270 Answered Questions for the topic integral

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?
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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
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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
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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.
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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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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
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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.
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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
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03/16/21

substitution integrals

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03/14/21

What's the integral of 1/sqrt(x^2 -4)?
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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).
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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).
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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
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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
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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)= ?
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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.
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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... more
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02/16/21

Need help with math ASAP
Let f be the function defined by f(x)=4/(x^2).----------------------------------Approximate the value of 12(upper limit)∫1(lower limit) f(x) dx using a left Riemann sum with the... more
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02/15/21

What is the solution of this math?
∫4x / (x2+5)2 dx
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02/15/21

What is the solution of this math?
∫3x2+2 / √(3x2+4) dx
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02/07/21

Find the antiderivative F of f(x)=4−3(1+x^2)^−1 that satisfies F(1)=5.
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01/29/21

I need help with integrals
Let f be the function given by f(x)=sin^2(x/4)e^(−x2). It is known that (top value= π/2)∫(bottom value=0) f(x) dx= 0.0223. If a midpoint Riemann sum with two intervals of equal length is used to... more
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01/29/21

need help with math
x | 2 | 4 | 6 | 7 | 11-----------------------------------------------------------------------------------f(x) | 0.7 | 1.1 | 1.9 | 2.5 | 5.3The continuous function f is known to be... more
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01/18/21

The diagram shows the curve y=x^2 intersecting the straight line AC (y+x=6) at B. Find
The diagram shows the curve y=x^2 intersecting the straight line AC at B. Finda.     The coordinates of Bb.     The area of the shaded region Pc.     The area of the shaded region Q
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01/12/21

What is the integral of sec^2 (3x)/1+4tan (3x)
Please help me answer this, thank you!
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