448 Answered Questions for the topic integral calculus

Integral Calculus Integral

06/04/21

Doing the integral of a* (x^2) * e^-bx
Hi, I’m having trouble at doing the integral of a*x^2 * e^-bx. In fact I don’t know how to change the e^-bx to have an answer which , with the definite integral from zero to + infinite, give me a... more
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Integral Calculus Math Integral

06/02/21

Integrals Problem
Find ∫05 f(x)dx iff(x)={3 for x<3 {x for x≥3.
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Integral Calculus Math Calculus Sat Math

06/02/21

Integrals Problem
∫410 f(x)dx − ∫49f (x)dx = ∫ab f(x)dxwhere a= and b=
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Integral Calculus Math Calculus Sat Math

06/02/21

Integrals Problem

Given that 7≤f(x)≤10 for 1≤x≤4, estimate the value of ∫14 f(x)dx ....... ≤ ∫14 f(x)dx ≤ ......
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Integral Calculus Math Calculus Sat Math

06/02/21

Integrals Problem

Let y=∫1cos(x) (−9t+10sin(t))dt. Use the Fundamental Theorem of Calculus to find y′.y′=
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Integral Calculus Math Calculus Sat Math

05/25/21

Integrals Problem
The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x^2 (in dollars per yard). Find the increase in cost if the production level is raised from 1500 to 9500... more
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Integral Calculus Math Calculus Sat Math

05/25/21

Integrals Problem

A factory produces bicycles at a rate of 95+0.1t^2 −1.1t bicycles per week (t in weeks). How many bicycles were produced from day 15 to 28?
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Integral Calculus Math Calculus Sat Math

05/25/21

Integrals Problem

The interval [0,4] is partitioned into n equal subintervals, and a number xi is arbitrarily chosen in the i^th subinterval for each i. Then:lim (n→∞) n ∑ i=1 [(2xi+3)/n] = ?
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Integral Calculus Math Calculus Sat Math

05/25/21

Integrals Problem

Estimate the area under the graph of f(x)=(x^2)+3x from x=5 to x=8 using 3 approximating rectangles and left endpoints.Approximation =
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Integral Calculus

05/25/21

What is the integral of k^2. dk^3
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Integral Calculus Math Integral

05/24/21

Evaluate the integral (step by step process)
∫x4+X2+4/ x6+4x4+4x2 dx
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Integral Calculus Math Calculus Sat Math

05/23/21

Integrals Problem

 Consider the function f(x)=(9)/(x^(2))-(7)/(x^(7)) . Let  F(x) be the antiderivative of f(x) with F(1)=0.Then F(x)=
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Integral Calculus Math Calculus Sat Math

05/23/21

Integrals Problem

Suppose f''(x)= -25sin(5x) and f'(0)=-5 and f(0)=6f(pi/4)=
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Integral Calculus Integral College Math

05/23/21

Frustrating Integral, help
the integral of (x^4 + X^2 + 4) over (x^6 +4x^4 + 4x^2) then dx on the middle of the fractioni got stuck after the partial fraction decomposition
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Integral Calculus Math Calculus Integral

05/22/21

Step by step of evaluating the integral.
Evaluate the integral (x4+X2+4 all over x6+4x4+4x2) dx.Evaluate the integral cosh-1 x dx.Help please!!
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Integral Calculus Integral

05/20/21

Hello, please help me with my intergral
So the equation goes something like this, it is a fractionthe integral of (x^4 + X^2 + 4) over (x^6 +4x^4 + 4x^2) then dx on the middle of the fractionPlease show me how to solve it and provide me... more
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Integral Calculus

05/20/21

Hi, please help me with this integral equation
So the equation goes something like thisthe integral of (cosh^-1)x dxPlease help me with it and provide me some explanation so I cannot understand it and apply it some other time. Thank you so... more
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Integral Calculus Math Calculus Mathematics

05/15/21

Pls slove the math
Find the surface area of the region under the curve (x/a)2/3 + (y/a)2/3 =1 by revolving about x-axis.
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Integral Calculus Calculus

04/30/21

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = 3 + sec(x) , x is greater than or equal to -pi/3 and less than or equal to... more
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Integral Calculus Calculus Integral

04/30/21

Applications of Integration
How would you prove the volume of a cone equation by rotating the line about the x-axis if you have (h,r) and (h,0)? Start by finding the equation of the line.
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Integral Calculus

04/30/21

Work required to pump
A water tank has the shape of an upright cylinder with radius 𝑟 = 1 meter and height 10meters. If the depth of the water is 5 meters, how much work is required to pump all thewater out the top of... more
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Integral Calculus Calculus Mathematics Integral

04/30/21

Calculus, Applications of Integration
How would you find the volume of the solid of revolution formed when the curve 𝑦=(√sin𝑥) between 𝑥=0 and 𝑥=𝜋 is revolved about the 𝑥-axis?
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Integral Calculus Calculus Precalculus

04/29/21

Graph the function and then compute the integral using area.
5∫ 4x dx2
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Integral Calculus

04/29/21

Finding The Arc Length
Find the length of arc of r= asin θ +b cos θ
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Integral Calculus Mathematics

04/20/21

Solve integration
Solve ∫(√𝑎 - √𝑥)2 𝑑𝑥, 𝑎 is a constant.
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