340 Answered Questions for the topic integral calculus

#### Calculate the iterated integral.

could someone please help me?

Integral Calculus Calculus

1d

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

1d

#### 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

2d

#### 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 =

2d

#### 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

8d

#### 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:

Integral Calculus Integral

12d

#### Doing the integral of a* (x^2) * e^-bx

Hi, I’m having trouble at doing the integral of a*x^2 * e^-bx. In fact I don’t know how to change the e^-bx to have an answer which , with the definite integral from zero to + infinite, give me a...
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#### Integrals Problem

∫410 f(x)dx − ∫49f (x)dx = ∫ab f(x)dxwhere a= and b=

#### Integrals Problem

Given that 7≤f(x)≤10 for 1≤x≤4, estimate the value of ∫14 f(x)dx ....... ≤ ∫14 f(x)dx ≤ ......

#### Integrals Problem

Let y=∫1cos(x) (−9t+10sin(t))dt. Use the Fundamental Theorem of Calculus to find y′.y′=

#### Integrals Problem

The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x^2 (in dollars per yard). Find the increase in cost if the production level is raised from 1500 to 9500...
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#### Integrals Problem

A factory produces bicycles at a rate of 95+0.1t^2 −1.1t bicycles per week (t in weeks). How many bicycles were produced from day 15 to 28?

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