Evaluate the integral L f(x)dx, where S(x) = {2- x', x<1 x>1 (Use symbolic notation and fractions where needed.) f(x) dx

Q: Evaluate the integral. (Use C for the constant of integration. x² 3/2 dx - 4x²)2 3 + 4x

A: We have∫x23+4x−4x232dx

Q: Evaluate the integral. (Use C for the constant of integration.) x5 dx

A:

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

A: We can solve the indefinite integration.

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

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√3 dx √3+2x-x²

A:

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

A: Given,             ∫x281 - x2dx

Q: Evaluate the integral. (Use C for the constant of integration.) x² + 9x + 1 dx (x² + 1)2

A: Make two parts of the integration.

Q: 3. Find the indefinite integrals. (a) /4 dx (b) /2* r 2x-x2 dx

A: Given two functions integrate it by use of formulae

Q: Evaluate the integral dx et – e-x

A:

Q: Evaluate the integrals: x² dx (x-1)(x²+2x+1) -dx 1. S 2. S x²+2x x4-3x²-4

A: Here we have to find the integral.

Q: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

A: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

Q: Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of…

A: Solve the given integral

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

A:

Q: 3. Find the indefinite integral. (Use C for the constant of integration.) Ssin(3x) cos(3x) dx

A:

Q: 1 x2 1. Calculate an approximate value of the integral , dx by dividing the 1+x3 interval into 4…

A: Given function is, ∫01x21+x3

Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

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

A: The integrand can be written as:…

Q: 1. Use residues to evaluate the integrals shown below sinx a) S- dx x+4x+5 -00

A: Note:- As per our guidelines, we'll answer the first part of this problem as exactly one is not…

Q: Evaluate the integral. (Use C for the constant of integration.) dx x2 + 25

A: SOLUTION-

Q: The improper integral e-3x dx 0. equals Refer: improper integral O 1 O 1/3

A:

Q: Evaluate the integral. (Use C for the constant of integration.) fu- (x – 3)sin(Tx) dx

A:

Q: Evaluate the improper integral e-1/x dx

A:

Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x²e&x3 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx cos(x) – 1

A:

Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

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

A:

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

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (ln(x))2 dx

A:

Q: 7 x2 Calculate an approximate value of the integral dx by dividing the 1+x interval into 8 equal…

A:

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

A: Let, u=x and dv=cos(6x)

Q: 5. Find the indefinite integral. A) f dx (x-3)Vx -6x+5

A:

Q: dx Using the substitution x =2 sin 0 , evaluate the integral x²V4-x 2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) e2x dx

A:

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

A:

Q: Evaluate the integral S-21 (x+2)(x-1)dx

A:

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

A:

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

A:

Q: 13. Find the integral using the u substitution method Jx(x+1)*dx

A: Solution of question as follow

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

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 36 dx v3

A:

Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

A:

Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.

A: LetI=∫-1x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

A:

Q: (2+ln² x) 2. S: -dx x(1-In x)

A: As per rules supposed to solve only one problem at a time so please post the remaining question as a…

Q: Evaluate the definite integral. integral 0 to 1  ( x divided by 1+2x2) dx

A:

Q: Evaluate the integral 1 dx x4 – x2 Note: Use an upper-case "C" for the constant of integration.

A:

Q: 3. Find the integral: L,x*dx

A:

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

A: