263 Answered Questions for the topic integral

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

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?

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] = ?

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 =

05/24/21

#### Evaluate the integral (step by step process)

∫x4+X2+4/ x6+4x4+4x2 dx

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)=

05/23/21

#### Integrals Problem

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

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

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!!

05/20/21

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

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.
Integral Calculus

04/30/21

#### Find the area enclosed by the given curves

y = 8 cos(𝜋x),    y = 8x2 − 2

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.

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?
Integral Math

04/29/21

Please help answer question 3 with steps, much appreciated!3 . A curve is such that dx/dx = 6/x^2 - 5x and the point (3,5.5) lies on the curve. Find the equation of the curve.

04/14/21

#### Evaluate the integral using the indicated trigonometric substitution.

∫5x^3(sqrt(9−x^2))dx and x =3sin(θ)

04/12/21

#### I need some help with math

For 0 ≤ t ≤ 12 , a roller coaster car has position (x(t),y(t)) with velocity vector ⟨10, −tsin(πt/4)⟩ , where x(t) and y(t) are measured in meters and t is measured in seconds. At time ... more

03/29/21

#### Hi, I need help with math

What is the slope of the line tangent to the polar curve r=4θ^2 at the point where θ=pi/4a) pi/2b) pi^2/4c) 8+pi/8-pid) something else?

03/28/21

A curve is defined by parametric functions x(t) and y(t), where dx/dt = 3t^2 and dy/dt = t^7-2t^4. For what positive value of t is d^2y/dx^2 = 1?a) 1.202b) 1.149c) 1.079d) 1.525
Integral Calculus Derivative

03/28/21

#### AP CALC AB: Interpretations & Applications of the Derivative & Definite Integral

How would you solve for a) & b) with a calculator?I have a TI-89 Titanium.At time t=0, a tank contains 38 gallons of water. Beginning at t=0, water flows into the tank at a rate of E(t) =... more
Integral Math Calculus Maths

03/28/21

#### Integral logarithmic calculus math help.

Pls find ∫x(2+x)logx2dx I dont know how to do calculus of a logs base, here x is the base of the log.
Integral Math Calculus

03/27/21

#### Using her lathe, a woodworker creates a wooden vase that is 15cm tall, with a side profile that can be described with the equation y=5 + 0.1e^0.2x

Using her lathe, a woodworker creates a wooden vase that is 15cm tall, with a side profile that can be described with the equation y=5 + 0.1e^0.2x What is the volume of the vase?Note from... more

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