Evaluate the following integral or state that it diverges. 00 - 2x dx 4е 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 00 O A. The integral converges to | -2x dx = 4 e (Type an exact answer.) 1

Q: Find the Fourier Sine Series for the following periodic functions f(x) = x 0<x<π f(x) = x 0<x< 1

A: Let a function f(x) is defined over an interval (0,L). Then its Fourier Sine Series expansion is…

Q: Evaluate the indefinite integral. (Hint: Expand the binomial.) 2 = xp

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: According to the given information, it is required to check whether the given integral is convergent…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: If the limit exists and is a finite number then we say that the integral Converges.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: We have to find

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: The given improper integral is ∫1.4∞e-1.4xdx. If the value of the integral exist, then the integral…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given query is to fin integral convergent or divergent.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.