April 20, 2014

Search: CALC -- integrals!

Number of results: 5,198

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
Wednesday, May 14, 2008 at 9:42pm by jennifer

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 ...
Sunday, February 20, 2011 at 7:56pm by tom

Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.
Friday, December 7, 2012 at 5:03am by LUNG

It would be great to see how this is done. The prof's way of doing it is way confusing and intricate and I just started learning integrals.
Tuesday, September 8, 2009 at 2:42am by Joe

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.
Monday, January 10, 2011 at 11:06pm by benches

calc ii
I got it. its that the minimum area is found by saying that the function is a straight line at y=12 and the opposite for 18 and finding those areas under the integrals bounds
Friday, September 27, 2013 at 8:13pm by Anonymous

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
Thursday, June 16, 2011 at 4:49am by Alex

[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25
Monday, November 23, 2009 at 1:26am by steve

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
Wednesday, February 29, 2012 at 7:55pm by Mishaka

The integral of y/cos^2y dy = The integral of e*e^x dx + Constant y tany + log(cosy) = e^x*(x-1) + C Use an initial condition to evaluate C Verify the integrals yourself. I used a table of integrals.
Wednesday, March 30, 2011 at 3:54am by drwls

I did: sec^3x/tanx = (1/cos^3 x)(cosx/sinx) = 1/((sinx)(cos^2 x) so I went to my favourite integrator page and got You should realize that when Wolfram says log(...) they really mean...
Monday, October 1, 2012 at 10:16pm by Reiny

Unless you meant 1 + x^4 in the denominator or x^4 in the numerator, that integral is a very difficult one to do. Are you sure you typed g(x) correctly? There is a recursion formula for that integral in my Table of Integrals, but it leads to two new integrals that look even ...
Sunday, February 17, 2008 at 11:25pm by drwls

Calc 2
volume = π∫1/(x^2 + 2x + 5)^2 dx from 0 to 1 messy integration, I don't know how to do it, Wolfram says:
Monday, March 12, 2012 at 12:33am by Reiny

First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cosx e^(1-sinx) dx I was going to substitute u= 1 - sinx, but then i got du = sinxcosx - xdx, so im stuck. Thank you so much!!
Tuesday, October 18, 2011 at 9:02pm by Erica

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
Wednesday, November 6, 2013 at 9:05pm by kyle

One of the integrals you should have in your repertoire of common integrals is ∫lnx = xlnx - x so volume = π∫ lnx dx from x-1 to e^2 = xln - x | from 1 to e^2 = e^2(lne^2) - e^2 - (1ln1 - 1) = e^2(2) - e^2 - 0 + 1 = e^2 + 1
Monday, December 23, 2013 at 10:24am by Reiny

Break it into two integrals, integral (sec^2(x)tan(x))dx and integral(-tan(x))dx. Both can be solved using u substitution.
Wednesday, May 30, 2012 at 8:17pm by Pendergast

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...
Wednesday, March 3, 2010 at 4:24pm by Carmen

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...
Thursday, March 4, 2010 at 2:03am by Carmen

sin^3/cosx = (sinx/cos)(sin^2x) = tanx sin^2 x then same as above
Monday, October 1, 2012 at 10:16pm by Reiny

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.
Tuesday, March 8, 2011 at 1:10pm by Nellie

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 ...
Friday, August 20, 2010 at 10:58pm by TOMO

This is why you'd need to do exercises in integration. To give you a hint, ∫dv/(g-kv) = -log(g-kv)/k This could be inferred from standard integrals: ∫dx/(a+bx) = (1/b)log(a+bx)
Tuesday, September 8, 2009 at 2:42am by MathMate

Calculus - Integrals (part 1)
<<Integral of x sqrt(19x-7)dx >> Let u = 19x -7 dx = (1/19) du x = (1/19)(u + 7) So the integral becomes the sum of two integrals: Integral of (1/19)u^(3/2) du + Integral of (7/19)u^(1/2) du both of which are easy integrals. Remember to change from u back to (19x...
Sunday, March 16, 2008 at 11:22am by drwls

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))
Wednesday, March 23, 2011 at 11:40am by Amy

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
Thursday, July 7, 2011 at 7:52pm by Lan

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
Thursday, July 7, 2011 at 8:51pm by Lan

∫f(x)dx over [a,b] = ∫(g(x)+5)dx over [a,b]. By Addition rule of integrals, ∫(g(x)+5)dx = ∫g(x)dx + ∫5dx. = ∫g(x)dx + 5(b-a)
Sunday, January 2, 2011 at 7:15pm by Marth

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 ...
Saturday, February 9, 2008 at 6:34pm by sarah

No, not true for all integrals. But if you are looking for something that only has magnitude, you have to split the integrals, as the area below the axis is NEGATIVE. On things like vector work (force*dx), the negative would mean work being absorbed, so it might be useful to ...
Friday, December 18, 2009 at 1:56pm by bobpursley

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(...
Sunday, November 24, 2013 at 10:20pm by Kelly

