448 Answered Questions for the topic integral calculus

Integral Calculus Calculus Divergence

07/05/21

outward flux by Divergence Theorem

How I can calculate the outward flux of the vector field F(x,y,z)=2xi+yj+zk across the boundary of  z=x^2+y^2 paraboloid  and  z=2x the plane  by the Divergence Theorem ?
Integral Calculus Integral

07/05/21

Fundamental Integration formulas

Evaluate ∫ 3x / 1-3x2 dxusing change of a variable.2.Derive the following formula ∫sec x dx = 1/2 In(1+sinx/1-sinx)+C3.Derive a formula for ∫xn In x dx where a. n≠-1 n=-14.Derive a formula... more
Integral Calculus Calculus

07/04/21

Line Integrals Of Vector Fields

How I can Evaluate (Line Integrals Of Vector Fields) ∫c (𝟑𝒙^𝟐−𝟑𝒚𝒛+𝟐𝒙𝒛) 𝒅𝒙 + (𝟑𝒚^𝟐−𝟑𝒙𝒛+𝒛^𝟐) 𝒅𝒚 + (𝟑𝒛^𝟐−𝟑𝒙𝒚+𝒙^𝟐+𝟐𝒚𝒛) 𝒅𝒛 along the line segment from (-1,2,3) to (3,2,-1)?
Integral Calculus Calculus Area Polar Curves

06/28/21

Determine the area common to r= 3+3sintheta and r=3

Please help.The instruction says the answer must be in Exact form.Determine the area common to r= 3 + 3sintheta and r= 3when I graphed this it is a cardioid and a circle, I am having hard time... more
Integral Calculus

06/28/21

integration expected value

Let f(x) = 1/2e^(-x/2), for x greater than 0. What is the expected value of X?
Integral Calculus Calculus Integral

06/21/21

Calculate the Iterated integral

someone helped me already but i wasnt so sure about it, how do i solve it and was 9ln2/2 the good answer? so please help me :)
Integral Calculus Math Calculus Gmat

06/20/21

Techniques of Integration

If g(1)=5, g(5)=7, and ∫15 g(x)dx=−6, evaluate the integral ∫15 xg′(x)dx.
Integral Calculus Integral

06/15/21

Find the area of the

K={(x,y)∈R/x^2+y^2<=1, o<=y<=x^2, x>=0}
Integral Calculus Calculus Integral

06/15/21

Calculate the double integral.

please help me
Integral Calculus Calculus Integral

06/15/21

Calculate the iterated integral.

could someone please help me?
Integral Calculus Calculus

06/15/21

Describe how the definite integral is derived from the concepts of Riemann sums.

Integral Calculus Calculus Mathematics

06/14/21

The length and width of a rectangular piece of land are 500m and 300m, respectively. Find its area.

The length and width of a rectangular piece of land are 500m and 300m, respectively. Find its area.
Integral Calculus Calculus Integral

06/14/21

Calculate the iterated integral.

please help me i don't get this one.
Integral Calculus Integral

06/13/21

Evaluate the double integral by first identifying it as the volume of a solid.

Please help me i don't know how to do this one
Integral Calculus Math Sat Math Gmat

06/13/21

Applications of Integration

Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).Area between curves =
Integral Calculus Math Sat Math Elementary Math

06/13/21

Applications of Integration

Find, by slicing, the volume of a cone whose height is 3 cm and whose base radius is 3 cm. Slice the cone as shown in the figure below.
Integral Calculus Math Calculus Sat Math

06/11/21

Applications of Integration

The region between the graphs of x=y2 and x=2y is rotated around the line y=2.The volume of the resulting solid is:

06/09/21

y' + y tan x + 1 = 0

Help me answer this differential equation. Thank you.
Integral Calculus Math Calculus Sat Math

06/07/21

Applications of Integration

Find, by slicing, the volume of a cone whose height is 3 cm and whose base radius is 3 cm. volume =
Integral Calculus Math Calculus Sat Math

06/07/21

Applications of Integration

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.y=4x2,x=1,y=0, about the x-axis
Integral Calculus Calculus Sat Math Elementary Math

06/07/21

Applications of Integration

Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves x=y2 and x=1 about the line x=1.Volume =
Integral Calculus Math Calculus Sat Math

06/07/21

Applications of Integration

Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x6, y=1, and the y-axis about the line y=−3.Volume =
Integral Calculus Math Calculus Sat Math

06/07/21

Applications of Integration

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=−8y=x2, x=y2
Integral Calculus Math Calculus Sat Math

06/07/21

Applications of Integration

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves x=4y^2 - y^3 and x=0 about the x-axis.Volume =
Integral Calculus Math Calculus Sat Math

06/07/21

Applications of Integration

The region between the graphs of x=y^2 and x=2y is rotated around the line y=2.The volume of the resulting solid is:

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