) = 31 + 3E, = 2E2 = 3, =4E, = 5| and A = 1| Find Ef(x) Ax! The sum in part (a) approximates a definite integral using rectangles. The Ef(x) Ax= D implify your answer.) Find the definite integral that is approximated by the sum in part a. dx

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: Solve the definite integral using usub

A: To integrate,

Q: 17) Calculate the indefinite integral S-5dx √4-16x² 16) Evaluate the definite integral Š - 0 3…

A: 16).17).

Q: Calculate the integral of y = 11 cos (8x) from 0 to Answer = Number Leave your answer in exact form…

A: on solving this we get the

Q: Find the indefinite integral by making the substitution x = 9sece. √ √x²-81 X dx Select one: O a.…

A:

Q: Solve for a in the triple integral. (Enter your answers as a comma-separated list. f3-a-y2 ↑4-x-y dz…

A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a  so integrate this and after  put…

Q: -3v3 dx V9+x?

A: Evaluate the intregal

Q: 13) Calculate definite integral. Give answer as a fraction in lowest terms (x2 – 2x-3 + 3)dx

A: We will use integration rules

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.