445 Answered Questions for the topic integral calculus

Integral Calculus Math Calculus Mathematics

24d

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
Integral Calculus Math Calculus Mathematica

28d

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.)
Integral Calculus Math Calculus

05/16/22

The extension, y, of a material with an applied force, F, is given by y = e^(F x 1 x 10^(-3))(e is to the power of F x 1 x 10; 10 is to the power of -3 in that equation)

a)Calculate the work done if the force increases from 100N to 500N using:i) An analytical integration techniqueii) A numerical integration technique[Note: the work done is given by the area under... more
Integral Calculus Math Calculus Integral

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
Integral Calculus Algebra 2 Calculus Trigonometry

05/04/22

intergral test for convergence of the series

Use the integral test to establish the convergence of the series which is the sum from n=1 to infinity of the terms an=e-n
Integral Calculus Calculus Integral

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
Integral Calculus 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
Integral Calculus

04/23/22

Find the double integral of : -

Find the double Integral of ((x-y)^2)/(x^2+y^2)
Integral Calculus Math Calculus

04/22/22

Help! Evaluate the indefinite integrals using Substitution. (use 𝐶 for the constant of integration.)

Please help I am stumped with this problem.∫(28x+10)(7x2+5x+3)5 dx = ???
Integral Calculus

04/22/22

Integral Calculus

Find the area of the region bounded by the parabola y = x^2, the tangent line to the parabola at the point (2,4) and the x-axis
Integral Calculus Math Calculus Mathematics

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
Integral Calculus Math Calculus Integral

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
Integral Calculus 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
Integral Calculus Calculus Calc Integral

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
Integral Calculus Calculus

03/26/22

Calculus integration problem

Use implicit differention: find dy/dx if x^2 - 16xy +y^2 = 1 find dy/dx if cosy - sinx = siny - cosx find dy/dx if xsiny + ysinx = pi/2√2 at [pi/4, pi/4] find d^2y/dx^2 if x^2 + 4y^2 = 1
Integral Calculus Calculus

03/26/22

improper integral

Why is the integral from x=1 to x=3 of f(x)= 1/(x-2)2/3 improper?
Integral Calculus Math

03/14/22

Solving for range with Arc Length Integral

I encountered an interesting problem beyond my skill level, which is thisSOLVE FOR bL = ∫ab √(1+(2wx)2) dxIn which I need to solve for b, but I don't know how to do that yet.If anyone can help I'd... more
Integral Calculus Calculus Integral

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
Integral Calculus Calculus Integral

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
Integral Calculus Maths

03/05/22

Newton's law of cooling proposes that the rate of change of temperature is proportional to the temperature difference to the ambient (room) temperature.

(continuation of title) This can be modelled using the equation dT/dt=-k(T-T_a). This can also be written as dT/T-T_a=-k dt.WhereT=Temperature of materialT_a=Ambient (room) temperaturek =A cooling... more
Integral Calculus Math

02/21/22

Integrating exponential function beside e^x

I am doing a math assignement where I find the area of a country using functions. I used an exponential equation that was not a base of e. I was able to integrate it using a calculator, but I... more

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