1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

Q: Evaluate the following iterated integral: for-y |x - y dx dy. Answer: 1/3

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Q: y = Arctan ( 2+x 1-2x

A: The derivative are

Q: y= 3 Arcsec 3x

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Q: If f(x) = Α) B C D tanx sec ³x 1 + e tanx 1+tan²x 1+ e tanx sec²x 1+1² 1+e' -dt, then f'(x) equals…

A: We have to find derivative of given integral.

Q: Evaluating (A) (B S -3 of */2 si 57/2 18 18 ofth 0 (D) 9-x² dx using trigonometric substitution will…

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Q: C) (-∞,1]

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Q: Evaluate the integral: e3+cosh2x33+cosh2xsinh2x dx (Α) (3e)3+ sinh2x 2+In3 + C (3e)3+cosh2x B 2+2ln3…

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Q: dx using miscellaneous substitution will yield to secx + 1 nsforming - S 1+2 / dz √²-22² dz 1+z²…

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

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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+…

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Q: the indefinite Integral In(cosh x + ex)- A In(cosh x +ex) Sinh x + e* cosh x + ex (В sinh xtex sinh…

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Q: How many antiderivatives does a function of the form f(x) = x^ have when n*O? A may vary depending…

A: To write down the number of antiderivatives a function can have.

Q: 25. (x + 2y)dx + (2x + y) = 0 A. Exact B. Not Exact 26. (2xy2-3x2)dx + (x² + 2y)dy = 0 A. Exact B.…

A: as per bartleby guidelines i can solve only first 3 questions, please ask other separately

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

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: √√³F(x) Which of the following can be determined given Arx (f(x) + g(x) +h(x)) dx B g(x) dx ©…

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Q: Problem Solving: Prob. 1 A block of mass M = 10 kg is sitting on a surface inclined at angle 0 =…

A: Given that M= 10 kg and coefficient of static friction = 0.5 1. Minimum force necessary to prevent…

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: The general solution of (D³-4D2)y=0 is A y=c₁+ ₂²x+c₂e-²x By=c₁+ c₂x + c3e4x - 4x Ⓒy=C₁ + c₂x + c3е¯…

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Q: 1. S In(x+2) 2x+4 dx

A: Given,∫lnx+22x+4dx

Q: Transforming dx using miscellaneous substitution will yield to secx + 1

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

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Q: Solve the integral: √√ 3√x dx x²

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Q: .b if f is continuous on [a,b], and f(x) 20 then √VF(x) dx = f(x) dx T True F False

A: Topic: application of integration

Q: y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: Find the length of the curve of 8x = y² + 2y-² from y = 1 to y = 2.

A: Length

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: I sin sin ³0cos Ode by trigonometric transformation, we use the identity; To evaluate the integral…

A: We have to slove integral

Q: 1 3 x + x Solve the integral: S 6 ® ni.s.c A) 1+ x + C 6in|5+x²|+C B © h1+xel+c c) C Fin/1+ o D + x…

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Q: (A) B (C) (D) **/2 18 [*/ ces **/2 cos²0d0 18 sin²0d0 cos²0d0 0 of the 0 **/2 $ cos²0d0

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

A: Simpsons rule

Q: An equation of a hyperbola is given. (x+3)²-(y - 3)² - 1 9 16 (a) Find the center, vertices, foci,…

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Q: If = (6,-5) and a = (-2,6), find |2c +3.5d|. O √146 O 16 O 2√73 O 5√11

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 3 A 2-unit² B -unit² с…

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

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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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: y'+xy=xy^3 Solve for the solution What is the integrating factor? What is the dependent variable?

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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 B (e³+ 1)² e3 (e³-1)²…

A: Given that,

Q: Solve the following y" - 3y' + 2y = 2x2 + ex + 2xex + 4e3x -

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Q: Which integral below gives the volume of the solid of revolution obtained by rotating the bounded…

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

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Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

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Q: To evaluate the integral sin³0cosº0de by trigonometric transformation, we use the identity; 1- cos20…

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Q: dx Transforming - using miscellaneous substitution will yield to secx + 1 (A) S= -dz 1+z² ® √ ²²+2…

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

A: Answer: A

Q: Evaluate: L-¹{. S-2 (s+ 2)² - 49 4 Â) e-2t(cosh7t - -sinh 7t) 4 B e²t(cosh7t + sinh 7t) (C) e2t…

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

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Q: Question 5 Which of the following is not true? A None of the given choices ℗ √ ² in(x²) dx = I'm √…

A: The objective is to find which option is not true.