Number of results: 3,531

**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**

Evaluate the integral by reversing the order of integration.(2 integrals) 0 to 4 5ex2 dx dy 3y to 12

*October 11, 2016 by Anon*

**Calc**

Find the values of C guaranteed by the mean value theorem for integrals. f(x)=x^3 [0,3]

*November 16, 2016 by James*

**Calc**

Evaluate the integral by reversing the order of integration. (2 integrals) 0 to 8 cube root(y) to 2 8e^(x^4) dx dy

*October 11, 2016 by Anon*

**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*

**Calc**

Find the Value(s) of C guaranteed by the Mean Value Theorem for Integrals for f(x) =x^3 in the interval [0,3]

*November 18, 2016 by Molly*

**Calc 2 Indefinite Integrals**

Can someone help me with these? dx/(x sqrt(x^3 -1) using x^3 = 1/z^2 i.e z^-2/3 it x(third power)- 1 just to be clear. dx/(x(a+bx^n)) using x^n = 1/z i.e. x= z^-1/n Thank You for the help!

*April 22, 2015 by Kate*

**Calc**

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 18, 2016 by Matt*

**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*

**calc**

Sketch the regions represented by the following integrals and evaluate them using geometric formulas. 4 integral 1: 2x+3dx 6 integral -2: lx-1l dx (absolute value of x-1

*November 9, 2016 by Leila*

**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*

**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 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*

**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 - 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**

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*

**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*

**calc**

I have asked a couple questions about surface integrals but I was not able to fully understand what the person who answered was saying and/or their answer was not correct. If someone could please help me with this problem that would be great! evaluate the surface integral ...

*December 2, 2014 by rebecca*

**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 the 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*

**Quick calc question**

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ...

*February 12, 2016 by Mel*

**Quick calc question**

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ...

*February 17, 2016 by Ella*

**Quick calc question**

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ...

*February 23, 2016 by Ella*

**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*

**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*

**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*

**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*

**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*

**Integrals calculus**

7/x^2-8 does it give you 7ln(x^2-8)

*October 15, 2016 by Nuhsj*

**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 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*

**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*

**Integrals**

Evaluate the integral of ∫(2x^2 −3)^2 dx

*May 20, 2013 by Grant*

**integrals**

why cant we just use power rule for this 1/((x^2+4))^2

*October 22, 2016 by byu*

**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*

**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*

**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*

**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*

**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*

**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*

**Integrals**

Find the Integral values of X and Y satisfying the inequality 3x + 5x ¡Ü 15, given that Y >0, Y < 3 and X > 0

*January 10, 2015 by Joel*

**calculus**

Use table of integrals to evaluate the integral of x^4 sinxdx.

*May 6, 2015 by beam*

**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*

**Quick calc question**

Which of the following integrals cannot be evaluated using a simple substitution? the integral of the square root of the quantity x minus 1, dx the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx the integral of the quotient of 1 and the...

*February 17, 2016 by Ella*

**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*

**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*

**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 -...

*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*

**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*

**Math - Antiderivatives/Integrals**

Find the function with derivative f′(x)=e^(9x) that passes through the point P=(0,4/9).

*November 24, 2016 by Kid*

**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 ..*

**math**

integral of y^3/(y^4 +1) dy I don't get how you get (1/4) ln(y^4 +1) out of this. I thought you would do the quotient rule. but is that the same for integrals as it is the derivatice? help!

*November 4, 2014 by sam*

**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*

**Applications of definite integrals**

find the area of the region bounded by the parabola y^2= 16x and its latus rectum

*November 15, 2014 by Tony*

**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*

**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*

**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*