(b) Evaluate the integral | xe * dx. (1- x)?

Q: _x – 1 dx |2x – x²

A:

Q: Evaluate the integral. inegral  0 to 1 [(2x+3)/(x+1)2 ]dx

A:

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

A:

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: Evaluate the integral.  integral x2  sqrt (x+1)  dx

A:

Q: Evaluate the integral ∫dx/ x√x4 - 1

A: We have given the integral;

Q: Evaluate the integral. inegral  0 to 1    [ (x-4) / ( x2  - 5 x +6 )] dx

A:

Q: Evaluate the integral ∫dx / x2(x+1).

A:

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

A: To evaluate the definite integral from suitable geometric formula , (without using integration)

Q: Evaluate the integral. integral    (  x2 + 1 )/ (x-3) (x-2) 3 dx

A:

Q: Calculate the integral: x²e=* dx

A: Given : ∫04x2e-xdx

Q: g integral. dx

A: Given query is to find the value of the integral.

Q: What is the integral of x2(2-x)^(1/3) dx on the interval [1,2]?

A:

Q: dx (x-1)/x²+3

A: From the given problem:   I=∫dxx-1x2+3 ...(1)   Now substitute in equation(1).…

Q: Show that (In kx) dx (In x), where x > 0 and k is a positive dx real number.

A: ddxln kx=ddxln x, where x>0 & k is a positive real number.

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

A:

Q: Evaluate the integral of x sin x² dx from x = 0 to x = VT.

A: Given,         The integral of xsinx2dx from x=0 to x=π .

Q: Evaluate the integral. inegral  0 to 1 [(x 3 -4x -10 )/(x 2 -x-6 ) ]dx

A: Consider the following definite integral:…

Q: Evaluate the improper integral 1 dx x - 1

A:

Q: Consider the indefinite integral 4 dx

A: Given,           ∫44+exdx

Q: -1 tan 2y dy

A:

Q: Evaluate the integral.

A: Given: ∫ex1-e2xdx

Q: Evaluate the integral. S-x cos(3x) dx

A: Use integration by parts method

Q: Ssin*(x)cos²(x)dx

A:

Q: Evaluate the integral. inegral x4 /(x-1) dx

A: Given: ∫x4x-1dx

Q: Evaluate the integral 1 -dx. 2Va(x + 1)

A:

Q: Find the integral of- :(e*-1) dx. (ex+1)

A: Simplification of the given function helps to find the required integral. Substitution of the…

Q: Evaluate the integral.  integral x2 /sqrt (x+1)  dx

A: Given I=∫x21+xdx

Q: Evaluate the integral.  integral  (1- sinx )/ cos x  dx

A: ∫1-sinxcosx dx

Q: dx -x - e

A:

Q: Estimate the value of integral 3 to 1 dx/x

A: Given,  ∫131xdx

Q: Evaluate the indefinite integral. 3x -dx x2 + 1 + C

A:

Q: Evaluate integral of interval ln 8, 0 of ex d x

A: We have to evaluate

Q: Find the integral of f(x³ + 1) Inx dx

A: Given :∫x3+1lnx dx

Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

A:

Q: Consider the indefinite integral dx: + 8)°

A: Given,  ∫ x5x6+86dx

Q: Find the integral 15 x+3 √1-x² dx

A:

Q: Evaluate if the integral converges 1. 1. dx (x-1)7 , sin x dx 3. dx 2.

A:

Q: dx (4 + x²)²

A:

Q: Evaluate the integral. Integral of [(x-6) / (x2 − 6x + 8)]] dx from the interval 0 to 1.

A: Given

Q: Evaluate the integral. ∫x  Cos2 x dx

A: Given- ∫xcos2x dx To Find- The value of the above integral. Identity Used- cos2x=1+cos2x2

Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-I=1[cos(x)-1]dx     -(i)

Q: Find the indefinite integral -dx (2-x ²)? dx = 2-x)?

A: To find the indefinite integral:∫x2-x22dx

Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: Evaluate the indefinite integral dx x(x²+2x+1)

A:

Q: Evaluate the integral - dx · 1- sin x cos X

A: The given integral,       ∫cos x1-sinxdx

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

A: We have to find the exact value of the definite integral (-2x+4) dx on the interval [3/2,1/2]As a…

Q: Evaluate the integral: x2 dx V1 - x6

A: Given integral is: ∫x21-x6.dx

Q: Evaluate the integral. (Use C for the constant of integration.) | (x – 3)sin(xx) dx

A: The given integral:∫x-3sinπxdxWe need to evaluate the above integral.We will use integral by parts…

Q: et * e-t Compute the convolution integral.

A: