Solve the integral: √√ 3√x dx x²

Q: A If B C √ √ √(x + 1) dx (x+2)(x-1)² = √ [1+²+ = -1 + (-1²) x 2 (x−1)2 ]dx dx, the values of A & C…

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Q: Which of the following is a third degree partial differential equation? 3 дz J2z A др (В D др2 дz др…

A: given data  to find the degree of the partial differential equation

Q: Solve x² = 4y + 4 and x = y = 2 128 A sq. units 5 B none of the choices 2 21 sq. units 3 for the…

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

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

A: Region to be

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: Let f(x)=√3x-2 on the interval. 1] Revolve the region between the curve, y=1 and y-axis about the…

A: Here is the solution of the given problem. We solve this by using shell method

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

A: Washer method

Q: B C) + et. + 4 (2x + 1)² 4 (2x + 1)²

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Q: (x + 1) dx A (x + 2) (x− 1)² = √ [ +42 + 15 S B + x-1 C (x-1)² dx, the values of A & C respectively…

A: answer is in next step . please give a like !!!

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

A: To evaluate the integral. Option A is correct.

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

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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: x³√/x² + 1dx

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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: 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: Given the integral sec6 (x - 1) tan4 (x - 1)dx, which of the following equatio useful for…

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

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Q: If g (x) = — _ _[e¹ — ln(2t+1)]dt, find g''(x) dx -2 (A) B C) D 4 et + (2x + 1)2 4 et + (2x+1)2 e* -…

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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: a + bx² 3ax + bx³ dx

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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: If a function F is an antiderivative of the function f then F'(x) = f(x) , and ∫f(x)dx=F(x)+C for…

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

A: We have to choose correct option

Q: Evaluate the double integral: A B NIG 5 3 m|p 99 In +10 2ydydx

A: To solve the following double integral

Q: 0.06x, solve f'(x) = 130. (Round answer to nearest tenth.) Given f(x) = 250 e X =

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Q: In the indefinite Integral Sin(cosh x + ex). integrand? sinh x + ex cosh x + ex dx, what is the

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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, th (A) 0 and…

A: Topic:- application of integration

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: 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: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

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Q: Given [₁₂f(x) dx = 0 and A 0 B Ⓒ D √ √ ² f(x) dx = ²1 55 11 11 5 11 6 " •√²3f(x) dx - √₁2f(x) dx.…

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Q: How many antiderivatives does a function of the form f(x) = x^ have when n=0? A may vary depending…

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Q: d If g (x) = ª[e' - In(21 + 1)]dt, find g(x) . dx A e-In(2x+1) 4 (В et + (2x + 1)² 2 (C) (2x + 1)² 4…

A: Topic:- application of integration

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

A: Given problem:-

Q: Solve the integral: Seln(2x² + 3x−4)³ (4x + 3)dx

A:

Q: 1 √√√x + x² S- dx Solve the integral: 5in1+x² ² x ²³² | + c A C 5 n/₁+x²|+c B C Ⓒ 6in/5+x³ +C…

A: to evaluate the integral.

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

A: Let's find volume of solid when curve rotated about x axis.

Q: Practical Question: An object is moving horizontally with the speed of 50 m/s. When the object at…

A: Projectile motion is the motion of an object projected horizontally into the air and moving…

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

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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: 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: Question 10 Let f(x)=√3x-2 on the interval volume of the resulting solid. 43x 135 83m 125 83x 135…

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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: Given g is a differentiable function and range of g is on the interval I and  F is antiderivative of…

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

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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: To evaluate the integral sin³0 cosed by trigonometric transformation, we use the identity;

A: Correct Option is D