204 Answered Questions for the topic integral

04/26/19

#### Find the Maclaurin series for f(x) = cos(x^2) and use it to determine f^ (8)(0).

Find the Maclaurin series for f(x) = cos(x2)and use it to determine f (8)(0).

04/26/19

#### Find the Taylor series for f(x) centered at c.

f(x) = 1/3x-2 , c = -6

04/26/19

#### Find the Taylor series for f(x) centered at c.

f(x) = e3x,    c = −9

04/26/19

04/11/19

#### Find the integral

Let the:integral [6 to 10.5] f(x)dx=2integral [6 to 7.5] f(x)dx=1integral [9 to 10.5] f(x)dx=5Find:integral [7.5 to 9] f(x)dx = ?andintegral [9 to 7.5] (2f(x)-1)dx = ?
Integral Math Calculus Work

02/20/19

#### Calculate the work required to lift a chain.

A 4-m chain with linear mass density ρ(x) = 2x(4 − x) kg/m from x = 0 to x = 4 lies on the ground. Calculate the work required to lift the chain from its front end so that its bottom is 2 m above... more
Integral Calculus Area Volume

02/14/19

#### Find the volume V of the solid obtained by rotating the region enclosed by the graphs

Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e−x, y = 1 − e−x, and x = 0 about y = 2.5.
Integral Calculus Volume

02/14/19

#### Find the volume generated by revolving the region bounded by y = x^2, y = 0, and x = 1 about the following...

a) the x-axisb) the line y = -3c) the line x = 3
Integral Calculus Volume

02/14/19

#### Find the volume V of the solid obtained by rotating the region enclosed by the graphs .

Find the volume V of the solid obtained by rotating the region enclosed by the graphs x = sqrt y and x = 0 about the y-axis between y = 1 and y = 8.
Integral Calculus Area Help

01/18/19

#### Find a formula for R (subscript) N for the function f(x) = x^2 on [0, 1] in terms of N.

Then compute the area under the graph as a limit.

01/17/19

#### Evaluate the limit if f(x) = 8x on [0, 4].

lim N→∞ RN = ?
Integral Calculus Summation

01/17/19

#### Using the RN approximation, express the area under the graph f(x) = x^−3 over [1, 9] as a limit but do not evaluate.

I don't really understand integrals and summation.

01/15/19

#### Find f '(x) and f(x).

f ''(x) = 36x,    f''(0) = 3,    f(0) = 2

01/15/19

#### Help me solve this calculus problem, Please.

Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?

11/29/18

#### Use The Definite Integral (Riemann Sum) to evaluate integral (2+3x-x^2) where x is from 1 to 5?

The solution should include Δx and xi
Integral Calculus Proving

11/02/18

#### Integral Calculus Really need help

Let n ∈ N. prove that integral (from 0 to pi/2) [sinn(x)/sinn(x)+cosn(x)]dx = pi/4please i really need help this is the only question i can't answer..

10/30/18

#### Evaluate an indefinite integral (Trig)

∫ (cosθ/sin2θ) dθHow would you evaluate this function? I saw a substitution method but I wasn't taught that in my class so I don't think I want to be using that way, unless it's the only way. The... more

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