448 Answered Questions for the topic integral calculus

Integral Calculus Math Calculus Physics

12/14/20

I don't understand this...................
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=7x^2+252. According to the model, for what size order is the cost per unit a minimum?A. An order of 1 unit has a... more
Follows • 2
Expert Answers •1
Integral Calculus

12/11/20

the diagram shows part of the curve y=3sin2x + 6sinx and its maximum point M. find the area of the shaded region
Follows • 2
Expert Answers •1
Integral Calculus Calculus

12/07/20

Steam Engine Work
In a steam engine the pressure + volume of steam equal the equation PV1.4 = k. Calculate the work done by the engine during a cycle when the steam starts at a pressure of 120 lb/in^22 and a volume... more
Follows • 1
Expert Answers •1
Integral Calculus Calculus Derivative

12/06/20

I need step by step help to find the derivative of a problem, using FTC part 1 please.
g(x) =∫xx^2 (2t2 + 3) dt
Follows • 2
Expert Answers •1
Integral Calculus Math Calculus

12/01/20

Let f (x) = cos x − sin x for 0 ≤ x ≤ 𝜋/2. Find the area A of the region between the graph of f and the x-axis on the given interval
(Hint: Where is f (x) > 0 and where is f (x) < 0?)
Follows • 1
Expert Answers •1
Integral Calculus Math Calculus

12/01/20

Let f(x)=1/x and g(x)=1/x^2 Find the area A of the region between the graphs of f and g on the interval [1/2, 16].

I set the two equations together and got x=1 and then I set the integral from 1/2 to 16 and solved and I got 1.528... but I am wrong. How would I solve this equation?
Follows • 1
Expert Answers •3
Integral Calculus

11/24/20

Substitution Integral Question
Use the substitutions tan(x/2) = tdx = 2/(1+t2)and evaluate∫1/(3-5sin(x))dx
Follows • 1
Expert Answers •1
Integral Calculus Math Calculus

11/21/20

Evaluate the Riemann sum

If f(x) = 4x2 − 5x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints.
Follows • 1
Expert Answers •1
Integral Calculus

11/19/20

If f is continuous for all c, which of the following integrals necessarily have the same value?
I. ∫ab f(x)dxII. ∫0b-a f(x+a)dxIII. ∫a+cb+c f(x+c)dxA) I and II onlyB) I and III onlyC) II and III onlyD) I, II, and III onlyE) No two necessarily have the same value
Follows • 2
Expert Answers •1
Integral Calculus

11/18/20

Let f be a continuous function on the closed interval [0,2]. If 2≤ f(x)≤ 4, then the greatest possible value of : ∫(0 to 2) f(x)dx is:
A) 0B) 2C) 4D) 8E) 16
Follows • 1
Expert Answers •1
Integral Calculus Math Calculus Probability

11/18/20

What is the value of C so that the following function is a probability density function? f(x)=Cx^9.5 --> see description
f(x)=Cx9.5 if 0≤x≤2, 0 otherwise
Follows • 1
Expert Answers •2
Integral Calculus Math Calculus Integral

11/17/20

How do I integrate 1000e^-.0415t - 250te^-.0415tdt?
1000e-.0415t-250te-.0415tdt
Follows • 1
Expert Answers •1
Integral Calculus Calculus Integral

11/06/20

Honey is poured into a glass jar at a rate of r(t)=4e^(-0.35t) ounces per minute, where t is measured in minutes and 0≤t≤5. If there is 3 ounces of honey in the jar at time t=0, how much honey is in t
Honey is poured into a glass jar at a rate of r(t)=4e-0.35t ounces per minute, where t is measured in minutes and 0≤t≤5. If there is 3 ounces of honey in the jar at time , how much honey is in the... more
Follows • 1
Expert Answers •1
Integral Calculus Calculus Integral

11/06/20

It can be shown that ∑_(i=1)^n i^3 =(n^2 (n+1)^2)/4. Use this fact along with the limit of Riemann sums (∑_(i=1)^n f(xi

It can be shown that ∑ni=1 i3=(n2 (n+1)2)/4. Use this fact along with the limit of Riemann sums (∑ni=1 f(xi* )∆xi ) using a regular partition of the interval [0,b] (b>0) and the right endpoints... more
Follows • 1
Expert Answers •1
Integral Calculus Integral

11/04/20

integrate the following question

integrate the following question :∫ (ey - y e-y ) dyPlease write the answer with explanation steps
Follows • 1
Expert Answers •1
Integral Calculus Calculus

10/17/20

(Arc length and surface area) Rotate the graph of 𝑔(𝑥)=𝑒^(−9𝑥) on the interval [0,7] about the x-axis to generate a surface with x square units.
Follows • 1
Expert Answers •1
Integral Calculus Calculus

10/16/20

(Arc Length and Surface Area) Compute the surface area of revolution of 𝑦=(4−𝑥^(2/3))^(3/2) about the x-axis over the interval [3,8].
Follows • 1
Expert Answers •1
Integral Calculus Calculus

10/09/20

Find the volume of the solid obtained by rotating the region enclosed by the curves y = 15-x, y = 3x+11 and x = -1 about the x-axis.
Follows • 1
Expert Answers •1
Integral Calculus Calculus

10/09/20

Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=18−x, y=3x−6 and x=0 about the y-axis.
Follows • 1
Expert Answers •1
Integral Calculus Calculus

10/09/20

Find the volume of the solid obtained by rotating the region enclosed by the curves x = 1, x = 6, y = (1^4−x^4), y = 0 about the y- axis.
Follows • 1
Expert Answers •1
Integral Calculus

10/06/20

calculate the double integral (x^2+y^2)dxdy in the circle x^2+y^2=2x
convert it to polar rdrd0. and then solve. the circle is at (1,0) not the origin.
Follows • 0
Expert Answers •2
Integral Calculus

10/01/20

Using Greens Theorem
Use Greens theorem to evaluate ∫ F • dr along the given positively oriented curve C where:C F= (xy − 4 ye2x )i + ( y2 − 2e2x )j and C is the boundary of the region in the first... more
Follows • 1
Expert Answers •1
Integral Calculus Math Calculus Maths

09/22/20

Calculus 2 MacLaurin Series
Let F(x) = ∫ (from 0 to x) e-3t^4 dtFind the MacLaurin polynomial of degree 5 for F(x).
Follows • 1
Expert Answers •1
Integral Calculus Math Calculus Maths

09/21/20

Calculus 2 Series
Find the sum of the series ∞ ∑ (-1)n [(x15n)÷(n!)]n=0It will be a function of the variable x
Follows • 1
Expert Answers •1
Integral Calculus

09/21/20

Surface Integral
Evaluate the surface integral ∫ ∫ yzdS , s where S is the part of the half-cylinder x2 + y2 = 9, y ≥ 0 , that lies between the planes z = 0, and x + z = 5 .
Follows • 1
Expert Answers •1

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.