(1) S xe^xdx (2) S xsinxdx (3) S lnxdx (4) S (e^x)cosxdx
(See attached file for full problem description) Find the definite integral __ ∫-18 3√x dx Note - The 8 is supposed to be directly over the -1.
(See attached file for full problem description) Water will be added to the city's reservoir tonight for a 4 hour period. The rate at which the water is added depends on the time and is given by the function dw/dt = 1000 + 100t 0 <= t <= 4 Where w is the volume in gallons and t is the time in hours. Determine the
Find the exact area under the curve y = x2 + 3 from x = 1 to x = 4.
Find the value of the integral - 6 ∫ x dx 4 Note - The 6 is supposed to be directly over the 4.
9 ∫6/x dx 4
Find the definite integral: ∫(3 + x^2)dx from x = 0 to x = 1.
Antidifferentiation ∫(e^x -6) dx
Please solve for the following integral and show all of the work which is required. Integral (2 to -2) 4^((x)/(2)) dx
∫(2^sinx) cos x dx
Dy/dx + 3x^2y = x^2 y(0) = 2
Numerical Integration, Trapezium Rule, Error bound formula Initial Value Problem, Runge-Kutta Method
It is required to use the Trapezium's rule to evaluate the integral of sin(x)^2 from 0 to pi/2 to four decimal place accuracy. Use the error bound formula to recommend the number of panels n. Find the Trapezium rule approximation of the integral with n=2 and compare with the exact value. Does this result contradict your part
Evaluate the definite integral, use a graphing utility to show your results: (see equation in attached file)
∫ e^(1/x^2)/(x^3) dx
∫ 3/x dx
∫ 3x^2 + 6x dx
Solve - ∫e^4x dx
Perform the antidifferentiation ∫7 dx
Vector Functions : Stokes' Theorem, Divergence (Cylindrical and Spherical Coordinates) and Integration using the Delta Function
Please see the attached file for the fully formatted problems. keywords: stokes, stoke's
Problem: The region R is bounded by the graphs of x - 2y = 3 and x = y2. Find the integral that gives the volume of the solid obtained by rotating R around the line x = -1. I'm having a hard time setting up the integral, I think that I have the concept for finding the area of a 2d object using an integral but can't figure out
Problem: Approximate the integral by a) first applying Simpson's Rule and b) then applying the trapezoidal rule. Please see the attached file for the fully formatted problems.
(See attached file for full problem description with proper symbols) --- Answers and working for Integration questions: 1.Integrate the following functions with respect to . (i) sin(5 - 4) (ii) cos(3 - 2) 2. Integrate the following functions with respect to x. (i) 4e-3x (ii) (
Find an upper and lower bound for the integral using the comparison properties of integrals. My Work. (I'm pretty sure I've made an Error) Integral lies between 0.5 and 1.0 (this is wrong though since it's .40)
∞ ∫1/(1+e^t) dt x keywords: finding, evaluating
Newton discovered that the falling acceleration of all objects in a vacuum, regardless of their sizes and weights, is the same. A raindrop falls down to earth with the same acceleration as a big metal ball drops from the edge of a building. He came up with the value of 9.8 meters per square second (s2) for the falling accelerati
Please see the attached file for the fully formatted problems.
Note: x is used as a letter only not as a multiply sign 1. Find the volume of the solid generated by revolving the region enclosed by y= x^(1/2), y=0, x=4 about the line x=6. 2. Find the arc length of the graph of the function y = x^(3/2) - 1 over the interval [0,4] 3. Integrate ∫ [(Pi / 2) / 0] x cos x dx
1. Find the equation of the tangent line in Cartesian coordinates of the curve given in polor coordinates by r = 3 - 2 cos Ø, at Ø= (π / 3) 2.Test for convergence or divergence, absolute or conditional. If the series converges and it is possible to find the sum, then do so. a) ∑[∞/n=1] (3/ 2^n)