consider the integral below. 5 | /49 - (x- 5)? dx -2 Vrite your answers to the following questions in the text box to the right. Be sure to label your work Elearly as (a) or (b). a) Explain in your own words how you would calculate this integral without using Riemann sums or the undamental theorem of calculus. Be as specific as possible. Ex) = /49 - (x- 5)2. b) Find the exact value of the integral.

Q: can you give steps on how to do a "Definite Integral of a Root (or Fractional Exponent)"

A:

Q: So 2"dx.

A:

Q: [3x² csc²(x)dx

A:

Q: n the following exercise, use a change of variables to evaluate the definite integral. =dx ,V1 +x²…

A: Solution:

Q: Describe how to evaluate a definite integral.  Include one example in your description.

A: The Definite integral,

Q: Evaluate integral

A:

Q: Evaluate the îndefinite integrals Scsin'xsinx)

A: we integration of given function.see 2nd step.

Q: 2. A cup of coffee is poured from a pot that maintains a constant temperature. The fresh coffee is…

A:

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.