 121 Answered Questions for the topic integral

Integral Calculus

4d

#### shell method in calculus

Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by the graphs of the functions y=x^2, y=32-x^2 and x=1 about the y-axis.

#### Calculate the investment worth in 5 years using definitive integration

john whos a store manager is considering 5yr investment and estimated that t years from now it will be generating a continuous income stream of 3000 + 50t dollar per year. If the prevailing annual... more
Integral Math Calculus

08/13/20

#### The flux of the vector field F ( x , y , z ) = 3 z k across the closed rectangular box with opposing vertices at ( 0 , 0 , 0 ) and ( 6 , 5 , 7 ) is:

Using Surface Integrals, not divergence theorem, find The flux of the vector field F ( x , y , z ) = 3 z k across the closed rectangular box with opposing vertices at ( 0 , 0 , 0 ) and (... more

07/29/20

#### Integral Concepts

So I understand trig identities:Sin2x/cosx=2sinxThe above expressions are equal at all values of x except for those not defined by Sin2x/cosx (i.e. pi/2).Say one wants to integrate Sin2x/cosx from... more
Integral Math Calculus

07/26/20

Suppose f′(x) = √(x) sin(x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈ 5b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈
Integral Math Calculus

07/26/20

#### Suppose f′(x) = x√sin (x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = x√sin (x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈
Integral Math Calculus

07/26/20

#### Integral Help!! If f(x) is odd, find: int{x=-2 to x=2} f(x)dx =

Let ∫02 f(x) dx = 8If f(x) is odd, find:∫-22 f(x)dx =
Integral Math Calculus

07/26/20

#### If int{x=1 to x=3} (3f(x)+8) dx=14, then int{x=1 to x=3} f(x)dx = ?

If ∫13 (3f(x)+8) dx=14, then ∫13 f(x)dx =

07/25/20

#### Maclaurin Series and Term-By-Term Integration

Approximate the integral from 0 to 1 of e^(-x^2)dx with an accuracy of 10^-6 using the maclaurin series of e^x , replacement of x by -x^2, and term-by-term integration. You will have to figure out... more
Integral Math Calculus

07/01/20

#### Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c.

Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c. You may assume "b" does not equal zero. Use "+C" as a constant to indicate a family of solutions differing by a constant. ∫... more
Integral Math Calculus

07/01/20

#### Use part I of the Fundamental Theorem of Calculus to find the derivative of:

Use part I of the Fundamental Theorem of Calculus to find the derivative of: h(x) = ∫ (top of the integral symbol says "sin(x)" and bottom of integral symbol says "-3") then followed by the... more

06/30/20

06/30/20

#### Trigonometric Substitution Integration

Evaluate the Following:1.) ∫ (dx)/(x^2*(9-25x^2)^(1/2))

06/24/20

#### Evaluate line integral of vector field

F(x,y)= (2x/y) i+ (1+x2/y2) j along the curve x = cos(t), y = sin(t) and t ∈ [π/4, 3π/4]

06/24/20

#### Evaluate the following line integral

∫c 2xy3 dx + 4x2y2 dy along positively oriented circle with equation x2 + (y + 1)2 = 1

06/18/20

#### Hi i need some help with this question

A region in the first quadrant is bounded above by the curve y = tanh x, below by the x-axis on the left by the  y-axis and on the right by the line x = ln 7.  Find the volume of the solid... more
Integral Math Calculus

06/15/20

#### answer the question as true or false

The function  is not integrable on

06/11/20

06/11/20

06/05/20

#### (0 to +∞) ∫(dx) / (sqrt(x)(x+1)) , what is the result of this integral?

Integral Math Calculus

06/05/20

Find all values of  that satisfy the conclusion of Rolle's Theorem for the function  on the interval
Integral Math Calculus

06/05/20

The iteration formula                          was obtained by applying Newton’s method to some function .What was ?
Integral Math Calculus

06/04/20

#### Alternating series, calculus2

∑ from n=1 to ∞ (-3)n/3n * (n+1)3 Would someone solve please..is it convergent or divergent ??And how did you find it ?

06/04/20

#### Alternating series, summation from n=1 to infinity (1/(n+1)^3

∑ from n=1 to ∞ 1/(n+1)3 Would someone solve please..is it convergent or divergent ??And how did you find it please ?
Integral Math Calculus

06/03/20

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