448 Answered Questions for the topic integral calculus

Integral Calculus Integral

05/23/20

using two dy integral rotate according to y axis
Let R be the region in the first quadrant bounded by the curvesy = f(x) = 2x+ 1 y = g(x) = 2x^2 − 8x + 9Find the volume of the solid obtained by rotating the region R about y-axis using two... more
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Integral Calculus Integral

05/22/20

Find the volume of the solid obtained by rotating
Let R be the region in the first quadrant bounded by the curves y = f(x) = 2x+ 1 and y = g(x) = 2x^2 − 8x + 9Find the volume of the solid obtained by rotating the region R about the line y = 10... more
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Integral Calculus Calculus Integral

05/13/20

If if f is integrable on [a, b] show by example that F(t)= integral from a to t f( x ) dx is continuous but need not to be differentiable
If if f is integrable on [a, b] show by example that F(t)= integral from a to t f( x ) dx is continuous but need not to be differentiable
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Integral Calculus Calculus

05/13/20

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line
Find the volume of the solid obtained by rotating the region bounded by the given curves about the line  x= -6 y= x^2 x= y^2
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Integral Calculus Calculus Integral

05/13/20

How do I integrate this?
integrate (1/(sqrt(x)+sin(x)))
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Integral Calculus Calculus

05/13/20

Calculus:integrate (x ^ 2 * sin x)/(1 + x ^ 6) dx from -pi/2 to pi/2
integrate (x ^ 2 * sin x)/(1 + x ^ 6) dx from -pi/2 to pi/2The answer is zero but can anyone please write the steps and tell what method he/she used?
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Integral Calculus Calculus Calculus 2 Integrration

05/11/20

what's the answer to this question: Let
x^2f(x) = ∫ e^(-t^2) dtxfind the critical points of f(x).note: integral from (x) to (x^2).
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Integral Calculus Integration Calculus 2

05/11/20

If f is integrable on [a, b], show by example that
show by example that: tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).
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Integral Calculus Calculus

05/11/20

what's the integral of

π/2∫ x^2 *(sin x) /(1+ x^6) dx ?-π/2note: integration from(-π/2) to (π/2).
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Integral Calculus Calculus

05/11/20

what's the integral of x/1+x^4 dx ?

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Integral Calculus

05/11/20

what's the integral of dx/(x-2)(x-2+sqrt(x-2))?

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Integral Calculus Math Calculus Integral

05/10/20

Integrate (1+x^2)/(1+x^3)
I just can't manage to integrate this expression, I need help
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Integral Calculus Calculus

05/09/20

Integration help
How do you integrate (x^4+81)/(x(x^2+9)^2)
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Integral Calculus

05/09/20

area between curves question
Find the area that is inside r=3+3sin θ and outside r=2
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Integral Calculus Differential Equations

05/02/20

Answer these questions please.
Find the differentiation of the function 𝑓(𝑥)=tan𝑥 using the first principal method.
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Integral Calculus Calculus

04/28/20

Use the properties of integrals to verify the inequality
∫ sin(x)/√x dx ≤√2/2 from [π/4 , π/2]
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Integral Calculus Calculus

04/27/20

On what interval is the curve concave downward?
y=∫ t^2/(t^2+t+2) dx from[ 0,x ]
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Integral Calculus Calculus

04/26/20

A particle is moving with the velocity v(t), given by the function below.Find the total displacement of the particle in the first 10 seconds.
v(t)=cos(πt/6)+sin(πt/9)
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Integral Calculus Math Calculus Integral

04/22/20

Use a power series to approximate the definite integral, I, to six decimal places: the integral from 0 to 0.3 of ((x^5)/(1+x^4))dx
NEED HELP ASAP! please provide step by step solution, especially on how to estimate the integral to 6 decimal places. How can you do so without a calculator?
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Integral Calculus Calculus

04/21/20

Could someone verify I am understanding this Calculus problem correctly, please?
Hi, I am working on a problem and I think I have it solved, but would just like to make sure that I have done it correctly, if possible. I appreciate anyone taking the time to help me.Problem:"The... more
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Integral Calculus Calculus

04/18/20

Find the limits of integration after changing the order of integration of \int _0^1\int _{x^2}^{2-x}\:xydydx
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Integral Calculus Integral

04/15/20

Integration Methods
1. ∫5 1 / x(6+5x) dx 1Examine the form of integral which involve a+bu. Let u=x, a=6, and b=5.
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Integral Calculus Mathematics

04/15/20

integral of x-3 divided by x into dx
∫ X-3____ dx = X
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Integral Calculus Calculus Derivative

04/14/20

Gradient Function/ Derivative/Calculus

A gradient function is given by dy/dx = 102x-5. When x=0, y=8. Find the value of y when x=1
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Integral Calculus Math Calculus

04/07/20

hello i need help figuring out this question
A rapid transit trolley moves with a constant acceleration and covers the distance between two points 300 feet apart in 8 seconds. Its velocity as it passes the second point is 50 feet... more
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