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)
A 100 ft length of steel chain weighing 15 lb/ft is hanging from the top of a tall building. How much work is done in pulling all of the chain to the top of the building? keywords: integration, integrates, integrals, integrating, double, triple, multiple
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
Solve for "c" (3y^2+2xy)dx-(2xy+x^2)dy =0 I see that the equation is not exact. differentiate the 1st side by My and the second by Nx. which gives me My=6y+2x and Nx= 2y+2x I add these togeter and divide by the "N" term and come up with an integrating factor of x^4. This still doesn't make the equation exact.
What are situations where knowing the exact definite integral is important as opposed to just knowing the indefinite integral?
I need help with these various integral problems if i need to use integration by parts, some substitution, trigonometric substitution, or partial fraction on these problems please show full step by step solution. See attached file for full problem description.
(See attached file for full problem description with image) The graph below represents the function f(x) = x3 + 2x2 - 5x - 6. Explain how you process the calculation of the shaded region.
(See attached file for full problem description) integrate these problems: (make sure to show your work, don't just use math software)