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Integral Calculus
Page 2
Questions (205)
Find the area of the region enclosed by the inner loop of the curve.
r = 4 + 8 sin(θ)
3 answers
asked by
A
2,142 views
Find the interval on which the curve y= integral x to 0 of 6/(1+2t+t^2) dt is concave upward
4 answers
asked by
Anonymous
2,479 views
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=x^2, y = 0,
4 answers
asked by
Matthew barlow
1,508 views
Find the are under the given curve
y=square root of x + 1 from x=0 to x=9 Please walk me through each step.
1 answer
asked by
Scott
359 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the
4 answers
asked by
Alice
3,038 views
How to prove that the
{The integral with limit a to b *(the integral with limit x to b f(t)dt}dx=integral with limit a to b
4 answers
asked by
Buh
539 views
The area A between the graph of the function:
g(t) = 4 - (4/t^2) and the t-axis over the interval [1, x] is: A(x) = ∫[1, x] (4
3 answers
asked by
Ray
1,136 views
Evaluate the integral.
from 1 to 5 (ln(x))^2/x^3 dx.
2 answers
asked by
olga
476 views
Find the volume of a solid whose base is bounded by the parabola x=y^2 and the line x=9, having square cross-sections when
3 answers
asked by
Ethan
1,940 views
The semicircular region bounded by the curve x=sqrt{9-y^2} and the y-axis is revolved about the line x=-3.
The integral that
3 answers
asked by
Anonymous
912 views
Find the indefinite integral of (1-sqrtx)/(1+sqrtx)dx
I just worked completely through this problem using substitution
4 answers
asked by
Annale
711 views
Sketch the region bounded by the graphs of the algebraic functions & find the area of the region:
f(x)=10/x, x=0 , y=2, y=10 I
3 answers
asked by
Venne
1,560 views
Find the indefinite integral
(integral sign) 3te^2tdt
13 answers
asked by
Barbara
2,257 views
I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the
3 answers
asked by
Anonymous
734 views
integral(8&4) y dy/(y^2-2y-3)
3 answers
asked by
Anonymous
456 views
Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x^2+y^2=4 and
2 answers
asked by
val
51 views
Use the cylindrical shell method to find the volume of the solid obtained by rotating the region bounded by the curve
2 answers
asked by
Victor
115 views
A region R is bounded by y= sqrt(x) and y = x^6. Set up the integral to find the volume V of the solid formed by rotating R
2 answers
asked by
bill
95 views
Let f (x) = 6x and g(x) = x^2 + 3x, and let R be the bounded region between the graphs of f and g. Set up an integral to find
2 answers
asked by
bill
100 views
Reposting b/c I'm not sure if anyone will see considering the system thinks I answered it myself:
The graph of the function f is
1 answer
asked by
Anonymous
81 views
Find the volume bounded by r=2-2cos theta and r=-6cos theta
Would this be right 1/2 ∫ [5π/3,π/3] ((-6cos theta)^2 - (2-2cos
1 answer
asked by
Wyatt
239 views
The average value of g(t) over the interval [0,3] is given by
A. (g(3) +g(0))/2. B. (g(3)−g(0))/3. C.1/3∫[3,0]g(t)dt. D.
4 answers
asked by
ANonymous
174 views
Find the area of the region bounded by the curves y=x^2-1 and y=cos(x). Give your answer correct to 2 decimal places
3 answers
asked by
Karen
1,950 views
Write the integral in one variable to find the volume of the solid obtained by rotating the first‐quadrant region bounded by y
4 answers
asked by
Ke$ha
2,354 views
I would like to solve the ∫sin^2(pix) dx
Using the given substitution identity: sin^2(x) = (1/2)(1-cos2x) This is what I did so
3 answers
asked by
Ray
618 views
I am given an integral to solve with given substitution values. I got an answer, but I'm not quite sure if it's correct as an
1 answer
asked by
Ray
388 views
I am given two integrals a and b
a) ∫ 1/(1 + x^4) dx b) ∫ x/(1 + x^4) dx The main difference between the two integrals
5 answers
asked by
Ray
495 views
Consider the region enclosed by the graphs of x=y^2-5 and x=3-y^2
a)Express the area of this region by setting up an integral
2 answers
asked by
Beth
614 views
Evaluate the following integral using a geometric formula
Integral of -2 to 6: |x-1|dx
1 answer
asked by
Erika
385 views
Evaluate the integral by reversing the order of integration.
(2 integrations) 0 to 1 sqrt(x) to 1 8(y^3+1) dy dx
2 answers
asked by
Anon
651 views
if you go with the right substitution
∫[{(1-sin(x))/(1+sin(x))}{(2-sin(x))/(2+sin(x))}] dx plz show me solution
1 answer
asked by
rapheal
351 views
Integrate : ∫(cot2x-csc2x)^2dx
2 answers
asked by
Wawen
523 views
the area bounded by y = 1nx and the lines y = 0 and x=e
1 answer
asked by
chev
339 views
Find the volume of the solid generated by revolving the region bounded by
y=e^(5/2x),y=0,x=1, and x=5 about the x-axis.
2 answers
asked by
Sarah
480 views
Use the sub x-1 = sqrt(5)tan(u) to evaluate 5∫3 1/(x^2-2x+6)^3/2
I don't know how to use the substitution
6 answers
asked by
Rob
364 views
Set up the simplified integral and compute the volume created when the area bounded by y=.25x4, y=4, and the y=axis (Quadrant 1)
1 answer
asked by
anon
431 views
Use the shell method
y=14x-x^2, x=0, y=49
1 answer
asked by
linda
377 views
Integrate:(K+1/k^2+4k+8)dx
1 answer
asked by
Collins
318 views
Integrate x^xdx
it is to difficult if wolfram can help any link or something
1 answer
asked by
Collins
333 views
integral of 3/1-3x^2
1 answer
asked by
rekl
279 views
find the centroid of the area of the finite region enclosed by the curve y=x^(2)+1, when x-axis and the line, x=0 and x=3
5 answers
asked by
edward
471 views
The region in the first quadrant bounded by the x-axis, the line x = π, and the curve y = sin(sin(x)) is rotated about the
2 answers
asked by
Anonymous
793 views
Using the left endpoint with n = 3, approximate the area of the region bounded by f(x)=3x^2+3 and the x-axis for x between -4
1 answer
asked by
Irina
415 views
Find the area in the first quadrant bounded by the curve y=(9-x)^1/2 and the x- and y-axis.
1 answer
asked by
Max
425 views
integrate (3+x)x^(1/2)dx=?
please help I have no idea how to integrate this problem
4 answers
asked by
Anonymous
442 views
Evaluate the following:
a) S (4x^2+3)/x^2 dx b) S 4x(x^2+3) dx Please help and show the working so that I can understand as I hv
1 answer
asked by
A
336 views
find the arc length of the graph of the function over the indicated interval. x^5/10+1/(6x^3) on the interval (3,6)
4 answers
asked by
Kee
1,057 views
Evaluate the indefinite integral.
integral 2e^(2x)sin(e^2x) Note: Use an upper-case "C" for the constant of integration.
2 answers
asked by
Josh
1,149 views
Consider the area between the graphs x+2y=9 and x+6=y^2. This area can be computed
in two different ways using integrals First of
2 answers
asked by
Babak
1,106 views
I've been stuck on this math hw problem for a while, I was thinking of taking the integral of the equation, but I've been
3 answers
asked by
Student
464 views
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Algebra
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