The value of integral .dz is (z – 1)?

Q: To find the arclength of y = 2x2 – 1 from æ What is the value of the integral? O to x = 3,

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Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

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Q: Evaluate the integral. сп/4 8 sec?(t) dt

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Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

Q: Evaluate the integral, if it exists.  ∫01 y (y2  + 1)5 dy

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Q: ** Using the substitution y=x, the integral eln24 evx dx is the same as or equal to

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: A? : da dy 2π

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Q: Find the integral SyVy+8 dy 4,

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Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e2 In x…

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Q: Given the integral " Se F(x, y) dydx, which ONE of the following integrals is equivalent?

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Q: Evaluate the integral by making the given substitution.

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Q: V2y? – 3 dy y?

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Q: x sin z dz dy dx 0, y

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Q: Evaluate the integrals below: (-3) a) dx, b) cosy.eny. dx (xV(1 – (In4x³)² -2 -

A: in part b i integrate with respect to y because it is no sense of integrating with respect to x

Q: Evaluate the integrals in ∫e√r/√r dr

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Q: 3 9-x 1 dy dx dz V9-2? (x² + y²)1/2 3

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Q: Use the Table of Integrals to evaluate the integral.

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Q: Evaluate the following integrals.

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Q: Use a change of variables to evaluate the defınite integral. 5 So de V1+z

A: We have to find

Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: compute the given approximation to the integral.

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Q: Express the integral in terms of the variable u, but do not evaluate it. relo In x dx; u = In x es…

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Q: Evaluate the integrals in ∫esec πt sec πt tan πt dt

A: Given: ∫esecπtsecπttanπtdt for evaluating this integral we substitute esecπt=u now differentiating…

Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Use the Table of Integrals to evaluate the integral. e70 sin 60 de

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Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: Express the integral in terms of the variable u, but do not evaluat e21 In x dx; u = In x re21 In x…

A: We are asked to evaluate the integral.

Q: Evaluate the integral by interpreting it in terms of areas. La '5 (1 – x) dx

A: The solution is:

Q: Evaluate the integral: / In(r")) d.x.

A: Solved below

Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

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Q: Calculate the following integrals. I (b) /2 I sec rdx-

A: The given integration is  I = ∫xsec2xdx

Q: Evaluate the integral cos(x?) dæ dy by reversing the order of integration.

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Q: Evaluate the following integral, yx ds where C is given by y = x for 0<x <1.

A: Given integral is ∫Cyx8ds We have to evaluate ∫Cyx8ds, where C is the given by y=x11 for…

Q: Evaluate the integral using tabular integration by parts. | (5 2² – x + 1) e¯* dæe +C

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Q: Express the integral in terms of the variable u, but do not evaluate it. re25 In x dx; u = In r In x…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Se****dx ,2x+e* vii.

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14 In x dx; u = In x e…

A: Express the integral in terms of the variable u.

Q: The following integral can be evaluated only by reversing the order of integration: 2 dy dx. y5 + 1

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Q: x+1 dx

A: We need to integrate∫x3+1xdx

Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Calculate the following integrals. (०) / जरेगार dx dr (b) */4+(In r)?

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Q: The resulting integral of S dx is In + e Tan"1+ C where a, b, d, and e are integgrs. x+x²+4x+4 What…

A: Differentiate the result of the integral:…

Q: çin fxa-lex®dx dx 3?

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Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: The integral o So e a dxdy is equal to

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14 In x dx3; u = In x e…

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Q: Find the value of P which the integral convesg'es,absolubely Conditionally Sin Vz) dx .P

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Q: Vx? – 1 dx 4

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