3. Use the fundamental theorem of calculus to find the exact value of the definite integral. Show all of your work. No calculator, leave your answer in exact form. Use calculus techniques learned in this class. e* (1+e*)'

Q: (9x8 - 2x - 6) dx

A: The given integral is

Q: 8) Describe graphically, what Newton's Method is doing in order to estimate a root of a function,…

A: To Do: We have to describe graphically, what newton’s method is doing in order to estimate a root of…

Q: Evaluate ∫ 1/1 - x dx

A: The given integral is ∫11-xdx

Q: +x 2 1 dx X

A:

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

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.