If given integrand is x² cos 2x dx and dv is equal to cos 2x dx, what is v?

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

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Q: Which of the following can be determined given .3 3 3 [ f(x)dx = 5, ³g(x) dx = 7, and g(x) dx = 7,…

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Q: dx Evaluate: √(x+1) log(x+1) A In 10 log² (x+1)+C 2 B In10 In[log(x+1)] + C C In[log(x+1)] + C In 10…

A: Evaluate ∫dxx+1logx+1

Q: 1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r =…

A: We need to find area.

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

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Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D3 + 2D2 – 5D – 6)y =

A: Topic:- differential equations

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

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Q: Let f(x)=√3x-2 the y-axis and find the volume of the resulting solid. 83 (A) -unit ³ 135 83 (B)…

A: We will draw the curve f(x) and y=1. Points of intersectionf(x)=3x-2   and y=11=3x-2 1=3x-2x=1Point…

Q: $²² Α) (1,∞0) B (-∞,1] (-∞0,00) Given D {0,1} dx, determine all value/values of P for which the…

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Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

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Q: If f (x) = A (В B C D Stams. 0 sec²x tanx 1+1² Ite¹ 1+e tanx sec ³x 1+e -dt, then f'(x) equals tanx…

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Q: Question 31 Evaluate the integral: A B C D H|m 1 1 13 1|6 sin(3x)cos(3x) dx

A: To evaluate the integral.

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

A: Please follow the next step.

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

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Q: From a table inside a room with current temperature of 32 degrees Celsius, a left over Fried Chicken…

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

A: Length

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

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

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Q: S √√9-x² dx using trigonometric substitution will lead to: **/2 cos²0d0 Evaluating Ⓒ 18/² A 95*1/2 B…

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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: How many antiderivatives does a function of the form f(x)=x" have when n*0= A) infinitely many (B)…

A: We have to choose option find antiderivative

Q: tank has pure water flowing into It at 10 L/ min. The contents of the tank are kept thoroughly…

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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л A -unit 3 125 43л 135 43л 125 83л…

A: Let's find volume of resulting solid.

Q: Question 20 Determine the area bounded by the functions f(x) = (x + 1)³ and A unit² А 3 Ⓒunt² B 3 C…

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Q: Determine the 3rd derivative of the given function f(x) = (3x² - 5x + 6)4.

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Q: If f(x) = A B tanx 1+e 1+1² 1+e¹ In (secx) √ 1+tan²x 1+ e tanx sec 3x tanx -dt, then f'(x) equals

A: solution:-f(x)=∫0tanx1+t21+etdtApplying leibniz integral…

Q: y = 2 sin 3x 1+3cos2x

A: We are given  y= 2sin3x/(1+3cos2x)  We have to compute y'.    Before computing y', let us first see…

Q: 1 S dx 3 x + x Solve the integral: 5 A + x +C 1+x+c n 1+x+c in 1 B + x + C © 6/5+x²³/+c C ® 1+x+c In…

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Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

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Q: Which of the following can be determined given f(x)dx=5, g(x)dx=7, and h(x)dx= -5 Ⓒ [²(f(x) + g(x) +…

A: Give∫13 f(x) dx = 5, ∫03g(x)dx=7, and ∫13h(x) dx = -5

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

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: The correct answer is option (c).

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 sq.…

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Q: X √√√3/2 x² Solve the integral: A 6√√x +C 3√√x² (B - + C 6 Ⓒ3√√√x² +C с √x (D 3 dx

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Q: In the indefinite Integral Sin(cosh x + ex)- integrand? A In(cosh x + ex) B sinh x + ex In(cosh x +…

A: The given function whose integral is to be found is called the integrand.

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: Consider the solid bounded above by x² + y² + ² = 2 and bounded below by z = √√x² + y². Set up a…

A: Volume

Q: Q/IF 3 = sin(x) 0²³²141 y= (4) y = 3/2 I sin(x) cos(x) Prove that

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

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Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

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Q: Question 33 If g(x)=- A) B D d = 2√²-1 (2 ·S^*^[e'-In(21+1)]dt, find g''(x) - 4 (2x+ (2x + 1)² e*…

A: Solved below.

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

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Q: y = 3 Arcsec 3x

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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

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Q: for Which of the following can be determined given S √₁² f(x)dx = 5,³ g(x) dx = 7, and d Ⓒ [[²(f(x)…

A: ∫ab fx±gx dx =∫ab f(x) dx ±∫ab g(x) dx ∫ab kf(x) dx =k∫ab f(x) dx ; where , 'k' is an constant.

Q: The general solution of the equation (D4 +D²)y= -12 is Ay=C₁ + c₂x + c3cOSX + csinx - 6x² B y=C₁ +…

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Q: Transforming A B C D dx using miscellaneous substitution will yield to secx + 1 2-2z² -dz 1+z² z²+z…

A: Here, the given integral is: I=∫dxsec…

Q: Evaluate the triple integral: A) 6 B) 18 C) 24 D) 12 3 2 1 ²³√ [²√ √ 0 (x+y+z)dydxdz

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