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...
Sunday, December 6, 2009 at 9:59pm by Jenna

separate it into three integrals 19 dx --> 19 x ---> )19*3 - 19*1 2x^3 dx --> (1/2)x^4--> .5(27-1) -20xdx--> -10x^2-->10(1-9)
Monday, November 10, 2008 at 4:38pm by Damon

9(sinx + cosx)/sin2x = 9( sinx/(2sinxcosx) + cosx/(2sinxcosx) = (9/2)(1/cosx + 1/sinx) = (9/2) (secx + cscs) can you take it from there? (the integrals of secx and cscx should be part of your repertoire of basic integrals)
Thursday, March 7, 2013 at 12:22am by Reiny

Calculus - Integrals (part 2)
<<Integral of [(sin(7x)^2)*(sec(7x)^4) dt] >> I assume your differential variable of integration is dx, not dt. I suggest you rewrite sin(7x)^2 as 1 = cos^2(7x). That leaves you with two integrals: one involving sec^4(7x) and the other sec^2(7x) (since cos = 1/sec...
Sunday, March 16, 2008 at 11:22am by drwls

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 ...
Friday, December 18, 2009 at 1:56pm by Jennifer

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 ...
Tuesday, February 26, 2008 at 6:43pm by anonymous

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) ...
Tuesday, December 5, 2006 at 1:21am by david

If you did not have the integrals to derive the equation, I bet you were given an equation like this: Potential Energy of charge close to other charge = PE or U = k Q1 Q2 / R That is all I did with the integrals. That is where the 1/Rend and 1/Rbegin comes from. The work done ...
Saturday, February 23, 2008 at 2:42pm by Damon

∫(a^2 - bx^2) dx As a test, I let a=2 and b=3 and ran it through the Wolfram integrator. Looks at the mess I got with nice numbers.... I have idea. Do you have a table of integrals? See if you can find your pattern.
Tuesday, February 7, 2012 at 7:14pm by Reiny

I do not know how you got 0.7, negative infinity seems to me correct because there is an asymptote at x=5. For improper integrals where the vertical asymptote is between the integration limites, we have to be careful not just evaluate the integral at the two limits. Instead, ...
Friday, October 22, 2010 at 8:34pm by MathMate

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 SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are between -1 and y, for y ...
Wednesday, March 21, 2012 at 10:50pm by Mary

I use this page instead of looking integrals up on tables here is the second one
Sunday, November 14, 2010 at 5:17pm by Reiny

1. break it into three integrals INT (x dx)+int(7x^-2 dx) - int x^-8dx 2.multipy it out break it into three inegrals, and use the power rule. 3. two integrals, power rule.
Sunday, July 25, 2010 at 7:45pm by bobpursley

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 ...
Wednesday, April 18, 2007 at 9:06pm by mikayla

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 ...
Sunday, March 18, 2007 at 10:52pm by M

oops! don't know why I put AP Calc, it's actually pre-calc....
Friday, September 18, 2009 at 8:52pm by muffy

ap calc
OOPS, I meant Pre-Calc not ap Calc sorry
Saturday, October 10, 2009 at 2:45pm by MUFFY

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...
Wednesday, September 12, 2012 at 8:03am by bobby

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: ...
Saturday, January 6, 2007 at 9:05pm by david

much too nasty to work out here, try^3)&random=false
Monday, February 23, 2009 at 11:22am by Reiny

For these kind of integrals you either have to go to tables of integrals or find a suitable computer program I found the integral of √(1+t^2) to be [ln(√(1+t^2) + t)]/2 + [t√(1+t^2)]/2 after evaluating this from 1 to x^3 I got [ln(√(1+x^6) + x^3)]/2 + [...
Wednesday, December 5, 2007 at 3:16am by Reiny

CALC -- integrals!
well, we know the intensity is exponential in time. I = Io e^-kt the half life is 8 days I/Io = .5 = e^-8k ln .5 = -8k -.693147=-8k k = .0866 so I = Io e^-.0866 t now total over 8 days, call it D for dose D = int I dt D = int dt Io e^-.0866 t from t=0 to t = 8 D = (Io/-.0866...
Monday, February 4, 2008 at 2:47pm by Damon

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)
Wednesday, March 23, 2011 at 11:13pm by Amy

my interpretation: (e^-x - 1)/(e^-x+x^2) , you have mis-matched brackets even the usual reliable Wolfram had difficulties with that one the way you typed it, fixing the missing ...
Wednesday, April 9, 2014 at 8:59pm by Reiny

I "cheated" I went to^2+-+x+%2B+2)&random=false
Thursday, February 5, 2009 at 11:53pm by Reiny

integral of (x+6)/5
Thursday, March 3, 2011 at 11:44pm by john2

Help W/ Definite Integrals
You are welcome
Sunday, April 29, 2012 at 4:05pm by Reiny

What is the problem?
Sunday, May 26, 2013 at 11:27am by me

Monday, August 9, 2010 at 8:16am by MTHOMBENI BAFANA

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 ...
Tuesday, October 7, 2008 at 4:22pm by Elizabeth

