204 Answered Questions for the topic integral

Integral Integral Calculus

1d

#### 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 =

1d

#### 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 Integral Calculus

11d

#### 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?

#### Integrals Problem

The interval [0,4] is partitioned into n equal subintervals, and a number xi is arbitrarily chosen in the i^th subinterval for each i. Then:lim (n→∞) n ∑ i=1 [(2xi+3)/n] = ?

#### Integrals Problem

Estimate the area under the graph of f(x)=(x^2)+3x from x=5 to x=8 using 3 approximating rectangles and left endpoints.Approximation =

#### Integrals Problem

Consider the function f(x)=(9)/(x^(2))-(7)/(x^(7)) . Let F(x) be the antiderivative of f(x) with F(1)=0.Then F(x)=

#### Integrals Problem

Suppose f''(x)= -25sin(5x) and f'(0)=-5 and f(0)=6f(pi/4)=

23d

#### Frustrating Integral, help

the integral of (x^4 + X^2 + 4) over (x^6 +4x^4 + 4x^2) then dx on the middle of the fractioni got stuck after the partial fraction decomposition

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