.5 .2 x'dx 2

Q: owing integral equal?

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Q: evaluate the integral using the methods covered in the text so far.

A:

Q: x arcsin(x²) dx;

A: Given that: *∫sin-1u×du=u×sin-1u+1-u2+C The given expression is, ∫x×sin-1x2×dx Let,  x2=u,…

Q: Find the indefinite integral. Use a computer algebra system to confirm your result.

A:

Q: Compute the integral and show all the details of your work tan (3x)sec3(3x) dx %3D

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Show that arctan(Tx) – arctan(x) -dx In T. by first expressing the integral as an iterated integral.

A: To show

Q: 3. Calculate the indefinite integrals for the following functions as integrands (section 8.2): (a)…

A: Given: ∫tan2x sec3x dx Rewrite the integrand using tan2x=sec2x-1

Q: Find the integral. Show complete solution. sinx -dx 1+sinx 3.

A: NOTE: You posted multiple questions, we have given an answer to the first question, if there is a…

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: Given : ∫ex1 + exdx

Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)

Q: Use geometry to evaluate the definite integral. 22 x dx 22 -x dx = | (Type an integer or a…

A:

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using right endpoints with 4 rectangles;…

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Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

Q: 7. (x² - 2x + 3)dx 5²

A: SOLUTION-

Q: (1 point) Evaluate the indefinite integral: (In x)' dx +C

A: That's easy, just use substitution t=lnx and you are done.

Q: 4. Calculate the indefinite integrals for the following functions as integrands (section 8.3): 1 (a)…

A: See the details solution in below

Q: 36. /3+ x² dx In Exercises 19-50, use integration tables to evaluate the integral.

A:

Q: Use geometry (i.e., areas of triangles, rectangles, and circles) to find the exact values of each of…

A: Integration function and properties help to find the value of the given integral. The integration…

Q: In using the technique of integration by parts, you must carefully choose which expression is u. For…

A: We know that integration by parts is given by: ∫u.dv=u.v-∫v.du

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: The given integral is ∫cos7x dx Use a substitution method: u=sinxdu=cosdx

Q: intergral 5 tan^4x dx Integrate/find the indefinite integral

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Q: sinx cos

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

A: We have I=∫sec24x+9 dx                         ⋯⋯(1) Let   4x+9= t4dx=dtdx=dt4 put in equation (1)…

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: We have to find integration: ∫sec5 y tan y dy Rewriting the integral, ∫sec5 y tan y dy=∫sec4 y sec y…

Q: Evaluate the integrals ( sec5 3x tan 3x dx

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Q: Use the form of the definition of the integral given in Theorem 4, on page 380, to evaluate the…

A:

Q: 2-V1-x dx by interpreting the integral in terms of area. -

A: ∫-112-1-x2 dx On simplification, we get ∫-112-1-x2 dx=∫-112 dx-∫-111-x2 dx   →1 Now consider, ∫-112…

Q: In Exercises 1-10, indicate a good method for evaluating the integral (butdo not evaluate). Your…

A: Integral: ∫x2x+1dxLet us take a substitution,x+1=zdx=dz∫(z-1)2zdz

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: Given an indefinite integral, ∫x2lnxdx To solve the above integral.

Q: In Exercises 33–42, use properties of the integral and the formulas in the summary to calculate the…

A: Compute the value of the given integral as follows.

Q: (5) Solve the the definite integral (In(2))* dz indicating which integration techniques you are…

A: