Use integration by parts to find the integral.  ∫ 3xln( x )dx

Q: Evaluate the integral. (Use C for the constant of integration.) 33 + 8x – x² dx

A: Given integral, ∫33+8x-x2 dx

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

A:

Q: Find the integral ∫dx / 1+coshx.

A: We write the function using ex

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A:

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

A:

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

A: Given,             ∫x281 - x2dx

Q: Apply Integration by parts and evaluate : x²e® dx 2 -x

A:

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A:

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given : ∫25x2dx

Q: Use integration by parts to find the integral. (Use C for the constant of integration.)

A: Consider the provided integral,

Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:…

A: A detailed solution is given below

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

A:

Q: Use the tabular method to find the indefinite integral. (Use C for the constant of integration.) |…

A: Tabular Method integration is a method of quickly integrating by parts many times in sequence. This…

Q: Find the integral. (Use C for the constant of integration.) (x8 + 9-X) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below

Q: Use a table of integrals to find the indefinite integral ∫ x /(1 − sec x2) dx

A: Given: ∫x1-secx2dx

Q: Evaluate the integral. x² + 9 dx

A: we have to evaluate  ∫03x2+9dx

Q: Evaluate the integral. (Use C for the constant of integration.) 75 – 10x – x² dx

A:

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given: Let I=∫09x2 dx To Find: To evaluate the given integration.

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 25x² +…

A:

Q: Use a table of integrals to find the indefinite integral ∫ 2 / x3√(x4 − 1)   dx

A: Use a table of integrals to find the indefinite integral ∫2x3x4-1

Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx

A: In this question, we need to find the integral of given function.

Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: Given: The integral,∫dx5x2-10x+20.

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)…

A: Given integral,      ∫7xe5x2dx

Q: Evaluate the integral. (Use C for the constant of integration.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Use the basic integration rules to find or evaluate the integral                     ∫100 /√(100 −…

A: Given that : The integral is ∫100100 - x2 dx .

Q: Use integration by parts to evaluate the integral / 3xei* dx. Use C for the constant of integration.

A:

Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.

Q: Use integration tables to find or evaluate the integral ∫ x /(x2 + 4x + 8)   dx .

A: Given, ∫xx2+4x+8dx We can write it as, ∫xx2+4x+8dx=∫xx+22+4dx Now by using the substitution u=x+2 we…

Q: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

A:

Q: Use integration by parts to find the integral. (Use C for the constant of integration.)

A: Given:

Q: Use a table of integrals to find the indefinite integral

A: ∫1x22+9x2dx Put, x=2tant3⇒dxdt=23sec2t⇒dx=23sec2t dt

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

A:

Q: Use the Table of Integrals toevaluate the integral

A: Given information: ∫12x2-3x2dx

Q: Evaluate the integral. (Use C for the constant of integration.) 7-6x - x² dx

A:

Q: Find or evaluate the Integral by completing the square. (Use C for the constant of Integration.) 10x…

A:

Q: In æ dx x2 Evaluate 2

A: Given that: ∫24lnxx2dx

Q: Evaluate the integral. (Use C for the constant of integration.) |(x* - 6x?3°x³ - 2x) dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: ヤ -3 x4 – 4x2 + 13 dx

A: SOLUTION-

Q: Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where…

A: we have been given the integral ∫dx5x3-8x2 simplifying the expression we get ∫dxx2(5x-8)

Q: Use integration by parts to find the indefinite integral ∫e2x sin 3x dx

A: Let  I=∫e2x sin 3x dxBy using the  Integrating by parts…

Q: Use the basic integration rules to find or evaluate the integral ∫x/ 3√(4 − x2) dx

A: The given integral is ∫x4-x23dx.

Q: Evaluate the integral. (Use C for the constant of integration.) dx 49 - x2

A: We have to find the integral

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given integral: Using properties:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 27 – 6x – x2 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 6x2 + 8x + 3) dx

A: ∫16x3-6x2+8x+3 dx