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Integration
Page 6
Questions (1,044)
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the
1 answer
asked by
Chancellor Davis
129 views
Consider the region R bounded by f(x) = ln x, x = e, and the x-axis. The units on the axes are in meters.
Set up, but do not
1 answer
asked by
Sam
212 views
Consider the integral:
21 ∫ x^3 dx 3 -Use Left Sum, Right Sum, Midvalue Sum, and Trapezoid Rule methods to approximate this
2 answers
asked by
xiny
204 views
find
∫ (3^x - 5)(4^x + 7) dx
1 answer
asked by
xiny
176 views
y = 32−x^2, y = x^2; about x=4
Trying to find V by using the method of cylindrical shells. I got 1280pi/3, but my homework says
1 answer
asked by
Ben
349 views
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
2 answers
asked by
Tara
474 views
∫[2,6] (1/x^2)
by hand
3 answers
asked by
Sean
258 views
Integral of( coshx)^5 (sinhx)dx
1 answer
asked by
Yaseen Khan
251 views
Can some one check my answer
Find the volume y=x, y=x/3, x=6, about the line y=-1 V= ∫ [6,0] (x^2+1)^2 - (x/3+1)^2 dx= 88π
1 answer
asked by
Ana
124 views
What is the domain of h(x) when h(x) = integral (-2, 5x+2) f(t)dt
and the domain of f(t) is [-2,3]
1 answer
asked by
Anonymous
171 views
Read this excerpt from I Never Had It Made.
Branch Rickey lost that fight, but when he became the boss of the Brooklyn Dodgers in
6 answers
asked by
Conexus student
955 views
1. The goal of the charity was to help its target demographic integrate into U.S. society.
2. The goal of the charity was to help
1 answer
asked by
rfvv
326 views
How do I go about this
(((1-e^(-x))cosx)dx/x???
1 answer
asked by
Isaac
258 views
Hi, not sure how to set this integral up for my Calculus II homework.
"Given a graph that contains a parabola and a line, the
1 answer
asked by
Sky
363 views
Can somebody verify my answer my answer is correct or not? answer is 8/π(e-1). Find the average value of the function on the
3 answers
asked by
Anonymous
424 views
Calculate the following integrals using substitution
a) Integral of x(5+x^2)^10 dx , where u = (5 + x^2) So, x(5+x^2)^10 dx u =
3 answers
asked by
Lily
423 views
Find the distance from 0 to 3 of the ∫ l3t-5ldt. I don't understand how the answer is 41/6.
3 answers
asked by
smith
344 views
Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x
2 answers
asked by
Will
830 views
Use the graph of f(t) = 2t + 2 on the interval [-1, 4] to write the function F(x), where f(x) = x∫-1 f(t) dt
a. F(x) = x^2 + 3x
4 answers
asked by
CHRIS
586 views
Consider the polar curve: r=3cos(3ϴ)
a) Find the area of the first leaf of the graph. -Thank you.
2 answers
asked by
Dalal
699 views
y= 3/x^3; [1,3]
Find the area under the graph of the function over the integral given. The book answer is 4/3
1 answer
asked by
Amy
415 views
Find the area of the region bounded by the curves y = sin^-1(x/2), y = 0, and x = 2 obtained by integrating with respect to y.
2 answers
asked by
Tom
840 views
How do we integrate {[1/(√(1-x^2) )]*[ln|(2x+3)(√(1-x^2))] } ?
Is there any suitable substitution or do we have to do this by
4 answers
asked by
Shenaya
346 views
Using a suitable substitution show that integrate {[ln|1+x|]/[1+(x)^2]} from 0-1 = (π/8)ln|2|
On this one, I don't really have
2 answers
asked by
Shenaya
486 views
Question:
Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2x-π) } from (0-π) = [ integrate {sin x*cos x*sin[π/2*cos x}
4 answers
asked by
Shenaya
780 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
Hannah
1,385 views
I am trying to understand my teacher's example of a Work problem.
