Make a substitution to express the integrand as a rational function and then evaluate the integral: ∫ 1 / x[sqrt(x-1)] dx

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given information: Concept Used:

Q: Use the definition of the definite integral to evaluate

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

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A: Ginen integral, ∫caf(x)dx

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

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -2x…

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Q: Evaluate the definite integral using the given values

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: To find the integration.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Evaluate the integral by using a substitution prior to integration /2s + 17

A: Here we have to evaluate,

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

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

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

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Q: Use the Trapezoidal Rule to evaluate the integral [x-'dx. .-1 1

A: Equation is f(x)=1xThe value of the table for x and y x 1 1.25 1.5 1.75 2 y 1 0.8 0.6667 0.5714…

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

A: Given a function, To find the integral ,  Apply the rule of integral,

Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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

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

A: ∫f'-x+7 dx

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Consider the given integration I=∫133xx2+xdx

Q: Use the definition of the definite integral to evaluate fo (2x – 1)dx. Use a right-endpoint…

A: To Find: a. Use the definition of definite integral to find ∫032x-1dx.b. Use right-endpoint…

Q: Evaluate the integral as a number, ∞, or −∞ or  DNE if there is no limit The integral sin(x) dx [0,…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Use the Table of Integrals to evaluate the integral.    ∫et sin (α t- 3) dt

A: To evaluate I=∫et sinαt-3dt

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. -6x…

A: We have to evaluate ∫e-6xdx ,   by substituting u=-6xWe have to evaluate ∫dt1-7t6 ,   by…

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given:

Q: dx 2

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

A: ∫3718-6xdx

Q: -2 dx 1 x-1

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Q: XV3x2 – 2 dx 1

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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

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Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

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Q: Use the Midpoint Rule to approximate the integral 15 (-læ – 3a?)da with n=3.

A: Given,  ∫715(-1x-3x2)dx

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

A: Solution

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

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: To find the integration.

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Q: Evaluate the definite integral by interpreting it in terms of areas. | (2x – 16)dx 2

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral…

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Q: Use the Special Integration Formulas to find the indefinite integral.

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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: x6 dx V x14 - 3

A: ∫x6  dxx14-3 On simplification, we get ∫x6  dxx14-3=∫x6  dxx72-32 Now put, x7=t⇒7x6=dtdx⇒x6  dx=dt7…

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Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the com 4x2 dx (16 +…

A: on solving this we get the