207 Answered Questions for the topic integral

#### 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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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...
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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...
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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...
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Integral Integral Calculus

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

01/12/21

#### What is the integral of sec^2 (3x)/1+4tan^3 (x)

please help me with this, thank you so much

01/05/21

#### find the flux of the vector field

Let (S) the portion of the sphere " x2 +y2+z2=1 " that lies above xy-plane.Find the flux of the vector field:F = x i + y j + z k across (S)

#### help needed with calculus question

The graph of the continuous function g is shown above for −3≤x≤5 . The function g is twice differentiable except at x=1Graph:http://prnt.sc/wdcalqLet f be the function with f(1)=3 and...
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12/16/20

#### Finding the minimum of an integral

If 0≤b≤2, for what value of b is ∫0b cos(e^x) dx a minimum?

#### I need help with tangent lines

Given the equation of a curve: x^3/3+y^2/2−3x+2y=−1/6.does the line tangent to the curve at the point (1,1) have a slope of 2/3?Thanks

#### How can I solve this?

Consider the curve defined by y^2=x^3−3x+3 for x>0. At what value of x does the curve have a horizontal tangent?a) √3 / 3b) 1c) √3d) There is no such valueThank you

#### find the volume of the solid obtained by rotating the region in the first quadrant bounded by x=0, y=1, x=y^4 about the line y=10

I just need help with the answer

11/19/20

#### Evaluate the integral ∫10 e−x−exe−x+ex dx.

Evaluate the integral∫10e-x - ex / e-x + ex dx a)ln (2/ | e-1 + e | )b)ln ( | e-1 + e | / 2)c)ln (| e-1 - e | / 2 )d)ln (2/ | e-1 - e | )

11/19/20

#### Which expression should be set as u and what is the minimum number of applications of integration by parts that can be used to evaluate this integral?

Consider the integral ∫x2 ln(x) dx and the integration by parts method ∫udv=uv − ∫vdu + C. Which expression should be set as u and what is the minimum number of applications of integration by parts...
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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...
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