448 Answered Questions for the topic integral calculus

Integral Calculus Math Calculus

06/19/19

Find the volume of the solid that lies within the sphere x^2+y^2+z^2=16, above the xy plane, and outside the cone z=2sqrt(x^2+y^2).
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Integral Calculus Math Calculus

06/17/19

valuate the triple integral ∭xydV where the region is the solid tetrahedon with vertices (0,0,0), (6,0,0), (0,10,0), (0,0,9)
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Integral Calculus Math Calculus

06/13/19

Find the particular solution to y " = 3sin(x) given the general solution y = -3sin(x) + Ax + B and the initial conditions y(pi/2)=-pi and y'(pi/2)=-2
Find the particular solution to y " = 3sin(x) given the general solution y = -3sin(x) + Ax + B and the initial conditions  and .A. -3sin(x) + 2x + 3B. -3sin(x) + piC. -3sin(x) - 2x + 2pi +... more
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06/13/19

Determine which function is a solution to the differential equation y ' - y = 0.
Determine which function is a solution to the differential equation y ' - y = 0.A. exB. C. xD. None of these
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Integral Calculus Math Calculus Volumes

06/13/19

Find the volume of the solid formed by rotating the region bounded by the graph of y=1 + √x , the y-axis, and the line y = 3 about the x-axis.
Find the volume of the solid formed by rotating the region bounded by the graph of  , the y-axis, and the line y = 3 about the x-axis8.37641.88826.667none of these
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Integral Calculus

06/02/19

Question is of integration .

Integration of 1/ 1+tanx.
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Integral Calculus Calculus

05/16/19

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 4x4,  y = 4x,  x ≥ 0;    about the x-axis
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Integral Calculus Calculus

05/16/19

integral calculus pls help me
volume y=x, y=x, about x=4
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05/09/19

What is the position of the particle, s(t), at any time t? (Multiple Choice)
The velocity of a particle moving along the x-axis is v(t)= 1/sqrt(t). At t=4, its position is 2Choose 1 answer:A. s(t)=2t^1/2B. s(t)= 2t^(1/2) -2C. s(t)= 2/3t^3/2D. s(t)= 2/3t^3/2 -10/3
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Integral Calculus Calculus

05/08/19

What is the value of f(6)?
Let f be a differentiable function such that f(2)=1 and f'(x) = sin(x^2 - 5)
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Integral Calculus Calculus

05/07/19

How come I cant use the table of integrals
integrals of --> dx/(9x-16x^2)^1/2 I tried to solve it using this dx/(a^2-x^2)^1/2 = arcsin(x/a)+C from the table of integrals but Im not getting the right answer. Why cant I use it or am I not... more
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Integral Calculus

04/26/19

distance as a function of initial velocity and constant power
Mass M with initial velocity =Vo represented by initial energy = Eo => Vo=sqrt(2/M*Eo).Energy (and velocity) increase as constant power applied: e(t)=Pt + Eo => v(t)=sqrt[ 2/M* ( Pt + Eo... more
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Integral Calculus Math Calculus Sequence

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).
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Integral Calculus Math Calculus Sequence

04/26/19

Find the Taylor series for f(x) centered at c.
f(x) = 1/3x-2 , c = -6
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Integral Calculus Calculus Sequence Series

04/26/19

Find the Taylor series for f(x) centered at c.
f(x) = e3x,    c = −9
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Integral Calculus Calculus

04/21/19

Definite integral from 2 to x vvvv
Find F as a function of x and evaluate it at x = 2, x = 5 and x = 7. 2^x (t3 + 6t − 3)dt
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Integral Calculus Math Calculus Power Series

04/18/19

Find a power series representation of f.

Find a power series representation of f. Use a geometric series and properties of a power series. (Assume that −1 ≤ x ≤ 1.)f(x) = 8 ln(1 + x4)
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Integral Calculus Calculus Integral

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 = ?
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Integral Calculus Calculus

03/27/19

integration of x + 2 whole square
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Integral Calculus Calculus

03/20/19

Integration of d(xyz)
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03/18/19

Mathematics - Differentiation 'product rule' Problem
hi, I am struggling with a maths question, it is differentiation using the product rule however I cannot solve this. Please complete this problem for me with step by step in the answer and I will... more
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Integral Calculus Calculus

03/10/19

Integration Question
May I ask how to do this?Suppose that f(1)=−6, f(4)=−9, f′(1)=3, f′(4)=9, and f′′ is continuous. Find the value of ∫41   xf′′(x)dx. (upper bound=4, lower bound=1)
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Integral Calculus Trigonometric Substitution

02/28/19

Evaluate the integral using trigonometric substitution

integrate the integral x^3/(sqrt(x^2+64)dx, x=8tan(theta)
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Integral Calculus

02/28/19

Evaluate the Integral

integrate the integral of du/(usqrt(3-u^2)Use C for the constant of integration
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Integral Calculus 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
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