Number of results: 90,893

**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*

**Calculus (Definite Integrals - Force) Please Help**

A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil weighing 85 lb per cubic foot. What's the total force on one endof the tank?

*March 12, 2012 by Mishaka*

**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*

**calculus**

evaluate the definite integrals 1 ∫ root(1+3x) dx 0

*May 8, 2016 by Jay*

**Calculus**

definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx

*December 2, 2011 by Stacy*

**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**

Solve these indefinite and definite integrals. [integration sign] 4j-5j^3 dj I got 2j^2 - 5/4j^4... is this my final answer? If j is the variable, for the indefinite integral you have to add a constant. For the definite integral, you have to put in the lower, upper limits. j ...

*December 18, 2006 by Alex*

**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 (Definite Integrals - Fluid Pressure)**

The ends of a water trough have the shape of the region bounded by the graphs of y = x2 and y = 4 with x and y both measured in feet. To what depth must the trough be filled with water so that the force exerted by the water on either end of the trough is 779.423 lb? (Water has...

*March 12, 2012 by Casablanca*

**Calculus - Derivatives**

The approximation to a definite integral using n=10 is 2.346; the exact value is 4.0. If the approximation was found using each of the following rules, use the same rule to estimate the integral with n=30. A) Left Rule B) Trapezoid Rule The section deals with approximation ...

*September 29, 2008 by UMich1344*

**Calculus (Definite Integrals - Work)**

Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its density. A fish tank has a rectangular base of width 2 feet and length 6 feet and sides of height 5 feet. If the tank is filled with water weighing ...

*March 12, 2012 by Mishaka*

**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**

Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve? Antiderivatives is another word for integral. Why area? THink on this...the integral is the sum of all the "heights" times ...

*September 12, 2006 by Jan*

**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**

[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*

**definite integrals**

integrate [sinx + cosx] from 0 to 2pie, where [ ] represents greatest integer function .

*April 26, 2012 by ..*

**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 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 (please with steps and explanations)**

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ...

*April 9, 2015 by Linda*

**Calculus**

In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...

*December 5, 2013 by Rasheda*

**Science**

9. Which one of the following statements is characteristic of liquid water? A. It has a definite shape but not a definite volume. B. It has neither a definite shape nor a definite volume. C. It has a definite volume and a definite shape. D. It has a definite volume but not a ...

*August 21, 2012 by Sara*

**Definite Integrals**

Integral of theta^3*lnsintheta with respect to theta from 0 to pi

*June 26, 2012 by alsa*

**math**

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 sign{-5}^{1} f(x)dx lies.

*November 17, 2015 by Josh*

**math**

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 sign{-5}^{1} f(x)dx lies.

*November 17, 2015 by Josh*

**calculus**

Evaluate lim (1³ +2³ +3³ +…+ n3)/n^4 n →∞ by showing that the limit is a particular definite integral and evaluating that definite integral.

*May 2, 2016 by Jay*

**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**

Can someone explain to me how to do these? Given the following definite integral and n=4 answer the following questions. (Round your answers to six decimal places.) 1. Use the Trapezoidal Rule to approximate the definite integral. Answer: T4= 2. Use the Midpoint Rule to ...

*September 29, 2011 by Patrick*

**calculus**

Please show me how you do this. Thank you. Calculate the definite integral: 2 ∫_ 2x dx 7

*March 5, 2013 by tommy9*

**Calculus**

"Leave the answer as a definite integral, but indicate how it could by evaluated by using the fundamental theorem of calculus." I solved the problem to a definite integral. Proceeding via the fundamental theorem, would involve finding the indefinite integral (or antiderivative...

*July 3, 2012 by Parker*

**calculus review please help!**

1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives the volume when the ...

*March 22, 2017 by Danni*

**Calculus (urgent help)**

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ...

*April 8, 2015 by Linda*

**calculus**

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ...

*April 8, 2015 by Linda*

**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**

If we know that the definite integral from -6 to -3 of f(x) equals 6, the definite integral from -6 to -5 equals 2 and the definite integral from -4 to -3 equals 4 then: What is the definite integral from -5 to -4? I know that this is zero. But then what can we say about the ...