Calculus (Integrals)
Wednesday, February 15, 2012 at 7:41pm by anne

Calculus (Integrals)
Wednesday, February 15, 2012 at 7:41pm by anne

Can someone help me with this calc problem? lim as x->0 (tan^3 (2x))/(x^3)
Thursday, January 8, 2009 at 4:22am by Nick

Well, I can refer you to the answer:^x^%281%2F3%29&random=false
Sunday, July 31, 2011 at 3:24pm by Damon

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 ...
Tuesday, December 10, 2013 at 9:43am by Anonymous

Calculus - Integrals
What is the integral of arctan x?
Thursday, March 13, 2008 at 9:43pm by Sean

Calculus - Integrals
1) A/x + B/(1+x) 2) A/x + B/x^2 + C/(1+x) I think I'm right....
Monday, March 24, 2008 at 12:53pm by David

Calculus (integrals)
Friday, April 16, 2010 at 6:52pm by Naumair

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...
Thursday, May 19, 2011 at 6:12pm by Jill

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 ...
Sunday, April 29, 2012 at 10:32pm by jasmineT

Calculus - Integrals
Tuesday, March 25, 2008 at 9:43pm by mclovin'

[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?
Saturday, November 21, 2009 at 7:48pm by Z32

Calculus (Integrals)
Actually none of the above
Wednesday, February 15, 2012 at 7:41pm by anne

Calculus - Integrals
Thank you so much. You cleared that up really well. Thank you.
Sunday, March 16, 2008 at 11:22am by Sean

Calculus - Integrals
You now just need to solve for A, B, and C :)
Monday, March 24, 2008 at 12:53pm by Count Iblis

calculus 4
Why use triple integrals? The CM is at the average x, y and z: x = 0, z=0 and y=4.
Tuesday, November 3, 2009 at 3:00pm by drwls

is it because every interval of one the integrals approach 1?
Wednesday, February 24, 2010 at 11:13am by Paul

find value of tan44degrees using integrals
Sunday, January 23, 2011 at 10:03pm by rajni

calculus 2
integrate x^5/(x^2 + sqrt(2)) using a table of integrals
Wednesday, March 30, 2011 at 12:27am by Dana

It's the same as the integral of x^-2 + x^-5 Add the integrals if each term.
Monday, October 31, 2011 at 7:46pm by drwls

Calculus II
Could you show how to do this problem using integrals?
Monday, January 23, 2012 at 8:14pm by Morgan

Diploma Maths
Evaluate the definite integrals [-2,0,(e^2+1),x] + [0,1,2 cos(x),]
Friday, November 2, 2012 at 5:01pm 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.
Thursday, September 10, 2009 at 8:34pm by muffy

Looks like C to me
Wednesday, April 17, 2013 at 11:05am by Steve

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).
Saturday, January 22, 2011 at 2:09pm by John

Calculate the area above y=x^2 and to the right of x=y^2 using integrals.
Wednesday, January 2, 2008 at 3:50pm by Bjorn

Calculus - Integrals
I don't quite get how you did the first one. Mainly the cos(1/2 x)
Friday, March 14, 2008 at 9:00pm by Sean

single variable calculus - indefinite integrals
Oh! I didn't realize it was so simple. Thank you!
Thursday, August 11, 2011 at 7:53pm by Kelly

Evaluate the given indefinite integrals. ∫ (x+2)(2x+3)^1/2
Saturday, January 14, 2012 at 12:11am by Jack

Definite Integrals
Integral [0,pi/2] of sin(x)ln(sinx) x.
Tuesday, June 26, 2012 at 9:25pm by alsa

Evaluate the integral of ∫(2x^2 −3)^2 dx
Monday, May 20, 2013 at 8:31am by Grant

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...
Monday, February 4, 2008 at 2:47pm by anonymous

Try evaluating it as 2 integrals by defining |x| piecewise. |x| = {x, x>=0; -x, x<0}
Sunday, January 10, 2010 at 10:41am by Marth

straightforward power integrals. What do you get? ∫12x^2 dx = 4x^3, etc.
Wednesday, November 21, 2012 at 12:05am by Steve

Hm, I've never done integrals using that method before. I'll check it.
Wednesday, January 9, 2013 at 7:48pm by Kyle

Integrals- Log/Ln
I'm still getting it wrong, so I'm not sure what's with that.. Thank you for your help though!
Friday, May 24, 2013 at 12:52am by Erika

calculus 2
Wolfram agrees with you, they took out a common factor of 63
Friday, September 6, 2013 at 9:30pm by Reiny

Looks like a rather unreasonable integral. Here is what Wolfram says You also appear to have a typo for the upper end of your integral
Saturday, April 14, 2012 at 8:52am by Reiny

Calculus - Integrals
Explained here: If you have trouble understanding this, then the best thing you can do is to replacethe problem by simpler problems and see if you can solve them. E.g. try to integrate the function: 1/[(1+x)x^3] Assuming that you...
Monday, March 24, 2008 at 12:53pm by Count Iblis

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