270 Answered Questions for the topic integral
How would i find what a and b are?
Set up an integral that computes the volume of a cone of height 12 whose base is an ellipse with semi-major axis 6 and semi-minor axis 4. The area formula for an ellipse is pi(a)(b), where a is the...
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Integral Calculus
07/10/21
integrals involving tan and sec; cot and cos
evalutae the integral please∫csc26xdx
Integral Integral Calculus
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
06/22/21
What's the antiderivative of 2u wrt u?
To integrate 2u wrt u, add 1+1 in exponent and denominator which is 2. Then divide 2u squared by 2 in this case u squared. Finally put plus C. The solution is u squared plus C.
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 :)
Techniques of Integration
If g(1)=5, g(5)=7, and ∫15 g(x)dx=−6, evaluate the integral ∫15 xg′(x)dx.
Integral Integral Calculus
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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