Evaluate the line integral F.dr

Q: Use U-Substitution fo evaluate the integral,

A: Given

Q: Evaluate the indefinite integral ds= %3D

A:

Q: Evaluate the integral ∫xe−xdx.

A: Let,

Q: Using only the definition of RS-integral, evaluate .2

A: See below

Q: What is the Fundamental Theorem of line integrals?

A: Our Aim is to define Fundamental Theorem of line integrals

Q: Compute the integral dx.

A: As we know that ∫xmdx=xm+1m+1+C see below the answer and calculation

Q: Use Green's Theorem to evaluate the line integral

A:

Q: evaluate the integral of xe^(-x) show all work

A:

Q: show the line integral is independent of path

A:

Q: Evaluate the improper integral

A:

Q: Evaluate the integral using FTC I.

A: Our Aim is to integrate the following expression given below:-∫092 dx-(i)

Q: What change of variables is suggested by an integral containing Vx? + 36?

A: For, an integral containing  x2+36 we can change variable by substituting, x=6tanθ, As it will get…

Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

Q: Find the integral ∫(sec2ti+lntj)dt.

A:

Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: Evaluate the integral. HINT: [Use a shortcut.] 52x - 1 dx

A:

Q: Evaluate the iterated integral. (a)

A:

Q: Evaluate the integral (ez – 107) dr

A: Solve the following integral

Q: Find the Fourier Integral of f(x) = {

A: Solution

Q: Evaluate the integral or show that it is divergent.

A: Given: I=∫2∞dxxlnx                           ..1 for evaluating given integral, we substitute lnx=t…

Q: Evaluate the integral.

A: We have ∫exxdx.....1

Q: Evaluate the integral. Vx + 25 dx Jo

A: Given that: ∫05x2+25dx

Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

A:

Q: Write expressions for the area enclosed by a curve interms of line integrals around .

A: Green's theorem transforms the line integral around C into a double integral over the region inside…

Q: Evaluate the integral or state that it is divergent.

A: To evaluate the integral.

Q: Evaluate the integral or show that it is divergent.

A: The given integral is ∫1∞dx2x+13. Evaluate as follows.

Q: Evaluate the integral. [HINT: Use a shortcut.] 2 2-x + 1 dx

A: The integral is  ∫022-x+1dx

Q: Find the integral t5sin

A: let  I=∫t5sin(t6)dtsubstitutet6=udifferentiate6t5dt=duort5dt=16du

Q: Evaluate the integral. sec do %3D

A: According to guidelines we are supposed answer only first question if you want any particular…

Q: Evaluate the integral.

A: Definite integral: I=∫49(x+1x)2dx      (x+1x)2=x+2.x.1x+1x=x+2+1x

Q: Evaluate the integral of * dx Vx - Vx3

A:

Q: TRUE OR FALSE? The given line integral is independant of path.

A: The given line integral is ∫C2xz3+6ydx+6x-2yzdy+3x2z2-y2dz Compare the above line integral with…

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. | = 3xdx

A:

Q: -4x + e - dx e2x

A:

Q: Evaluate the integral. inegral  ax / (x2 - bx ) dx

A: Consider the given integration as I=∫axx2-bxdx⇒I=∫ax-bdx

Q: integral

A: Useful formula: ∫xndx = xn+1/(n+1) + c

Q: –6x-'dx

A: Follow the procedure given below.

Q: Evaluate the integral.

A:

Q: Evaluate the integral arcsin(x) d.x x²

A:

Q: substitution

A: We have to find value of the given definite integral according to the given information

Q: Find the integral of the Ponction fiyリ=

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: State the Fundamental Theorem for Line Integrals

A: To State: Fundamental Theorem for Line Integrals Here we will use the knowledge of fundamental…

Q: Evaluate the double integral. dA, D-

A:

Q: Evaluate the integral.  integral   csc x  dx

A:

Q: Use the substitution formula to evaluate the integral. the integral from 0 to pie/2…

A: To  Determine:Use the substitution formula to evaluate the integral. Given: we have an integral…

Q: Evaluate the integral.

A: Integral:∫2xxdxLet, x=z      12x dx=dz

Q: dx ト メ

A: Method of substitution is used

Q: colt)

A: