Saturday
December 10, 2016

Search: Calculus - Integrals

Number of results: 16,261

calculus
[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25
November 23, 2009 by steve

Calculus
Write 2.445353535353... as a fraction I'm learning integrals right now and this is part of the exercises under it. Is there a trick to this? Using integrals? Thank you very much!
January 31, 2015 by Alex

Calculus (Definite Integrals)
How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x)) and y=0.03x^2, assuming you could not use the absolute value function? a.) 1 b.) 2 c.) 3 d.) 4 e.) 5
February 29, 2012 by Mishaka

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...
March 3, 2010 by Carmen

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...
March 4, 2010 by Carmen

Calculus AB
Consider the region bounded by the graphs of the equations x=y^2 and y=3x. Set up 2 integrals, one with respect to x and the other with respect to y, both of which compute the volume of the solid obtained by rotating this region about the x-axis and evaluate the integrals.
March 8, 2011 by Nellie

Calculus - evaluating integrals
I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated. Evaluate the integrals: 1.) ∫ (2-2cos^2x) dx 2.) ∫ cot3x dx 3.) ∫ ((e^(sqrt x) / (sqrt x) dx))
March 23, 2011 by Amy

MATH 2B Calculus
Consider the area between the graphs x+4y=14 and x+7=y^2. This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals They ask to use two integrals so i put f(x) from -7 to 2 which is correct but for g(x) i put 2 ...
August 20, 2010 by TOMO

Calculus Please Help4
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 all it can be computed as a sum of two integrals as integral f(x)dx from a,b + integral g(x)dx from b,c I got a=-6 b=3 c=19 but what does f(x)=? g(...
April 25, 2014 by Babak

Calculus Area between curves
Consider the area between the graphs x+6y=8 and x+8=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals where a= , b=, c= and f(x)= g(x)= I found a, but not b or c. I can't seem to figure out f(x) and g(...
November 24, 2013 by Kelly

MATH
Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.
December 7, 2012 by LUNG

Calculus integrals
(e^(3x)-2e^(2x)+(5e^x))/(e^x+1) how do I do this what is the techniques??
October 18, 2016 by byu

Calculus
Integrals: When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis. Would this be for all integrals? What if we just want to "find the integral", without finding ...
December 18, 2009 by Jennifer

Calculus - Integrals
What is the integral of arctan x?
March 13, 2008 by Sean

Calculus
[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?
November 21, 2009 by Z32

Integrals calculus
7/x^2-8 does it give you 7ln(x^2-8)
October 15, 2016 by Nuhsj

calculus 2
integrate x^5/(x^2 + sqrt(2)) using a table of integrals
March 30, 2011 by Dana

Calculus
11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx
November 24, 2014 by Hailey

calculus
evaluate the definite integrals 1 ∫ root(1+3x) dx 0
May 8, 2016 by Jay

Calculus - Integrals
Integral of (dt/[sqrt(t)+25tsqrt(t)]} From 1/75 to 3/25 I'm at a complete loss at what to do.
March 15, 2008 by Sean

Calculus
definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx
December 2, 2011 by Stacy

Calculus (integrals)
Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.
October 29, 2013 by Eve

calculus
Use table of integrals to evaluate the integral of x^4 sinxdx.
May 6, 2015 by beam

Calculus
Hi. How can I integrate 1/(X^3 +1) ? Thank you to anyone who can help me :-) Write 1/(x^3 +1) as 1/[(x+1)(x^2-x+1)] Then use integration by parts, letting dv = dx/(x^2 -x +1) u = 1/(x+1) du = log (x+1) v = (2/sqrt3)arctan[(2x-1)/sqrt3] That should take you to the answer. I ...
March 18, 2007 by M

Calc or Pre calc
I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this. Evaluate 5 (x^3-2x)dx 2
May 14, 2008 by jennifer

Maths
What is the answer for these questions:- 1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x 2) Indefinite Integrals hcu) = sin ^2 (1/8 u) 3) Evaluate x ( 8 - 5 x ^2) dx Thank you
June 16, 2011 by Alex

calculus
Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3
January 31, 2009 by matt

calculus
Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)
February 14, 2010 by ali

Calculus
Find the values of c guaranteed by the mean value theorem for integrals. f(x)= x^3 [0,3]
November 16, 2016 by Ian

math, calculus 2
Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx What is the value of a, b, c...
September 12, 2012 by bobby

