204 Answered Questions for the topic integral

#### 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).

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

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

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

f(x) = e3x, c = −9

#### Find the Taylor Series expansion up to degree three of....

sqrt(2+x) about a=2

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 = ?

03/26/19

#### The function g is continuous and the integral from 0 to 15 of (g(x))dx=6. What is the value of the integral from 1 to 4 of (xg(x^(2)-1)dx?

Choices:a. 3/2b. 3c. 6d. 12e. 24

#### 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...
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#### 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.

#### Find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis...

y = x2, y = x1/2, about x = −2

#### 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

#### 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.

01/23/19

#### Calculate F(12) given that F(9) = 3 and F '(x) = x^2. Hint: Express F(12) − F(9) as a definite integral.

Show me how it's done, smart people.

#### 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.

#### 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

#### 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 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...
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05/15/18

#### How can you compute the domain of g and g'(t) without computing any integrals in its definiton?

g(t)= ∫0t((1/1-x)+(1/(1+x)^2))dx

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