Thursday

October 23, 2014

October 23, 2014

Number of results: 2,570

**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*

**calc**

find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =-1/n sin^n-1xcosx +n-1/n integral sin^n-2 using the formula this is what i got: integral sin^4xdx=-1/4sin^3xcosx+3/4 integral sin^2xdx= -1/2sinxcosx+1/2 integral 1 dx can ...
*February 20, 2011 by tom*

**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*

**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*

**AP Calc AB**

how do you use rules for integrals? in general, but I'm just looking for examples if possible...this is pretty new so I don't have a very good understanding yet. thanks.
*January 10, 2011 by benches*

**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**

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 (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*

**Calc**

First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1-sin²x) dx I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so im stuck. Thank you so much!!
*October 18, 2011 by Erica*

**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*

**brief calc**

Calculate the total area of the region described. Do not count area beneath the x-axis as negative. Bounded by the curve y = square root of x the x-axis, and the lines x = 0 and x = 16 This is under Integrals, i don't know what i'm doing wrong, please help
*November 6, 2013 by kyle*

**calc II**

Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x-1)(x+1) + (Cx+d)(x-1) = x^2 Ax^2 + 2Ax + A + Bx...
*December 6, 2009 by Jenna*

**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*

**calc**

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 - 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*

**Calc 2**

a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v = (x^8)/8 It doesn't ...
*May 3, 2014 by Bae*

**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 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*

**CALC -- integrals!**

2. f(x)=e^x for 0<x<2. Imagine that you have graphed this function in the x-y plane. For each value of x in the domain, erect a square above the curve perpendicular to the x-axis and parallel to the y-z plane where one side runs from the x-axis to the curve. So the ...
*February 26, 2008 by anonymous*

**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*

**calc volumes**

the basse of a solid S is the region enclosed by the graph of y=square root (ln x), the line x=e, and the x-axis. if the cross sections of S perpendicular to the x-axis are squares, then the volume of S is. how do i find the side of the squares. because i got square root(lnx) ...
*December 5, 2006 by david*

**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*

**calc**

find the area between the x-axis and the graph of hte given function over the given interval: y = sqrt(9-x^2) over [-3,3] you need to do integration from -3 to 3. First you find the anti-derivative when you find the anti-derivative you plug in -3 to the anti-derivative and ...
*April 18, 2007 by mikayla*

**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*

**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*

**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*

**Tan^2 Integrals **

I'm having a hard time understanding how to do Integrals involving tan^2. I have two problems: 1. Find the integral of (tan^2 y +1)dy 2. Find the integral of (7tan^2 u +15)du 1. My approach to it is to replace the tan^2 y portion of the problem with sec^2 y -1, but it doesn't ...
*December 10, 2013 by Anonymous*

**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*

**integrals**

integral of (x+6)/5
*March 3, 2011 by john2*

**Studying for Calc**

I have a quiz on derivatives coming up and I really want to do well, but i'm not sure how to go about studying calc. i have no trouble studying for other subjects, but i'm doing poorly in calc and i need to make some changes in my study habits. any suggestions? i usually work ...
*October 7, 2008 by Elizabeth*

**Calc - Evaluating Integrals**

1.) upper bound: pi lower bound: 0 8sinx / sqrt(5-4cosx) dx 2.) upper bound: sqrt 3 lower bound: 0 4x / sqrt(x^2 + 1) dx 3.) upper bound: 1 lower bound: -1 (dx) / (3x-4)
*March 23, 2011 by Amy*

**MATHS**

A CONE WAS CONSTRACTED FROM PLASTIC, HAVE A HEIGHT OF 20cm (PART C). THE LID IS MADE UP OF HEMISPHERE HAVE RADIUS 0F 5cm (PART A) AND PYRAMID HAVE VOLUME OF 81,667cm³. THE LID FITS EXACTLY OVER THE CONE. A) CALC. THE VOL. OF PART A. B) CALC. THE VOL. OF PART C. C) CALC. THE ...
*August 9, 2010 by MTHOMBENI BAFANA*

**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**

Evaluate è R xy dA , where R is the region bounded by x^2 +y^2 <=16 , x>=0 and y>=0
*March 12, 2013 by Tony*

**Pre-Calc/Calc**

Which set of parametric equations corresponds to this rectangular equation? y=2x-(x^2 / 10) A. x=4t, y=4t-(t^2 /10) B. x=2t, y=8t-(4t^2/10) C. x=2t, y=4t-(4t^2/10) D. x=.5t, y=2t-(t^2/10) E. x=t, y=t-(t^2/10)
*April 17, 2013 by Chris Math Hw Help*

**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*

**Calc**

I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient...
*May 19, 2011 by Jill*

**Integrals**

Evaluate the integral of ∫(2x^2 −3)^2 dx
*May 20, 2013 by Grant*

**Calc**

Can someone help me with this calc problem? lim as x->0 (tan^3 (2x))/(x^3)
*January 8, 2009 by Nick*

**help chem!:/**

a) Calc. PH of 0.010 M HF and 0.030 M KF e) calc. PH Zn(OH)2 in wAter
*March 15, 2012 by ALISON*

**mathematics**

find value of tan44degrees using integrals
*January 23, 2011 by rajni*

**calculus 2**

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

**Math**

Evaluate the given indefinite integrals. ∫ (x+2)(2x+3)^1/2
*January 14, 2012 by Jack*

**Diploma Maths**

Evaluate the definite integrals ç[-2,0,(e^2+1),x] + ç[0,1,2 cos(x),]
*November 2, 2012 by sean de la Harpe*