Calculus
What is the connection between improper integrals, Riemann sums, and the integral test?
March 26, 2013 by Kendra

Calculus
Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx
January 24, 2014 by Anonymous

Calculus integrals
Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]
September 7, 2016 by byu

Calculus integrals
Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?
September 13, 2016 by byu

single variable calculus - indefinite integrals
integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution
August 11, 2011 by Kelly

calculus
Evaluate the following integrals by using appropriate method : ∫cos⁡ ^3 ( 2x-5 )dx help
December 25, 2011 by Jacob

Calculus
Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]
November 23, 2016 by Anonymous

Calculus - Integrals
The region bounded by y=x^2, x=y^2 is rotated about the line y=-3. The volume of the resulting solid is:
December 2, 2016 by Anonymous

College Calculus
Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand? Thanks!
February 28, 2008 by Matt

Calculus
Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.
June 5, 2015 by Alex

calculus showed work
find the area of the rgion bounded by the graphs of y=x^3-2x and g(x)=-x i drew the graph and half of the graph is above the xaxis and the other half is below the axis. so the integrals i came up with are two because i broke them up and i combined the answers at the end: ...
January 6, 2007 by david

calculus
evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx
December 8, 2011 by Andresito

AP Calculus
how do you evaluate integral of [lxl] from (0,2) , a step function. would you just do it as if it were a absolute value and then do two different integrals?
February 10, 2009 by David

calculus 4
a solid cube, 2 units on a side, is bounded by the planes x=+-1, z=+-1, y=3 and y=5. Find the center of mass using triple integrals.
November 3, 2009 by john

calculus II university
prove the following integrals: a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x) b)sin8xcos3xdx = -1/22cos(11x)-1/10cos(5x)
January 28, 2010 by maria

Calculus
"Evaluate the following indefinite integrals: "S" (3x^2 -2)/(x^3 - 2x + 1)^3 dx" We're practicing the substitution rule, and I know how to do it, but I don't know what/how to substitute in this question. btw: "S" is the integral sign.
April 11, 2010 by Stuck

Calculus
Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution. We are doing the integrals of inverse trig functions, but I cannot get it to work out!
February 5, 2012 by Elaine

Calculus - Integrals
Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the x-axis
December 2, 2016 by Anonymous

calculus1
Set up the integrals that can be used to find the area of the region by integrating with respect to X and Y (the region is bounded by y=3x,y=x,y=4-x) Anyone help me set up the integrals??
June 8, 2015 by karen

Calculus
Consider the area between the graphs x+1y=12 and x+8=y2 . This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals Interval a to b f(x)= i put 12-x but it's wrong Interval c to b f(x)= i put (x-8)^(1/2) but it's ...
April 29, 2012 by jasmineT

statistics
Suppose that fÈ and fX|È are described by simple closed-form formulas. Suppose that È is one-dimensional but X is high-dimensional. a) Suppose that a specific value x of the random variable X has been observed. Is it true that the calculation of the LMS estimate will always...
April 14, 2015 by alec

calculus
set up sums of integrals that can be used to find the area of the region bounded by the graphs of the equations by integrating with respect to y y=square root of x; y= -x, x=1, x=4
May 1, 2012 by dario

calculus
evaluate the following integrals by any means possible: b. integral from -1 to 1 (w/ (w^2+1)) (dw) c. integral from -3 to 0 sqrt(9-x^2)dx
July 3, 2009 by Dora

Calculus
ç1 0 x^2dx=1/3. Use this and the properties of integrals to evaluate ç1 0 10−2x^2dx
May 12, 2013 by Brian

Calculus
1. Evaluate the following integrals (a) 􏰀 4x2 +6x−12 / x3 − 4x dx
May 26, 2013 by Maryam

Calculus
Evaluate the following integrals. Show all the steps in your calculation. a. ç_0^2(3x^3 - x^2 + 2)dx b. ç_0^1(e^2x - x^2)dx c. ç1/(x+3)dx
April 27, 2013 by Hy'le

Calculus
Find the biggest value of c that satisfy the Mean Value Theorem for integrals for f(x)= 1/(x+1)^6 on the interval [0,7]
November 23, 2016 by Anon

Calculus
I need help with integrals and I need help with the problem. Integral of 4/sqrt(x)dx
April 11, 2011 by Leanna

