| xe dx, u = -x? хе

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: In Exercises 25-28, evaluate the integral in the form a sin(u(x)) + C foran appropriate choice of…

A:

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: We have to evaluate ∫tan-1x2x2+1dx Let substitute u=tan-1x ⇒dudx=ddxtan-1x⇒dudx=11+x2⇒du=11+x2dx…

Q: In Exercises 5-40, evaluate the integral using FTC I.

A: Given: ∫0π3cost dt

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A:

Q: In Exercises 85-98, use the Change of Variables Formula to evaluate thedefinite integral.

A: Given:∫1017x-9-23 dxIntegrating formula:∫xn dx=xn+1n+1

Q: Evaluate the improper integrals in Exercises

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: In Exercises 49-54, evaluate the integral in terms of the constants.

A: We have to evaluate ∫-xxt3+1dt From Property of definite integral, we have ∫-aafxdx=2∫afxdx…

Q: In Exercises 43-48, write the integral as a sum of integrals without absolute values and evaluate.

A: Given- ∫0πcos xdx To find- Evaluating the above integral using proper identities. Concept used- As…

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A:

Q: In Exercises 57-60, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7

A: ∫abf(x) dx=-∫baf(x)dx∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx

Q: Evaluate the improper integrals in Exercises

A: "Since you have posted two questions, we will solve first question for you. To get another question…

Q: In Exercises 61-64, express each integral as a single integral.

A: The given integral is , ∫73fxdx+∫39fxdx To write the given integral in a single integral, applying…

Q: In Exercises 29-76, evaluate the indefinite integral.

A: We have to evaluate the integral: ∫sec2xdxx We will use substitution method since derivatives of one…

Q: In Exercises 71-74, calculate the integral.

A: Consider the provided integral, ∫13|2x-4|dx Evaluate the provided integral. The our function is…

Q: In Exercises 25-28, evaluate the integral in the form a sin(u(x)) + C foran appropriate choice of…

A:

Q: In Exercises 52-56, evaluate the integral using the formulas in the summary and Eq. (9).

A: Here given as I=∫-222x3-3x2dx or I=2∫-22x3-3∫-22x2dx

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: Given : ∫t34 - 2t411dt

Q: In Exercises 57-60, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7

A: Definite integral: Property of definite integral Reversing the limits of integration changes the…

Q: In Exercises 25-28, evaluate the integral in the form a sin(u(x)) + C foran appropriate choice of…

A: Evaluate: ∫ x3 cosx4 dx

Q: In Exercises 61-64, express each integral as a single integral.

A: The given integral is ∫03f(x)dx+∫37f(x)dx. Concept used: Property of integral:…

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: Given: ∫x24-xdx

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: Given integral: ∫8-x23dx Substitute the value of (8-x)=u and differentiate it w.r.t "x"…

Q: In Exercises 71-74, calculate the integral.

A: GIVEN:∫02 x2-1 dx

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: It is given that,∫sinθ cos3θ dθ ,  u=cosθ. We have to write the integral in terms of u and du. Then…

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A:

Q: In Exercises 5-40, evaluate the integral using FTC I.

A:

Q: In Exercises 5-40, evaluate the integral using FTC I.

A: ∫0π6secθtanθ dθ