448 Answered Questions for the topic integral calculus
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...
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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)?
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...
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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?
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 :)
Techniques of Integration
If g(1)=5, g(5)=7, and ∫15 g(x)dx=−6, evaluate the integral ∫15 xg′(x)dx.
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.
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.
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
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 =
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.
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:
Applications of Integration
Find, by slicing, the volume of a cone whose height is 3 cm and whose base radius is 3 cm. volume =
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
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 =
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 =
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
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 =
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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