Calculus
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4√x [4, 9]
November 15, 2016 by Eric

calculus
Evaluate the following integrals using the given substitutions. (a) (3x^2 + 10x)dx/(x^3 + 5x^2 + 18 , substitution u = x3 + 5x2 + 18; (b)(14x + 4)cos(7x^2 + 4x)dx,substitution u = 7x^2 + 4x.
May 27, 2014 by Carrolyn

Calculus (math)
Consider the area between the graphs x+3y=35 and x+5=y2. This area can be computed in two different ways using integrals
December 14, 2014 by mia

Calculus (improper integrals)
the integral from 0 to lnx of lnx/(x^1/2) thanks!
March 6, 2008 by Chelsea

calculus
It is known that if m <= f(x) <= M for a <= x <= b, then the following property of integrals is true. m(b-a) <= int_a^b f(x)dx <= M(b-a) Use this property to estimate the value of the given integral. ? <= int_0^3 3/(1+x^2)dx 2 <= ? solve for the ?
January 17, 2009 by ben

Calculus (Integrals)
Evaluate the following expression: d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following options: 2t^3 + 3 56 5 -28.0 None of the above
February 15, 2012 by Mishaka

Calculus
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 5 - x^2 on the interval 0 to sqrt 5 . If so, find the x-coordinates of the point(s) guaranteed by the theorem.
March 2, 2016 by Henry

Calculus (Definite Integrals - Arclength)
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you get (to three decimal places): A.) 6.900 B.) 13.896 C.) 14.093 D.) 13.688 E.) 13.697
March 12, 2012 by Mishaka

calculus
prove the following integrals: a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x) i know i have asked this question before but i am very confused bobpursley, can you please show me the steps of proves. thanks in advanced
January 28, 2010 by maria

Calculus
Hello, Tutors! I am struggling on how to do problems related to finding the volume using integrals. Could you please help me? Any easy-to understand resources? Thank You for all your help. I am thankful for you tutors!!!!!!!
October 25, 2015 by Anonymous

calculus
For large values of n, the Riemann sum 1/n(sin0 + (pi/2n) + sin(2pi/2n) +sin(3pi/2n)+...sin((n-1)pi/2n)) is an approximation for which of the following integrals?
April 7, 2011 by Anonymous

Cal
consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral
July 7, 2011 by Lan

Cal
consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral
July 7, 2011 by Lan

Calculus - Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
March 23, 2008 by David

Calculus - Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
March 24, 2008 by David

CALCULUS 2!!! PLEASE HELP!!
I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of a line y(x) is Length...
October 19, 2006 by Krystal

Calculus (integrals)
Use the following formula for the sum of the cubes of the first integers to evaluate the limit in part (a). 1**3+2**3+...+n**3=((n(n+1))/2)**2 (a)lim n approaches infinity and the sum of n (top) and i=1 (bottom) with (3i/n)^3*(3/n) I don't know how to solve this, can you help ...
April 16, 2010 by Sarah

Calculus
How do I solve this problem without integrals or derivatives? Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second. A. 154.8204 B. 156.1704 C. 159.9436
September 8, 2016 by Anonymous

Calculus
integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...
June 10, 2012 by Brandon

Calculus
I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5-(u^2))du I have a feeling I will be able to find the derivative easily, I'm just having trouble...
May 9, 2009 by Jennifer

Calculus
which of the following integrals results from making the substitution u=x^3 in orer to find (squiggly vertical line)x^2cos(x^3)dx ~cos u du ~u^2 cos u du ~u^(2/3) cos u du1/3 os u du ~3 cos u du
May 11, 2012 by Ken

calculus
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 − 9x on the interval [−1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem
April 16, 2015 by Anonymous

calculus
Calculate Integrals: x= 2 cos â - cos 2 â -1, y= 2 sin â - sin 2 â? I need the procedure. The answer is: 6ð Thank you!
May 14, 2010 by Terry

Calculus (Integrals and Derivatives)
Evaluate the following expression: d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following options: 2t^3 + 3 56 5 -28.0 None of the above Would the result of the expression be 0 or 5???
February 15, 2012 by Mishaka

