(3) Evaluate the following indefinite and definite integrals: (a) ſ(x³ +e* )dx (b) 1 |dx + XVx -1 2 (c) a /4 (d) (sint + cost)dt

Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x(In(x²))7

A: Let us assume that:

Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function

Q: Find the indefinite integral. (Use C for the constant of integration.) 4x(2x² + 3)6

A: Here we have to find the indefinite integral.

Q: Find the indefinite integral. x(x+5)dx |Vax + 5)dx=| (Use C as the arbitrary constant.)

A: Given integral

Q: 1 2 -5) dx x3

A:

Q: Evaluate the indefinite integral. (use C for the constant of integration.) x8 dx = (x° + 8)3 ... ...…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

A:

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: Q1- Express of the integral in term of Gamma function and simplify * x*e-2x dx. where possible

A: Use gamma function

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 8 + 4x dx 1 + x2

A: Given:

Q: Find the indefinite integral. (Use C for the constant of integration.) | (2 cos x + 9 sin x) dx

A:

Q: Find the indefinite integral using the substitution x = 8 sin(@). (Use C for the constant of…

A:

Q: valuate the indefinite integral given below. -1 (2æ) dx 20 tan 1+4x2

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos x dx (sin x)24

A: Given ,  the indefinite iintegral  I= ∫cosxsinx24 dx  Let sinx = z  cosx dx = dz  I =∫dzz24 I =…

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: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: Find the general indefinite integral. (Use C for the constant of integration.) 4x - 9/x dx

A: To find the indefinite integral: ∫4x3-9xxdx Solution: Evaluating the given integral.…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(T/xi) x12 dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | 2 sect() dx

A: Note : As per our guidelines we are supposed to answer only one question . Kindly repost other…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(7T/x15) х16 dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

A: Given, ∫cosxsinx20dx We have to evaluate the indefinite integral.

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

A: Given,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x/x45) dx x46

A:

Q: 13x? + 17 What is the indefinite integral of ) dx (2x+1)(x² + 4

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

A:

Q: Evaluate the definite integral definite integral at 2 at the top and 1 at the bottom (2x+2)…

A: Given: I=∫122x+2x2+2x-43dx for evaluating given integral, in given integral we substitute x2+2x-4=t…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.3 + 11x4.5) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration. to dx 1+x20

A: To evaluate

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) x* + x – 25 dx x2 + 5 1 3 -…

A:

Q: (-4 sec Xtanx-7sec K,

A:

Q: valuate the indefinite integral. (Use C for the consta | (In(x))14 dx

A: Given: ∫lnx14xdx

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2

A: To evaluate the given integral:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x)/sin^20(x)    dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 2e 1/x x2

A:

Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

A:

Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

A:

Q: valuate the definite integral: 4 x* — 2ух + 2 - -dx. x2

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 9x3.5) dx

A: Given, ∫ x1.8+9x3.5dx