**Pre Calc**

Does this: sqrt 3x-4=(x-4)^2-3 Multiply out to: x^4-16x^3+90^2-211x+173 I then need to put it in the graphing calc and see what the roots are.
*September 10, 2009 by muffy*

**CALC -- integrals!**

Iodine-131 is used to treat hypo-thyroidism since it is preferentially absorbed by the thyroid and typically involves a total radiation dosage of 10,000,000 millirem. Iodine-131 has a half-life of eight days. 1. Set up the appropriate integral to represent the radiation dosage...
*February 4, 2008 by anonymous*

**calculus (limits)**

lim h>0 sqrt(1+h)-1/h not sure how to factor this; not allowed to use L'Hopital's Rule. (that isn't taught at my school until Calc II & I'm in Calc I).
*January 22, 2011 by John*

**Math**

Calculate the area above y=x^2 and to the right of x=y^2 using integrals.
*January 2, 2008 by Bjorn*

**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 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*

**Maths**

what is the answer to this question? Indefinite Integrals fct) = 14 sin (7) + 5e ^ - 15t
*June 14, 2011 by Alex*

**Calc easy**

Having trouble getting the correct solution. The integral of “x squared” in the numerator and “x squared plus x minus 6” in the denominator. S X2 / (X2 + x – 6) dx Thanks! That's a messy one. According to my table of integrals. The answer is -x/6 -(1/72)loge(x^2 +x -6) + S dx...
*February 23, 2007 by Ang*

**Calculus**

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

**Integrals**

Give a geometric description (including a sketch) of the integral 0∫3 2x − 3x dx .
*May 24, 2013 by Mat*

**Calculus**

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

**indefinite integrals**

integral from 1 to 0 dx/x^1/2 i am unsure on how to even start would the limit still go to infintiy?
*August 27, 2009 by sonia*

**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*

**definite integrals**

integrate [sinx + cosx] from 0 to 2pie, where [ ] represents greatest integer function .
*April 26, 2012 by ..*

**College Calculus**

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

**Math**

If (a,-3) is a point on the graph of y=x^2+4x, what is the value of a? so far i have -3=x^2+4x i can do the problem on my graphing calc but we can't use a graphing calc on the test so i need to know how to do it by hand. what do i do next?
*January 20, 2010 by Karen*

**Pre-Calc**

I'm stuck on a pre-calc problem. I need to find y as a function of x, where the constant c is a positive number for In(y-1)+In(y+1)= -x+c express your question as ln[(y-1)(y+1)] = -x+c change that to exponential form e^(-x+c) = (y-1)(y+1) e^(-x+c) = y^2 - 1 y^2 = e^(-x+c) + 1 ...
*May 9, 2007 by Sarah*

**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*

**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*

**Pre-Calc**

Can you show me how to find the rectangular equation of r=2costheta + 3 sin theta All I need is an example to work off I was absent today from Pre-Calc and I have homework to do and no explanation with them-Please help with this one Thank you
*October 3, 2011 by Leah*

**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*

**Math**

Evaluate the following indefinite integrals. ∫4e^6x dx ∫radical8x^8 raised to the third power dx
*June 25, 2008 by Alyssa*

**Math**

Evaluate the following indefinite integrals. Can you show all the steps please! a) ∫xe^x^2+10 dx b) ∫x-2/x-4 dx
*March 15, 2013 by Paul*

**Math**

Evaluate the following indefinite integrals. Show all steps please A) ∫xe^x^2+10 dx b) ∫(1/2x+x)(ln(x)+x^2)^10 dx
*March 16, 2013 by Kevin*

**integrals!!**

Compute the value of the integral using geometry. integral from -4 to 1 of (2x +8)dx
*November 8, 2010 by Jason*

**Calculus**

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

**Definite Integrals**

Integral of theta^3*lnsintheta with respect to theta from 0 to pi
*June 26, 2012 by alsa*

**math**

how do you solve: integral:(x-1)sqrt(x) dx There aren't any limits of integration Add the integrals of x^3/2 dx and -x(1/2) dx. Use the rule that the integral of x^n is x^(n+1)/(n+1), where n is any constant.
*May 7, 2007 by Aaron*

**C code**

Write a .c file named calc that: - Takes arguments from the command line - Solves a simple math problem - Returns the result as an exit status calc.c: //this is the function that gets called when the executable is run. int main(int argc, char * argv[]){ //I've given you the ...
*February 6, 2013 by Nick*

**Help W/ Definite Integrals**

Evaluate the definite integral of (4x^3-x^2+2) from 5 to 2. Can someone please explain what I'm being asked to do? My book is not clear on this concept.
*April 29, 2012 by Tabby*

**Indefinite Integrals**

find the indefinite integral of (1/x)*(e^(-2log[ 3,x])) dx where 3 is base of the log i cannot even figure out where to start :( please help. thank you
*May 24, 2013 by Erika*

**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 (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*

**math**

Which of the following integrals computes the volume of the solid formed by revolving the region bounded by the graph of y = Ln(x), the x-axis, and the line x = 3 about the line x = 3?
*April 27, 2011 by anonymous *

**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*

**chemistry**

liquid heptane C7H16 is completely combusted to produce CO2 and H2O: C7H16 + 11O2 --> 7CO2 + 8H2O the heat combustion for one mole of C7H16 is -4.85*10^-3 CO2 heat of comb. = -393.5 H2O h of c= -285.8 a) calc. the vale of heat of cumbustion for C7H16 in kJ/mol a .0108 mol ...
*March 10, 2010 by hilde*

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