Cut to the chase here's a picture of the problem:
3 answers
asked by
Ray
555 views
I am supposed to find the area of the region given two boundaries and two functions revolving about the x axis.
x = 0 x = pi/2 y
1 answer
asked by
Ray
465 views
Find ∫1/((x^2+5)^(3/2)) dx
I figured this would be a trig substitution problem, so I set x = sqrt(5)tanθ and dx =
4 answers
asked by
Ray
522 views
Find the range of the function F(x)= definite integral from [-6,x] of sqrt(36-t^2)dt.
[0, 36π] [0, 18π]*** [-6, 6] [-6, 0]
4 answers
asked by
Hannah
2,010 views
A solid generated by rotating about the x-axis the region under the curve of f(x) from x=0 to x=b, is b^2 FOR ALL b>0. Find the
1 answer
asked by
Anonymous
445 views
∫ (2x-1)^2 dx could have two answers:
a) ((2x-1)^3)/6 + C b) 4/3x^3 - 2x^2 + x + C Now the question is, how are the two answers
2 answers
asked by
Ray
550 views
Find the derivative of:
G(x) = ∫(top x) t^5 sin(−7t−4)dt . (bottom 9)
1 answer
asked by
Mary
399 views
Question: ∫(x^2)/sqrt(x^2+1)
u=x^2+1 , x^2= u-1, du=2xdx ∫(u-1)/sqrt(u) , expand ∫u/sqrt(u) - 1/sqrt(u) Integrate:
2 answers
asked by
Liam
525 views
If the area between the curves y=√x and y=x^3
is rotated completely about the x-axis,find the volum of the solid made? Please
3 answers
asked by
putayoto
328 views
Use a comparison test to determine if the integral from 8 to infinity of sin^10(x)e^(-x) converges or diverges?
I am stuck on
1 answer
asked by
Alice
367 views
Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3 , find the
2 answers
asked by
Anonymous
1,279 views
Find the centroid (x¯,y¯)(x¯,y¯) of the region bounded by:
y=5x^2+6x y=0 x=0 x=6 I know the integral (think, at least) is
2 answers
asked by
Ethan
742 views
let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x).
This question confused me because i know the
3 answers
asked by
Prince@18
665 views
Integrate (((cos^2(x)*sin(x)/(1-sin(x)))-sin(x))dx
thanks
4 answers
asked by
Mycah
456 views
what is the Integration of x.y.[(x^Integration of x.y.[(x^2 +y^2 +25)^3/2 ] dx.dy from (0<x<1) &(0<y<1) ?
1 answer
asked by
ASHISH
407 views
Sketch the regions represented by the following integrals and evaluate them using geometric formulas.
4 integral 1: 2x+3dx 6
6 answers
asked by
Leila
794 views
Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round
4 answers
asked by
Kelly
2,161 views
Use a triple integral to find the volume of the given solid.
The solid enclosed by the cylinder x^2 + y^2 = 9 and the planes y +
1 answer
asked by
Anon
459 views
Please solve it step by step. Integrate:
∫(x^3/(√(x^2+1))dx
1 answer
asked by
Wawen
361 views
Integrate it in step by step applying integration by partial fraction.
∫(x^3)/(x^2+1)dx
1 answer
asked by
Wawen
394 views
Integrate it step by step using inverse trigonometric functions.
∫(4/(4-5x))dx
1 answer
asked by
Wawen
455 views
Please solve it in step by step.
integrate: ∫(cot2x-csc2x)^2 dx
4 answers
asked by
Wawen
819 views
Integrate 4,^~^1(5×^2-8×+5)d×
3 answers
asked anonymously
25 views
The following table shows the rate of water flow (in L/min) through a dam.
t (min) 1 5 9 13 17 21 25 V'(t) (L/min) 6 6 2 2 3 6 2
2 answers
asked by
John
1,232 views
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