258 Answered Questions for the topic integral

#### Mathematics Help

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
Integral Math Calculus Volume

20d

#### 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

27d

#### 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
Integral Math Calculus Limits

30d

#### 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

04/04/22

#### 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

03/13/22

#### 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

03/12/22

#### 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

12/07/21

#### 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.

12/07/21

#### 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

12/07/21

#### 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?

11/25/21

#### 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))?

11/20/21

#### Evaluate the integral by reversing the order of integration

1 1∫ ∫ sin(x^2) dxdy 0 y ? ?= ∫ ∫ sin(x^2) dydx ? ?

11/15/21

#### Indefinite integration

Find the indefinite integral for the following:(indefinite integral) (6)/(8e^x+4)dxThank you in advance

11/08/21

#### 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

10/15/21

#### 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

10/15/21