270 Answered Questions for the topic integral

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.
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Integral Calculus Volume

02/14/19

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
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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
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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.
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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.
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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.
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01/17/19

Evaluate the limit if f(x) = 8x on [0, 4].
lim N→∞ RN = ?
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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.
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01/15/19

Find f '(x) and f(x).
f ''(x) = 36x,    f''(0) = 3,    f(0) = 2
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01/15/19

Help me solve this calculus problem, Please.
Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?
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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
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Integral Calculus Derivative

11/29/18

(Calculus 1 class) Use Newton's method to approximate the indicated root of the following equation: the root of tanx=x in the interval (pi/2, 3pi/2)
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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..
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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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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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05/12/18

How do you find the upper bound of an integral
12000-inte(0 to A) r(t)dt= 9000   r(t)= 600t/t+3 for 0 less than or equal to t less than or equal 5 r(t)= t>5 (Piecewise)  
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03/26/18

Assume s,v, and a are continuous functions and s is twice differentiable, where s(t) represents the position, v(t) is velocity, a(t) is acceleration
 Find the following:   d/dx of integral from t to t^2 of v(w)dw   integral from t to t^2 of v(w)dw   second derivative of integral from t to t^2 of v(w)dw    Calculus question I am stuck on
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Integral

07/26/17

Integral of Sin-1 logx
Sin-1logx find integral 
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04/29/17

Stuck on pratice problem reguarding integrals
a. Explain why ∫02pi sin(x)dx = 0   b. Can you set up another integral, or perhaps multiple integrals, to compute the total (unsigned) area between sin(x) and the x-axis on the interval [0,2pi]
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04/02/17

plane areas in rectangular coordinates (please help)
Find the area bounded by the curve: y = x(x-1)^2, the line y = 2, and the y - axis
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Integral Calculus 3

11/15/16

I=R⌠⌠⌠f(x,y,z)dv
Set up an iterated integral to evaluate I=R⌠⌠⌠f(x,y,z) dv, where R is the region in the first octant bounded by the surface z=x+y^2, the cylinders y=2sqrt(x), x=2sqrt(y), and the... more
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04/28/16

Integration question involving cosh^-1???
Evaluate the integral (1/sqrt(x^2 - 5))dx on limits of 3 to 4, using the formula: integral of (1/sqrt(x^2 - a^2))dx. Recall that this formula was found by using the substitution x = a cosh t, and... more
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Integral Calculus

04/18/16

Find an anti-derivative F(x) with F'(x) = f(x) and F(0)=0
Find an anti-derivative F(x) with F'(x) = f(x) and F(0)=0   f(x)=(1/5)x
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03/13/16

Evaluate the integral below given R. (Hint: what is the upper boundary of x?)
Evaluate the integral below given R. (Hint: what is the upper boundary of x?)     ∫∫1_R^  xy daR bounded byx=0y=0y=9−x^2      
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03/13/16

Find the integral below.
Find the integral below.       ∫∫1_R^ (x+2y) dar={(x, y):0≤x≤3, 1≤y≤4}    
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