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Definite Integrals
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Questions (122)
Can someone check my answers:
1) Use geometry to evaluate 6 int 2 (x) dx where f(x) = { |x|, -2 <= x <= 2} {2, 2 < x <= 4} {-x+4
1 answer
asked by
Sydney
517 views
if we know that 12 is less than or equal to f(x) which is less than or equal to 18, what can be say about this inequality?
? is
3 answers
asked by
Anonymous
1,039 views
(1/1+(4/n))(4/n)+(1/1+(8/n))(4/n)+(1/1+(12/n))(4/n)+....+(1/1+(4n/n))(4/n)
is a right Riemann Sum for a certain definite
2 answers
asked by
Anon.
609 views
find value of def integral with a=-2 and b=2sqrt(3) definite integral is : x^3 * sqrt(x^2+4) dx
for integral i get 1/15
1 answer
asked by
Mikey
378 views
find the upper and lower bounds for definite integral sign, a=1, b=6, sqrt(x) dx. partitions are as follow: x0=1, x1= 3, x2=6 of
4 answers
asked by
Eric
1,299 views
find the upper and lower bounds for definite integral sign, a=1, b=6, sqrt(x) dx. partitions are as follow: x0=1, x1= 3, x2=6 of
1 answer
asked by
Eric
473 views
Use the Riemann Sums corresponding to 5 inscribed rectangles of equal width to approximate the integral a= 1, b= 3, (1/x)dx
this
1 answer
asked by
Eric
455 views
Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a - \frac{b\pi^2}{c}, where a, b and c are positive integers and b
1 answer
asked by
John
421 views
Evaluate the definite integral from 0 to 1 of
(x^2)sqrt(5x+6)dx
2 answers
asked by
Anonymous
787 views
Evaluate the definite integrals �ç[-2,0,(e^2+1),x] + �ç[0,1,2 cos(x),]
1 answer
asked by
sean de la Harpe
377 views
Evaluate definite integral from -2 to 0.
Integral((x^2)(e^((x^3)/2)dx) Do those parentheses make sense? The power of e is x^3
1 answer
asked by
Hannah
351 views
integrate [sinx + cosx] from 0 to 2pie, where [ ] represents greatest integer function .
2 answers
asked by
..
869 views
The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3.
Here is what I have so far: Radius = 1/(x^3) Area of Cross
3 answers
asked by
Mooch
561 views
given �ç 1to-1 f(x)dx=0 and �ç 1to0 f(x)dx=5, compute the following
a.�ç 0to-1 f(x)dx b.�ç 0to1 3f(x)dx=0 c.�ç 1to-1
3 answers
asked by
Jake
358 views
Evaluate the definite integral
8 S (3x^2 + 3)/(x^2) dx 5 Not sure which substitution to use. Please show your work & explain.
1 answer
asked by
Mary
357 views
Please help me... and show steps please :)
integral from 0 to 1 of (e^x+1)/(e^x +x) dx
5 answers
asked by
Brit
338 views
Find the value of the definite integral using sums, not antiderivatives:
int= integral sign int((x + 2)/(x^(3/2)),x= 16..25)dx
1 answer
asked by
CM
406 views
Evaluate the definite integral.
S b= sqrt(Pi) a= 0 xcos(x^2)dx I'm not sure if this is right? u= x^2 du= 2xdx du/2= xdx S
7 answers
asked by
CMM
484 views
Evaluate
2 ∫ |x+1| -3
1 answer
asked by
Carla
439 views
Find the arc of the following: f(x)=x^2-8x+15 from x=4 to x=6
1 answer
asked by
Travis
366 views
what is FTC?
use ftc to evaluate a definite integral with basic integrand. f looking sign, integral bottom number 0 top number 2
1 answer
asked by
GbFT
435 views
Definate intigral of Mvdv where upper limit is v and lower limit is u
4 answers
asked by
Kappu
2,081 views
Help with these problems would be greatly appreciated:
1.Find the definite integral of dx/(x(1+ln(x))from e^6 to 1. 2. Solve for
4 answers
asked by
Angelina
1,187 views
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the
2 answers
asked by
Ella
1,141 views
Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each definite integral.
