1 -dx x(a + bx)

Q: Find the indefinite integral. (Use C for the constant of integration.) |(2x - 1)(6x2 - 6x + 1)/3 dx

A: Using method of substitution

Q: Find the Indefinite Integral. x (mcx*)°

A: ln(x4)=4ln(x)   (ln xa=a lnx)(ln(x4))5=(4ln(x))5=1024(ln(x))5 ∫ dxx(ln(x4))5=∫…

Q: Find the indefinite integral∫ ln √x / x dx

A: The given integral is

Q: Use integration by parts to find the indefinite integral.

A:

Q: integral by part x² dx

A: Given that  The integral is

Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

A:

Q: Use integration by parts to find the indefinite integral ∫x e1-x dx

A:

Q: |x| 1 dx -1

A:

Q: A definite integral Evaluate In x dx.

A:

Q: Evaluate the integral.  integral  sec 2 x  tan  3 x  dx

A: Consider the following integral:

Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: Calculate the indefinite integral x²sin(x)dx Show your calculations.

A:

Q: Find definite integral.

A: The given integral can be solved by the method of substitution. The substitution that will be used…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (7x2 + 5x-2) dx

A:

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

A:

Q: Find indefinite integral.

A: For an integral of the form ∫cf(x)dx where c is a constant the integral is equal to c∫f(x)dx. For…

Q: integral of (1/(1-x)^3)dx  from 1 to 3   and  integral of (1/(1-x)^3)dx  from 3 to infinity

A: The solution are next step ..

Q: Find the indefinite integral.

A: Consider the given indefinite integral: I=∫sinxcosxdx Here, the objective is to evaluate the value…

Q: Evaluate the indefinite integral  (integral) x ln(x2) dx

A: Explanation of the solution is given below...

Q: Evaluate the indefinite integral. x6 + 5 sec² X dx = %3D

A: From the given problem:   I=∫x6+5sec2xdx   As we know that:   ∫fx±gxdx=∫fxdx±∫gxdx   So,…

Q: Find the indefinite integral. ∫(x csc2 x) dx

A: Given: ∫xcosec2xdx for finding this integral we will use integral by parts method where, we will use…

Q: Find definite integral.

A: To find the definite integral: ∫153x-1+x-3dx Solution: Power rule of integration states that:…

Q: 9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

A: We have to find the integral

Q: Evalunte the Indefinite Integral by Integration by part |(x- 3)e" dx

A:

Q: integral from 0 to 1 of square root of (2x - x^2) dx

A: Given, ∫012x-x2dx  We have to evaluate it..

Q: Find the indefinite integral. x +8 -dx X +8 -dx (Use C as the arbitrary constant.)

A: Given,

Q: Integral of 8/e2x dx

A: Given integral:

Q: dx x²-x-2 ーズ

A: Given integral, ∫2x2-x-2dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) (5x2 + 6x-2) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

A:

Q: find the general indefinite integrals integral of pi sinx cos3x dx

A: Consider the given function as πsinxcos3x. We have to find the general indefinite integral of…

Q: Evaluate the indefinite integral et +1 dx et

A: Writing it into sum of two expansions then doing individual integration.

Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

A:

Q: Evaluate the indefinite integral dx: %3D

A: topic - indefinite integral

Q: dx 1/3 2/3

A:

Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

A:

Q: use a geometry formula to find the exact value of the definite integral.  5 dx on interval[-2,6]

A: Question is to find the exact value of the definite integral 5dx in the interval [-2 , 6 ]It is…

Q: Determine the value of the integral: integral sign:  (x^2)(e^-x^3)

A:

Q: evaluate the indefinite integral 3+ -dt. Use C for the constant of integration.

A: Given : ∫3 + 1t61t2dt

Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: Use a table of integrals to find the indefinite integral ∫x arccsc(x2 + 1) dx

A: Consider the given integration as ∫xcsc-1x2+1dx

Q: Find the indefinite integral. ∫sec x tan x/ (sec x − 1) dx

A: Given:∫secx tanxsecx-1 dx

Q: indefinite integral of x^2(sin(x)) dx.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (1 - e2x dx

A: We need to find the following indefinite integral.                ∫ex1-e2xdx

Q: Find the indefinite integral.

A:

Q: Use residues to find the indefinite integral f* dx- (16+x)2 2x2

A:

Q: 4, X^ 3^ dx

A: