# Calculus (Definite Integrals - Force) Please Help

92,242 results

**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...

**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...

**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

**Calculus - Definite Integrals Please Help!**

h(x)=∫[-3,sin(x)] (cos(t^3)+t) dt

**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?

**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.

**calculus**

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

**Calculus**

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

**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.

**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 ...

**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

**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...

**Calculus - Integrals**

Consider the region enclosed by the graphs of x=y^2-5 and x=3-y^2 a)Express the area of this region by setting up an integral with respect to x b) Express the area of this region by setting up an integral with respect to y c) Find the area of this region by evaluating one of ...

**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 ...

**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 ...

**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...

**Math (Definite Integrals)**

Sketch the region given by the definite integral. Use geometric shapes and formulas to evaluate the integral (a > 0, r > 0). r ∫ sqrt(r^2 - x^2) dx -r While I recognize that this looks similar to a circle function, I'm not sure how to graph and evaluate this definite ...

**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 ...

**Diploma Maths**

Evaluate the definite integrals ç[-2,0,(e^2+1),x] + ç[0,1,2 cos(x),]

**calculus**

[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25

**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!

**definite integrals**

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

**Applications of definite integrals**

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

**Calculus indefinite integrals**

Evaluate the following indefinite integrals using substitution a) ∫ xsqrt(x^2-7) dx b) ∫ x^(2/3)(1/5x^(5/3)+2)^4 dx

**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 ...

**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(...

**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 ...

**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 ...

**Definite Integrals**

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

**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.

**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.

**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.

**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.

**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))

**Math (Integrals) (Volume of Revolution Setup)**

I am supposed to find the area of the region given two boundaries and two functions revolving about the x axis. x = 0 x = pi/2 y = cos(x/2) y = sin(x/2) Graphing those two functions made me select to use the washer method. Therefore, I set my definite integral to this: pi∫[0...

**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 ...

**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 ...

**calculus**

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

**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...

**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 ...

**calculus please help!!**

Find the range of the function F(x)= definite integral from [-6,x] of sqrt(36-t^2)dt. [0, 36π] [0, 18π]*** [-6, 6] [-6, 0]

**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 ...

**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 ...

**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(...

**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 ...

**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!!!

**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

**MATH**

Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.

**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!!!!!!!

**Calculus integrals**

(e^(3x)-2e^(2x)+(5e^x))/(e^x+1) how do I do this what is the techniques??

**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 ...

**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 ...

**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 ...

**Calculus - Integrals**

What is the integral of arctan x?

**Calculus**

[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?

**Integrals calculus**

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

**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 ...

**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!

**calculus 2**

integrate x^5/(x^2 + sqrt(2)) using a table of integrals

**Calculus**

11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx

**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...

**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.

**Calculus (integrals)**

Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.

**calculus**

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

**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 ...

**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

**chemistry**

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

**calculus**

Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3

**calculus**

Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)

**Calculus**

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

**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

**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

**Calculus**

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

**Calculus 1**

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

**calculus**

Evaluate the definite integral:

**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...

**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!

**Calculus**

What is the connection between improper integrals, Riemann sums, and the integral test?

**Calculus**

Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx

**Calculus integrals**

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

**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?

**Math (Calculus) Integrals**

Evaluate the integral using the following values. 8 ∫ x^3 dx = 1020 2 8 ∫ x dx = 30 2 8 ∫ dx = 6 2 2 ∫ x^3 dx = ? 2

**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 ?

**Science**

a__has a definite shape and a definite volume

**calculus**

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

**calculus**

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

**single variable calculus - indefinite integrals**

integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution

**calculus**

Evaluate the following integrals by using appropriate method : ∫cos ^3 ( 2x-5 )dx help

**Calculus**

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

**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:

**calculus**

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

**College Calculus**

Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand? Thanks!

**Calculus**

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

**Calculus**

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

**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...

**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: ...

**calculus**

evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx

**calculus**

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

**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 =

**Calculus**

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