(a) Integral of
1 answer
asked by
John
1,134 views
Find the average value of the function f over the interval [-1, 2].
f(x)=1-x^2
4 answers
asked by
Vanessa
948 views
Show that the function F(x) = integral[x to 3x](1/t)dt is constant on the interval (0, +∞).
2 answers
asked by
David
953 views
Evaluate the definite integral
The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.
4 answers
asked by
Z32
889 views
Let R denote the region in the first quadrant bounded above by the line y 1 and below by the curve y -3, 0 3 x < 1. Find the
2 answers
asked by
John
838 views
The following sum
[(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right
1 answer
asked by
Salman
832 views
Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of the region the integral
1 answer
asked by
Robin
798 views
I'm having trouble solving this problem: definite integral (2-t)(sqrt(t)), 0..2
1 answer
asked by
darren
796 views
integrate |sint(t^2)| dt with 0<t<3
1 answer
asked by
Sandy
418 views
If f(x) is odd and the integral from -3 to 7 of f(x) dx is 11, then the integral from 3 to 7 of f(x) dx is __
2 answers
asked by
bobby
735 views
The following sum
[(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right
2 answers
asked by
Salman
778 views
Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
2 answers
asked by
Anonymous
712 views
Given that 2<=f(x)<=3 for -5<=x<=1, use a property of definite integrals to find an interval in which the value of interval
2 answers
asked by
Josh
688 views
Integration of sine square theta from 0 to 2pi
3 answers
asked by
Pooja
656 views
You are given the four points in the plane A = (-3,7), B = (-1,-6), C = (4,6), and D = (6,-1). The graph of the function f(x)
4 answers
asked by
Anonymous
638 views
Express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed
1 answer
asked by
nan
639 views
Evaluate
definite integral of (2x+2)(x^2 + 2x -5)^5dx upper limit 2 and lower limit 1
2 answers
asked by
ann
657 views
The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the
3 answers
asked by
ricky
619 views
Describe the solid whose volume is represented by the following definite integrals.
The integral of 2pi(x-1)e^x from 2 to 7.
2 answers
asked by
Alex
598 views
definite integral of (e^(8x))cosh(8x)dx from 0 to 1/16
-I substitued the definition of cosh in, i.e. (e^(8x) + e^(-8x)/2 but i
2 answers
asked by
gregory
605 views
The following definite integral gives the area of the region between the graph of the function f(x) = Icosx - x^2I (I=modulus),
2 answers
asked by
Alex
589 views
1.evaluate (integral sign)x cos 3x dx
A.1/6 x^2 sin 3x + C B.1/3 x sin 3x -1/2 sin 3x +C C.1/3 x sin 3x +1/9 cos 3x +C << my
3 answers
asked by
anon
561 views
F(x) = integral (-2, x) 3t^2 (cos(t^3) +2) dt
Using u(t) = t^3 , find an equivalent equation which consists of the new definite
3 answers
asked by
...
562 views
Calculate definite integral of
dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I start with the substitution x = sqrt(3)*tan t so: sqrt(x^2 +
3 answers
asked by
mathstudent
565 views
Let the integral ∫ from 4 to 13 f(x) dx = 5, ∫ from 4 to 7 f(x) dx = 1, ∫ from 10 to 13 f(x) dx = 3.
a)Find ∫ from 7 to
4 answers
asked by
Josh
523 views
Use FTC to evaluate a definite integral with basic integrand--
(integral) bottom number 0, top #2 (4x^3+1)dx=
3 answers
asked by
Cassandra
557 views
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Parent Categories (8)
Calculus
Evaluating Integrals, Sub-sub-category: Definite Integrals
Inequalities
Integral Calculus
Integrals
Integration
Limits and Integration
Mathematics (or Calculus)