A:

Q: Given f(x)dx =0 and f²f(x)dx = 끝. 11 A 6 55 B 6 11 C 5 D evaluate S" 3f(x)dx - [2f(x)dx.

A: Here, given that: ∫-11f(x) dx=0, ∫01f(x) dx=116

Q: Solve the integral: Seln(2x² + 3x − 4)³ (4x + 3)dx eln(2x²+3x-4)³ A (2x²+3x-4) (2x²+3x+4)4 + C 4…

A: A detailed solution is given below.

Q: [_²_f(x) dx = 0 and [ f(x)dx = 11₁ Given 6 A 0 B C D 11 5 11 6 55 6 evaluate 1 [²3f(x) dx - √₁2 f(x)…

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

A: D is correct option.

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

A: Correct option is A

Q: tanx f f(x) = = [tion. A B C √1+1² 1+e' In (secx)√1+tan²x tanx 1+e sec²x 1+ e tanx sec ³x tanx 1+e…

A: Integration

Q: If ƒf (x) =¸ (A) (B) Sº sec²x 1+elanx In (secx) √✓ 1+tan²x tanx 1+e sec ³x tanx 1+e 1+1² tanx…

A: Using Leibnitz integral rule.

Q: Question 5 3 Evaluating √9-x² dx using trigonometric substitution will lead to: A 35*1/2 cos²0d0…

A:

Q: Question 32 Solve the integral: A) 3√√√x² +C (B) ex 3 2√x² +C с D 6√√x +C 3√x x² dx

A:

Q: Question 9 Which of the following represents the volume of the solid generated by revolving the…

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Q: +3x-4)³ (4x+3)dx + C Solve the integral: Seln(2x²+3 (2x²+3x+4)*(4) A 3 (2x²+3x+4)4 4 eln(2x²+3x-4)³…

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

A: We have to choose correct option

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

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Q: =√x, x=4 and the x-axis, the limits of integration are: If a horizontal element is used to find the…

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Q: Solve the integral: A 6√√x +C B + C C D 37 6 3√√√x² √√√3/X 1x|m √x + C dx

A:

Q: Question 25 x + 2 Determine the case of the following proper rational function after simplification:…

A: We have to determine proper rational functions and choose correct options

Q: Determine the area bounded by the functions f(x) = (x + 1)3³ and g(x)=x+1₁ A unit² B unit² 3 Ⓒunit²…

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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: 3x e 1+e³x 13. What is the best substitution to make to evaluate S O u = 3x Ou = e³x Ou=1+e³x O u =…

A: A detailed solution is given below.

Q: Evaluate

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Q: 2x ind the derivative of: 2e cos(8x). [Hint: use product rule and chain rule!] se e^x for e*. ow,…

A: