Double Integral : Integrating with respect to two variables.
Please see the attached file for the fully formatted problem.
Please see the attached file for the fully formatted problem.
Test for convergence or divergence, absolute or conditional of a summation. Sigma infinite over and n=1 under times 2n+1/n^2+2.
Please see the attached file for the fully formatted problem. Construct the quickest method to calculate the Laplace Integral. I = S e^(-x^2) dx infinity --> infinity
Questions on integration, see attachment.
Please see the attached file for the fully formatted problems.
Questions on integration. Please see the attached file for the fully formatted problems.
Use the integral test to determine the convergence or divergence of the series: En=1 2 / (3n + 5)
Integral x-1, divided by x to the 3rd + x squared to dx. x-1 ----- X to the 3rd + X to the 2nd ( all dx)
For problem #1, its the integral from o to infinity (the symbol for infinity for that problem was cut off)
I'm taking a DE calculus class and I'm having problems figuring out the logic in solving some of the problems. The given integral is improper because both the interval of integration is unbounded and the integrand is unbounded near zero. Investigate its convergence by expressing it a sum of two intergrands-one from 0 to 1 an
Evaluate the double integral Transform the double integral of (i) using plane polar coordinates Show that the 3 x 3 determinant See attached file:
Given ist the following cost function: k(x)=x^3-9x^2+29x+35 x= quantity k= cost Question 1: At what quantity is the minimum of the marginal cost? Question 2: What is the increase of cost if the production is increased from 3 to 4 (integral)?
Please see the attached file for the fully formatted problems. Evaluate the following integrals. S (4x^3 -2x - (2/x^3) dx S (1/2x^1/2) dx 1-->0 S ln x dx
Integrate {cos(x)cos(3x)cos(5x),x}
NOTE: We are supposed to find the fluid force using integrals. I have attached a word document with the fluid force formula we are supposed to use. Please use the US system of measurement (i.e. pounds) Now here is the problem: A vertcial gate in a dam has the shape of an isoceles trapezoid. The top of the gate measures 10
The steps for integrating sin or cos to an even power greater than 2 are shown using the example Ssin^4(x)dx.
The steps for integrating sec^3(x) are shown with explanations.
The steps for integrating an ln standing alone are shown using the example Slnxdx. The same procedure can also be used for integrals of lns that can be simplified using the properties of logs such as ln3x, ln(x^2) or ln(square root of x), or if the entire ln is raised to a power.
I am trying to integrate e to a variable power times sin or cos using integration by parts, but I seem to be going in circles. How is this problem solved? The trick for solving e times sin or cos is shown using the example Se^x*sinxdx.
The steps of U substitution are explained using the example of the integral of the square root of 4x+1.
The steps of U substitution are explained using the example S(3x)/(5x^2-2).
How do I integrate cos^2(x)? Please help me with this and include explanations so I can understand it.
The steps for integrating sin^2(x) are shown with explanations of each step.
U substitution is explained using the example S4x(x^2+1)^5dx without and with limits of integration.
Solve the initial value problem: d²y/dx²= sec²x y(0)=0 and y'(0)=1
I have no idea how to start this problem. dN/dt + N = Nte^t+2 So far I have, dN/dt = Nte^t+2 - N where do I go from there.
(a)Find the integral between 0 and infinity e^-st. sinat dt (b)Let f:[0,1] --> R be the function f(x) = { x when x is an element of rational numbers {-x when x is not an element of rational numbers Prove in detail that f is not integrable on [0,1] but |f| is integrable
(a) Find the integral between o and infinity (upper)of e^-x^2 dx . Use the above to prove that T(/2)= sqare root of pi where T represents the gamma function (b) Find the integral of x^3.e^-x^2 dx between the boundaries 0 and infinity (upper)
(a) let f:[0,1] ---R be the function f(x) = { x when x is an element of rational numbers {-x when x is not an element of rational numbers Prove that f is not integrable on [0,1] but |f| is integrable (b) Find the limit as x goes to 0 of 1/x the integral of e^t^2 dt between the boundaries 0 and x, x bei
(a)Let f:[a,b] ---R be continuous and f(x)>= 0 for all x an element of [a,b]. prove that if the integral between the boundaries b and a of f(x) dx =0 then f(x) =0 for all x an element of [a,b] (b)Prove that the integral between infinity and 0 of e^-st .sinat dt = a/s^2 + a^2