270 Answered Questions for the topic integral

01/12/21

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

please help me with this, thank you so much

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)
Integral Math Calculus Algebra

12/31/20

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... more

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?
Integral Math Calculus Physics

12/15/20

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
Integral Math Calculus Physics

12/14/20

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

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... more

11/17/20

How do I integrate 1000e^-.0415t - 250te^-.0415tdt?

1000e-.0415t-250te-.0415tdt

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... more

11/06/20

It can be shown that ∑_(i=1)^n i^3 =(n^2 (n+1)^2)/4. Use this fact along with the limit of Riemann sums (∑_(i=1)^n f(xi

It can be shown that ∑ni=1 i3=(n2 (n+1)2)/4. Use this fact along with the limit of Riemann sums (∑ni=1 f(xi* )∆xi ) using a regular partition of the interval [0,b] (b>0) and the right endpoints... more

11/04/20

integrate the following question

integrate the following question :∫ (ey - y e-y ) dyPlease write the answer with explanation steps
Integral Calculus

11/02/20

Find the range of the function integral calculus bc

Find the range of the function  . (5 points)answer choices [0, 4π] [0, π] [-4, 0] [0, 4]
Integral Calculus

10/30/20

CALCULUS INTEGRAL NEED HELP ASAP PLEASE THANK YOU!

The formula for the arc length from a to b of a differentiable function is . Find the length of the curve f(x) from x = 0.5 to x = 1. Your work must show the integral, but you may use your... more
Integral Math Calculus Algebra

10/20/20

Help me please The length, width and height of a small box are three consecutive integers, where the width

The length, width and height of a small box are three consecutive integers, where the width isthe least and the length is the greatest integer. If the width is doubled, and the length andheight are... more

10/13/20

how to use the comparison test to find p

Use the Comparison Test to determine for what values of p the integral 2 to infinity of 1 all over x raised to p times the ln(x) dx converges.
Integral Math Geometry

09/30/20

Geometry integration? Need step by step help

The bottom of the storage basket is a square with a side length of 20 cm. The edges tilt outwards by 2 cm whenever the height increases by 10 cm. What is the volume of the basket when the height of... more

Evaluate using trigonometric substitution

∫(dx)/(((x^2)+9)^3)just writing to fill up characters
Integral Calculus

09/15/20

shell method in calculus

Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by the graphs of the functions y=x^2, y=32-x^2 and x=1 about the y-axis.

09/04/20

Calculate the investment worth in 5 years using definitive integration

john whos a store manager is considering 5yr investment and estimated that t years from now it will be generating a continuous income stream of 3000 + 50t dollar per year. If the prevailing annual... more
Integral Math Calculus

08/13/20

The flux of the vector field F ( x , y , z ) = 3 z k across the closed rectangular box with opposing vertices at ( 0 , 0 , 0 ) and ( 6 , 5 , 7 ) is:

Using Surface Integrals, not divergence theorem, find The flux of the vector field F ( x , y , z ) = 3 z k across the closed rectangular box with opposing vertices at ( 0 , 0 , 0 ) and (... more

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