*September 27, 2013 by Anonymous*

**Calculus Help Please Urgent!!!**

Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2 integral a to be (x)dx = (b^2-a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!

*April 30, 2014 by Anonymous*

**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**

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 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**

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 - 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**

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 18, 2016 by Ella*

**calculus**

Assuming that: Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(-ax^2) dx over [-infinity,infinity] I don't know how to approach the new "a" term. I can't use u-substitution, integration by parts, partial fractions, or trig ...

*January 14, 2008 by mathstudent*

**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 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 Area between curves**

Evaluate the definite integral: sqrt(8-2x) lower limit=-7 upper limit=0 I got -(1/3)(8-2x)^(3/2) and it was wrong. Please Help! Thanks in advance!

*November 22, 2013 by Kelly*

**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 (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*

**calculus**

find the definite integral that is equivalent to lim n->infinity of sum over i=(1,n) n/(n^2+i^2) since definite integral of f(x) dx over (a,b) = lim n->infinity sum over i=(1,n) f(a + (b-a)i/n) * (b-a)/n then: f(a + (b-a)i/n) * (b-a)/n = n/(n^2+i^2) rearrange to: so f(a...

*August 18, 2012 by Parker*

**calculus**

using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt

*January 2, 2011 by adela*

**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*

**chemistry**

the state of matter that has neither definite shape nor definite volume is?

*October 7, 2008 by eao*

**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**

Evaluate the definite integral. xe^(–x^2)dx from 0 to 6

*February 11, 2010 by <3*

**Calculus 1**

Evaluate the definite integral: (dx/(x(1+ln(x))) from 1 to e^7.

*November 26, 2010 by Back against the wall*

**calculus**

Evaluate the definite integral:

*March 4, 2012 by osama*

**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*

**CALCULUS WXMAXIMA !!PLEASE!**

y=log(100493/40000*x-1) y=atan(100493/40000*x+1) y=exp(-100493/40000*x+1) Note you will need 2 integrals to represent the area. Approximate the area of the region bounded by the given curves. I can do it with two but kinda struggling over here please helppp!

*March 7, 2012 by Jordan*

**Chemistry**

which substance has a definite shape and a definite volume at STP ? (1)NaCl(aq) (2)Cl2(g) (3)CCl4(l) (4)AlCl3(s) is it 4 because its a solid? Am i right ?

*January 9, 2011 by Jazmin*

**Science**

a__has a definite shape and a definite volume

*January 30, 2014 by Anonymous*

**calculus**

evaluate the definite integr 2 ∫ 5/(3+2x) dx 0

*May 8, 2016 by Jay*

**calculus**

evaluate the definite integr 2 ∫ (x+1/x)² dx 1

*May 8, 2016 by Anonymous*

**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*

**calculus**

an equivalent representation of the definite integral of 3 to 1 2xcos(x^2)dx is

*February 5, 2012 by illy*

**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 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**

Evaluate the definite integral.∫from 0 to 2 x/√(1+2x²)dx

*January 21, 2010 by Tracy*

**Calculus**

find the definite integral that represents the are of the region enclosed by y= 4x-x^2.

*February 21, 2010 by ciara*

**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*

**calculus**

Write the definite integral for the area of the region bounded by the grpahs of y=9-x^2 and y=0

*December 18, 2011 by Celina*

**Calculus**

consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 Evaluate the definite integral: int_{-2}^{3} f(x)\,dx =

*December 1, 2014 by Amber*

**Calculus**

Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0

*November 12, 2015 by Justin*

**Calculus**

Evaluate the definite integral (low) (high) -π/6 ∫ π/6 2sec(x)tan(x) dx

*November 16, 2016 by Eric*

**English**

Please check my work. Correctly identifying the part of speech of each word in the sentences. Example: The boy hit the ball The (definite article) boy (subject) hit (past tense verb) the (definite article) ball (dircet object). 1. Mother gave me a card for my birthday. Mother...

*July 19, 2011 by Pryia*

**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*