270 Answered Questions for the topic integral

06/05/22

Is it True or False??

The integral of (2x+1)dx from 3 to 4 is equal to (4²+4)-(3²+3).a. Trueb. False
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06/01/22

Calculus Homework Help
Determine whether the integral is convergent or divergent. ∞ e−1/x / x2 dx 3 If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
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05/27/22

Evaluate the definite integral using substitution rule.

Evaluate the definite integral using substitution rule.1.integrate √(2x + 1) dx from 0 to 42.integrate x/(√(x + 1)) dx from 0 to 153.integrate x*(1 - x) ^ 3 dx from 0 to 0.54.integrate x *√(x - 3)... more
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05/05/22

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
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Integral

05/04/22

what is the integral of 3 x squared?
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05/03/22

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
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Integral Math Calculus Volume

04/26/22

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
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04/19/22

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
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04/18/22

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
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Integral Math Calculus Limits

04/16/22

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
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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
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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
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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
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03/01/22

Find the general solution of r' + 2rtheta - r - 4theta + 2 = 0.
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03/01/22

Find the general solution of xy' + ( 1 + x )y - e^(-x) cos2x = 0.
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03/01/22

Determine ( ylny - e^(-xy) )dx + ( 1/y + xlny )dy = 0 is exact or not. If exact it, solve it.
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03/01/22

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.

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03/01/22

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.

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Integral Calculus

02/11/22

Use integration by parts to solve. Simplify final answer and write in factored form. integral cos(x) log(sin(x)) dx

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01/25/22

The area of ​​the lines y = x2 and y = m finite shape is 36. Find the value of the parameter m.
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01/24/22

The area of ​​the lines y = x2 and y = x finite shape is 36. Find the value of the parameter m.
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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.
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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
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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?
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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))?
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