258 Answered Questions for the topic integral
Help! Evaluate the indefinite integrals using Substitution. (use 𝐶 for the constant of integration.)
∫(6-12x)(3x-3x2+3)6 dx= ?I'm stuck on this
The birth rate of a population is b(t) = 2400e0.021t people per year and the death rate is d(t)= 1490e0.015t people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round your answer... more
Help please: Find the volume of the solid obtained by rotating the region bounded by the curves
Find the volume of the solid obtained by rotating the region bounded by the curves: y=x4, y=1 about the line y=3
calculus integral question
Consider the integral:21∫ x^3 dx3-Use all three methods to approximate this integral with n = 3-Find the exact value of this integral
Evaluating integral help
Evaluate the integral. 4 f(x) dx −4 where f(x) = 2 if −4 ≤ x ≤ 0 4 − x2 if 0 < x ≤ 4
Riemann's Sum and Integrals Question
The value of the limit is equal to the area below the graph of a function f(x) on an interval [A,B]. Find f, A, and B. (Do not evaluate the limit). lim n --> ∞ ∑ni=1 (π)/(6n)tan[(iπ)/(18n)]I... more
How do I find the area bounded by a function?
Find the area bounded by f(x)=10-4x2 and the x-axis on the interval [1,2] by finding the limit of the upper and lower sums. Find the width Δx=(b-a)/n, the lower heights f(a+(b-a)(i-1)/n) the lower... more
Use two terms of a Maclaurin series to estimate this integral, and predict your error using the Alternating Series Estimation Theorem.
∫ x^2 * sin(x^2) dxUse two terms of a Maclaurin series to estimate this integral, and predict your error using the Alternating Series Estimation Theorem.Please include formulas so I can follow... more
Why doesn't substitution or integration by parts work for this integral?
Why doesn't integration by parts or u-substitution work for this integral?∫ x^2 * sin(x^2) dx
Find the general solution of r' + 2rtheta - r - 4theta + 2 = 0.
Find the general solution of xy' + ( 1 + x )y - e^(-x) cos2x = 0.
Determine ( ylny - e^(-xy) )dx + ( 1/y + xlny )dy = 0 is exact or not. If exact it, solve it.
Given, (2xy dx + dy) e^(x^2) = 0, with the initial condition y(0) = 2. If exact, solve it or if not, then by using the integrating factors solve it and find the particular solution.
Use integration by parts to solve. Simplify final answer and write in factored form. integral cos(x) log(sin(x)) dx
The area of the lines y = x2 and y = m finite shape is 36. Find the value of the parameter m.
The area of the lines y = x2 and y = x finite shape is 36. Find the value of the parameter m.
Use cylindrical coordinates to evaluate the triple integral
Use cylindrical coordinates to evaluate the triple integral ∫∫∫𝐄 sqrt(x^2+y^2) dV, where 𝐄 is the solid bounded by the circular paraboloid z=16 - 4 (x^2+y^2) and the xy-plane.
Use spherical coordinates to evaluate the triple integral
Use spherical coordinates to evaluate the triple integral ∫∫∫𝐄 x^2+y^2+z^2 dV, where 𝐄 is the ball: x^2+y^2+z^2≤25
Find the volume of the region bounded by
Find the volume of the region bounded by z=x^2, 0 ≤ x ≤ 4, and the planes y=0, y=6, and z=0.volume?
how many time i have to apply by parts
is there a way to know how many time should I apply by parts?as this example x^2.5 cosh(sqrt(x))?
Evaluate the integral by reversing the order of integration
1 1∫ ∫ sin(x^2) dxdy 0 y ? ?= ∫ ∫ sin(x^2) dydx ? ?
Find the indefinite integral for the following:(indefinite integral) (6)/(8e^x+4)dxThank you in advance
For each value of λ the function h(x, y) = x^2 + y^2 - λ(6x + 2y - 18) has a minimum value m(λ)
For each value of λ the function h(x, y) = x^2 + y^2 - λ(6x + 2y - 18) has a minimum value m(λ).a) Find m(λ)b) For which value of λ is m(λ) the largest, and what is that maximum value?c) Find the... more
Help with this homework
The differential equation dy/dx = cos(x + y)/cos(x − y) may be classified as : a. Homogeneous b. Exact c. Linear d. Exact and Homogeneous