Why can the constant of integration be omitted from the antiderivativewhen evaluating a definite integral?

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 cosh(/x) xp

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(8x + 5)®dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 cosh(Vx)

A: ∫8coshxxdxlet u=x,⇒ du=12xdx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(st) sin(5t) dt

A: Given : ∫ecos5tsin5tdt

Q: The main reason for numerical integration is to approximate definite integrals that can not be found…

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Q: Find the indefinite integral. (Use C for the constant of integration.) (In x)7

A: This is a basic integration problem

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dz 3 7 + z4

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Q: Explain why the limits of integration are changed when u is substituted for an expression in x in a…

A: The limits of the integration are substituted at the end of the integration when the function is…

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 25z2 - 49

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Q: te-t dt.

A: To find ∫03te-tdt

Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jove ex V45 + ex dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) x + 8 dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 8. x° dx

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Q: Reverse the order of integration and evaluate the resulting integral: drdy Approximate your answer…

A: Here we have to draw the region as per the limits. In this question x=3y and x=3. Using these…

Q: What is the variable of integration in the following definite integral? Type only one variable. ∫pq…

A: The given definite integral is,

Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) | In(er - S) de

A: First simplify the expression inside the integral then integrate.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(7 – x)9 dx

A: To determine the indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 49z2 - 9

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 7)®dx

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Q: Evaluate the indefinite integral. (use C for the constant of integration.) ∫x^5/(x^6+1) dx=

A: We can find the integration as below

Q: Find the indefinite integral. (Usec for the constant of integration.) (2ti + j 6k) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 8x3 + x2 X dx

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Q: Evaluate the integral ∫−10(x−9)(x+5)(x−2)dx∫−10(x−9)(x+5)(x−2)dx   Note: Use an upper-case "C" for…

A: Integral is done by doing partial fraction first

Q: Evaluate x dx from the definition of RS-integral.

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Q: Find the indefinite integral. (Use C for the constant of integration.) |Vtan(8x) sec²(8x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (ain(x) + 8 sinh(x) -

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Q: Evaluate r In(x)dydx by choosing the order of integration. Round your answer to three decimal…

A: ∫1e∫12x2ln(x)dydx =∫1ex2lnxy12dx =∫1ex2lnxdx applying integration by parts u∫vdx-∫ddxu×∫vdxdx…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec'x tan x dx

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Q: Evaluate the integral 5(x – 9) dx (x + 5)(x – 2) Note: Use an upper-case "C" for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x + 45 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dr

A: Follow the procedure given below.

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 cosh(Vx) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (2 − 2x)6 dx

A: Let z = 2 - 2xHence, dz = - 2dxHence, dx = -dz/2

Q: Find the indefinite integral. (Use C for the constant of integration. 5 coshyx) de

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Q: Evaluate the integral. (Use C for the constant of integration.)

A: Given: Let I=∫e4x+e-4x2 dx To Find: To evaluate the given integral.

Q: Evaluate the indefinite integral. (use C for the constant of integration.)   ∫(−7x3+2x2+5x+3)/(x) *…

A: To evaluate

Q: What is the reason that the integral or antiderivative always has an arbitrary constant C?

A: The integral or antiderivative always has an arbitrary constant C, because it express the general…

Q: ***** Find the indefinite integral. (Use C for the constant of integration.) 15 XV 25 - (In x)

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Q: How is integration by parts used to evaluate a definite integral?

A: Consider the given statement as How is integration by parts used to evaluate a definite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ex V 33 + eX dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 cosh(x) dx

A: Evaluate the integral∫2coshxxdx

Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7 - ex dx

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Q: when integrating an indefinite integral, your antiderivative must include a "+C" to represent the…

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