Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de - NOTE: Your answer should be in terms of x and not u.

Q: Evaluate the double integral for the function f(x, y) = 3xy² + 8x* over the rectangle defined by 0…

A: The function fx,y=3xy2+8x4 over the rectangle defined by 0≤x≤1 and 0≤y≤3

Q: Use the substitution formula to evaluate the integral.

A:

Q: calculate the integral in terms of the inverse hyperbolic functions.

A: We know that

Q: Use U-Substitution fo evaluate the integral,

A: Given

Q: |In (x)| dx 00 1+ x2

A: Given integral

Q: Express the integral in terms of the variable u, but do not evaluate it. In x -dx; u = Inx e3 rel4…

A:

Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: To make the answer in inverse hyperbolic form, do the following substitutions. Substitute x=sint in…

Q: Evaluate the integral ,(1 – x – 4x³ + 2x³) dx a) Analytically b) Single application of trapezoidal…

A: we have  f(x)=1-x-4x3+2x5 we need to find ∫-24f(x)dx  a) analytically b) using trapezoidal rule

Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: Let I=∫dx16+25x2. To find the value of integration, first, simplify it as the following.…

Q: Evaluate the integral. inegral  0 to 1    [ (x-4) / ( x2  - 5 x +6 )] dx

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Q: Evaluate the integral. (Use C for the constant of integration.) tan3(x) sec (x) dx

A:

Q: Using only the definition of RS-integral, evaluate .2 x* d[x}.

A:

Q: Evaluate the integral || (x + y)e**-y dA by making an appropriate change of

A: Given data:     The given integral is: . The first equation is: x-y=0 The second equation is x-y=3.…

Q: 56. 1 dx V1+9x2

A: Given, ∫dx1+9x2

Q: Using only the definition of RS-integral, evaluate 2 |x* d[x}.

A:

Q: Use u-substitution to evaluate the integral: x/(x+2)^3   dx

A:

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

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx Vre(36VT)…

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Q: Evaluate the integral. (Use C for the constant of integration.) dx x² - 3

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. dx

A:

Q: Use substitution to find the indefinite integral

A: Given, ∫2+lnxx dx

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

A:

Q: Calculate the integral in terms of the inverse hyperbolic functions.

A: Calculate the integral in terms of the inverse hyperbolic functions.

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: Use substitution to evaluate the integral in terms of f (x):                                  ∫…

A: ∫f'-x+7 dx

Q: Evaluate the integral or show that it is divergent.

A: Given: I=∫2∞dxxlnx                           ..1 for evaluating given integral, we substitute lnx=t…

Q: u= 4-xneduce the ntegral to standand ferm Sonm dx 4-x)=

A: ∫x64-x72dx In this problem we need to reduce the given equation into standard form and solve the…

Q: dx X-1

A: Given : ∫xx-1dx

Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: What is the integral of the constant function f(x, y) = 5 over the rectangle [-2, 3] x [2, 4]?

A: Given:            f(x, y) = 5   over rectangle -2, 3×2, 4

Q: use interval additivity to show that  (integral a to b)(x+1)^2 dx = F(b) - F(a)

A: Solving by interval addditive property we have

Q: Use substitution to find the indefinite integral

A: Given ∫1xlnxdx

Q: Evaluate the integral. inegral x4 /(x-1) dx

A: Given: ∫x4x-1dx

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (18…

A: ∫3718-6xdx

Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: Evaluate the integral J x3 dx V64-x²

A: let I=∫x364-x2dx

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan*(x) sec (x) dx

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Q: use substitution to evaluate the integral in terms of f (x).

A:

Q: Using only the definition of RS-integral, evaluate .2 x* d[x).

A:

Q: Find the indefinite integral. (Use C for the constant of integra 2 xp xV4 - (In x)2

A: Solution

Q: x – x dx J 1+3x² – 2x3

A: Given, The integral ∫x2-x1+3x2-2x3dx  We have to evaluate the integral using substitution rule.

Q: Evaluate the integral using property of So √x e² dx' the F

A: Given:  To evaluate ∫x1/2*e-2xdx using property of pdf ?

Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

A:

Q: f(x)° f' (x) dx

A: Given, ∫fx3 f'x dx   We have to evaluate the integral in terms of x .

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. 2 5x…

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Q: Calculate the integral, assuming that f(x) dx = -4 and g(x) dx = 27. (Give your answer as a whole or…

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Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

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Q: Sx (x² + 4)5 Se3*dx

A:

Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral below. V3x +2 dx

A: