204 Answered Questions for the topic integral

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!!

25d

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

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.

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

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 ... more

04/07/21

*integral sign* (6w *square root* w) dw

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
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

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... more

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... more

substitution integrals

03/14/21

What's the integral of 1/sqrt(x^2 -4)?

Integral Math Tangent

03/09/21

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).
Integral Calculus Physics

03/08/21

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... more

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

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