176 Answered Questions for the topic integral

15d

#### 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.

15d

#### 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

16d

#### Math Integral grade 11

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 ...
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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

#### Please help with math question

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

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) =...
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#### 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.

#### 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...
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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. What is the volume of the vase?

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?Graph...
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03/22/21

#### estimate the area betweem the graph of f(x)=-x^2+5x and the x axis on the interval [1,5] using a left-hand sum with 4 rectangles of equl width.

estimate the area betweem the graph of f(x)=-x^2+5x and the x axis on the interval [1,5] using a left-hand sum with 4 rectangles of equl width.

03/20/21

#### What is the right hand riemann sum approximation

A function f is continuous on the closed interval [4,12] and differentiable on the open interval (4,12) and f has the values below. Using 4 subintervals, what is the right hand riemann sum...
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03/16/21

#### substitution integrals

#### What are the two tangent lines to the parabola y=x^2-6x+1 through the point (0,0).

What are the two tangent lines to the parabola y=x^2-6x+1 through the point (0,0).

#### WORK DETERMINED UTILIZING FORCE (INTEGRAL APPLICATION)

A chain 71 meters long whose mass is 26 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 14 meters of the chain to the...
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03/08/21

#### Use the Fundamental Theorem of Calculus to carry out the following differentiation:

Use the Fundamental Theorem of Calculus to carry out the following differentiation:d ∫1√x tt dt= ?dxintegral from 1 to sqrt x

03/08/21

#### If f(x) = integral 3 to x^2 t^4 dt, then f'(x) =?

f(x) = ∫3x^2 t4 dt, then what is f ' (x)= ?

02/23/21

#### Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -1.

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -1.

Integral Integral Calculus

02/20/21

#### Hi! Please help me to answer this integral, in detailed

It is a fraction so it goes something like thisIntegral of (e2x)(1-e4x)-1/2 all over (arcsin e2x)cos2(ln (arcsin e2x)) (dx on the middle of the fraction)Please provide me with a detailed step so I...
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