Calculus
Evaluate the following integrals {e˄x+e˄-x/ e˄x dx
April 4, 2011 by Zukii

ap calculus
Which of the following definite integrals gives the length of y = e^(e^x) between x=0 and x=1? All the answers are preceded by the integral sign from 0 to 1. (a) sqrt[1 + e^(2*(x+e^x))] dx (b) sqrt[1 + e^(4x)] dx (c) sqrt[1 + e^(x+e^x)] dx (d) sqrt[1 + e^(2e^x)] dx (e) sqrt[e...
December 19, 2012 by Jess

Calculus
Can someone help me to evaluate these two integrals? INT dx/(x^2*sqrt(x^2-25)) and INT (from 0 to 1) -5*sqrt(x^2+1) dx
September 22, 2011 by Jason

calculus
how do you calculate the instantaneous rate of change. is that the derivative. also: if f is the antiderivate of (x^2)/(1+x^5 such that f(1)=o then f(4)=? How would i find the integral of that? i don't even know what the first step is to get the answer. also, on this question...
April 13, 2007 by david

vector calculus
Show that the given line integral is independent of path.Then, evaluate the line integral I by finding a potential function f and applying the Fundamental Theorem of Line Integrals. I=ç_{(0,0)}^{(1,2)}(x+y)dx+(x-y)dy
November 28, 2011 by Donny

calculus help work
a force of 1250 pounds compresses a spring 5 inches from its natural length. find the work done in compressing the spring 8 additional inches. f=kd 1250=k5 k=250 then what do i do. i have to do this the calculus way, not the physics way. by using integrals the answer choices ...
January 8, 2007 by david

[Calculus] U-substitution for Integrals
Integrate from 1 to 5 of (3x-5)^5 dx = Integrate from a to b of f(u) du where (I have solved this part) u = 3x-5 du = 3 a = 0 b = 12 The original value of the integral is 165888 via calculator here's my last question, and it has to be in terms of u: f(u) = ? (Again, in terms ...
February 23, 2015 by Ian

calculus
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 − 9x on the interval [−1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. Not quite sure how to do this one at all to be completely honest. ...
January 1, 2016 by Jason

Calculus
integral 1 to 500 (13^x - 11^x) + integral 2 to 500 (11^x - 13^x) dx = (answer: 14.946) I tried typing the integrals in the graphing calculator to get the answer, but it says overflow. Any help on solving this? Thanks!
June 4, 2008 by Anonymous

[Calculus] U-substitution for Integrals
Integral of cos(x)*a^sin(x) + C dx = Integral of cos(x)*sin(x)^a + C dx = Let a be a fixed positive number. I'm clueless is to how to solve for a...
February 23, 2015 by Ian

calculus
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...
February 9, 2008 by sarah

calculus
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...
February 10, 2008 by sarah

Calculus
The function f is continuous on the closed interval [1,7] and has values in the table below x f(x) 1 10 4 30 6 40 7 20 Usinf the subintervals [1,4] [4,6] [6,7] what is the trapezoidal apporx. of the integral from 1 to 7 of f(x)dx? The answer: 160 I tried doing each interval as...
January 11, 2010 by Katie

Calculus
Which of the following integrals represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10? a) pi*∫from (8-1) of (10-y)(2-y^(1/3))dy b) pi*∫ from (1-2) of (81-(10-x^3)^2)dx c)2pi*∫from (1-8) of y(2-y...
January 4, 2016 by Fred

double integrals
Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..lol SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are between -1 and y, for y ...
March 21, 2012 by Mary

Calculus
Find the volume of a pyramid with height h and rectangular base with dimensions b and 2b. Essentially, I'm trying to derive the volume of a pyramid using integrals and a graph and revolving the plane about an axis. I hope that's kind of clear and you guys understand what I'm ...
February 4, 2012 by Anonymous

Calculus
Please help me calculate these integrals. Suppose that Int 0->1 f(t)dt=11 . Calculate each of the following. A. int0->0.25 f(4t)dt= B. int0->0.25 f(1−4t)dt= C. int0.25->0.375 f(3−8t)dt=
September 4, 2011 by Cady

Calculus
Please help me calculate these integrals. Suppose that Int 0->1 f(t)dt=11 . Calculate each of the following. A. int0->0.25 f(4t)dt= B. int0->0.25 f(1−4t)dt= C. int0.25->0.375 f(3−8t)dt=
September 5, 2011 by Cady

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