With the equation y = Inx+1 on the interval 1

Q: / 1 – x2 dx (c)

A: Given I = ∫1-x2x3dx    ......... (1) Integration by parts ∫u(x).v(x)dx = u(x)∫v(x)dx…

Q: Find the area bounded by the curve x = (y+1)2 and y+1 = x2. Show complete solution of points of…

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Q: calculate the indefinite integral.

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Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,3π]. Surface…

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Q: x sin x dx x² + 9 2

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Q: ate the integral. S sinx

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Q: Then, compute the surface area of the solid that is formed by rotating y = In(x) on [0, n] about the…

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Q: Approximate the integral to three decimal places using the indicated rule. 308 -dx; trapezoidal…

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Q: With the equation y = lnx+1 on the interval 1 ≤ x ≤ 2, please set up but do not evaluate the…

A: for rotation about x axis :

Q: Write the integral that gives the surface area generated when the curve is revolved about the…

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Q: Find an integral to represent the area of the surface obtained by rotating the curve x= (y - 2)3/2…

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Q: Write the integral that gives the surface area generated when the curve is revolved about the…

A: Solution: The objective is to write the integral that gives the surface area generated when the…

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: Given

Q: Write a definite integral which computes the area of a surface of revolution 3 1 from rotating y=-x²…

A: Topic- Application of Integration

Q: 7) Set up and evaluate the definite integral for the area of the surface generated by revolving y…

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Q: x arctan xdx

A: To find: ∫x arctan xdx Write arctan x=tan-1x So, the given integral is ∫xtan-1xdx. We know the…

Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

A: The solution are next step

Q: Set up an integral that represents the surface area of the surface generated by revolving the graph…

A: Given problem :- Set up an integral that represents the surface area of the surface generated by…

Q: Set up the integral for the surface area of the solid created by revolving y= Vx 1< x <8 about the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

A: to find:- surface area of revolution about x axis.

Q: Use a definite integral to find the area of the region between the curve y = 16x and the x-axis on…

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Q: Use the method of anti-derivative to find the area under the curve y = 4(x³ the interval [2,4]. 4x)…

A: Before finding the area, first, we will find the x-intercepts of the curve  to check that any point…

Q: Find the surface area of revolution about the x-axis of  y= 4sin(4x), from x is greater than or…

A: Equation of curve is y= 4sin(4x) The interval is 0≤x≤π2

Q: Use a definite integral to find the area of the region between the curve y = 6x and the x-axis on…

A: Given the curve y=6x. We need to find the area of the region between y=6x and the x-axis on the…

Q: 4) Then, compute the surface area of the solid that is formed by rotating y = sin (x) [0, n] about…

A: To solve the following problem

Q: Compute the surface area of revolution about the x-axis over the interval [8, 5e] for y = x² -…

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Q: If the region is enclosed by y=x^2 and y=2x, find the exact area by a definite integral

A: Answering the question for the area enclosed between 2 curves as the 1st question is incomplete.…

Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: Evaluate Integral. integral 0 to 1 (fourth root x^5+ fith root x^4)dx

A: ∫xndx=xn+1n+1+C Concept amn=amn

Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

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Q: image attached

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Q: If the change of variables u=x2+5 is used to evaluate the definite integral what are the new limits…

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Q: Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation!…

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Q: Use the form of the definition of the integral given inTheorem 4 to evaluate the integral. integral…

A: To evaluate the integral: ∫022x-x3dx Evaluating the integral.…

Q: Evaluate the double integral that will solve for the area of the region bounded by y = cos(x) + 5, y…

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Q: IVx + 2 – a| dx 0,

A: Consider the given integral: ∫04x+2-xdx Here, the objective is to evaluate the given integral.

Q: Set up and evaluate the definite integral for the area of surface generated by revolving the curve…

A: given curve y=2x over the interval [4,9]

Q: Use a definite integral to find the area of the region between the curve y = 3x and the x-axis on…

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Q: DSX 2 X sec /x dx 3

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Q: Set up and evaluate the definite integral for the area of surface generated by revolving the curve…

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Q: if Zcand Zp is complementary function Particular integral for the equation f(x X F(x,y) respectively…

A: This is Partial differential equation.

Q: . Find the area of the surface generated when y = 5/x from x = 5 to x = 8 is revolved about the…

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Q: Evaluate the double integral that will solve for the area of the region bounded 2. by y = cos (x) +…

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Q: Set up the integral for the arc lengthof the function,y=43x32for 2≤x≤6if you integrate with respect…

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Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

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Q: (12) Sz sec¹z dz.

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Q: The definite integral that calculates the area of the shaded region is given as: yA y 1

A: use the application of integral to solve for the area

Q: Consider the curve defined by the equation y = 3x + 4x. Set up an integral that represents the…

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Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…

Q: 5. Ssin' x dx.

A: I am attaching image so that you understand each and every step.