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166 Answered Questions for the topic Integration

Integration

07/28/17

Find the area of the region that is enclosed between y=x^2+1 and y=5 .

IΒ wantΒ solution Find the area of the region that is enclosed between y=x2+1Β and y=5

07/28/17

second dervative of Asin(mx)+Bcos(nx)

second dervative of Asin(mx)+Bcos(nx)
Integration

07/21/17

integrate 0 to a f(x)/(f(x)+f(a-x)) dx

integrate 0 to a f(x)/(f(x)+f(a-x)) dx, where u = a-x, use substituation to solve it
Integration Math Calculus

07/11/17

What M value should I use? (how do i find it)

I was asked to calculate the area between two functions, y=e^x and y=x using midpoint riemann sums from 0-2 with n=4. so i found my answer by subtracting the second sum from the first. The second... more
Integration Math Calculus

05/28/17

Find the volume of the region bounded above by the surface 𝒛 = 𝟐 𝐬𝐒𝐧𝒙 πœπ¨π¬π’š and below by the rectangle 𝑹

Rectangle R = {𝟎 ≀ 𝒙 ≀ 𝝅/𝟐; 𝟎 ≀ π’š ≀ 𝝅/πŸ’} Find the volume of the region bounded above by the surface z = 2 sin x cos y and below by the rectangle R. Thank you so much if you answer this!
Integration Math Calculus

05/28/17

Evaluate the following integral: ∫ln 2 0 ∫ln 5 1 𝒆^(πŸπ’™+π’š) π’…π’šπ’…π’™

the limits of the integrals are ln 2 to 0 and ln 5 to 1 and (2x + y) is to the power of e Thank you do much if you could answer this :)

05/27/17

Evaluate the following integral: ∫1 0 ∫1 0 (π’š / 𝟏+π’™π’š) π’…π’™π’…π’š

I'd be very greatful iff you could answer this question :)
Integration

05/19/17

integration of (8x2 + 3)dx. find the integrals

integration of (8x2 + 3)dx. find the integrals
Integration Calculus Work

04/12/17

A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontal sides of width 100 cm and 50 cm.

A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontalsides of width 100 cm and 50 cm. Assume the length of the trough is 1000 cm. Thedensity of water is = 1000... more

Question is related to line integration, work done by force from book Erwin krezyick advance maths

I cannot understand how to write my function in the form of r(t) Can u please solve these questions and teach me? Q:calculate intgeral of F(r(t)). r'(t) Β  Β  Qno1. F=[xy,xΒ²yΒ²] , C the straight... more
Integration Calculus

03/20/17

How to solve this integral concept question

Explain why the total area of a region is 25/3 units, but the value of the integral for the same interval is 16/3 units.
Integration Math Calculus

03/11/17

Integration

The equation of a curve is y=x4+4x+9. Β  (i.) Β Find the coordinates of the stationary point on the curve and determine its nature. (ii.) Find the area of the region enclosed by the curve, the... more
Integration Calculus

02/23/17

Integratin problem

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = βˆ’1
Integration Derivatives

02/16/17

a(t)=3t^2 + 2t

Take the above function. If x=1, the velocity is 0 and position is -22.Β  FInd v(t) at any time. Find x(t) at any time. Β  I have no clue how to answer this. Absolutely no clue.
Integration Calculus 2

02/04/17

find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]

find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]
Integration Calculus 2

01/29/17

Help on a calculus problem.

Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x^2, y=8βˆ’x^2 and to the right of x=1 about the y-axis.
Integration

01/29/17

find the solid of revolution using disk method between y = x^2, x = y^2

I just need to see how the integral would be set up. From there I ca solve on my own.
Integration Calculus

01/19/17

Integration - AP Calc AB

Use the limit definition to evaluate the definite integral fnInt (2x^3+3)dx lower bound-2 upper bound - 6. (Use right endpoints for c sub-i and equal subintervals
Integration Calculus 2 Tan^8x

12/09/16

Indefinite integral of tan^8x

After taking the integral I have (1/7)tan^7x+C-(1/5)tan^5x-C. I got this by breaking a tan^2x off and converting it into sec^2x-1. My question is what happens to my C when I have C-C?

12/05/16

Is Sin^-1 (x) = - Cos^-1 (x)

In integration, it is given as: Β  Integration of 1/(1-x^2)^(1/2) = sin^-1 (x) Β  and Β  Integration of 1/(1-x^2)^(1/2) = - cos^-1 (x) Β  Does this imply both are equal?
Integration

11/02/16

integration

integrate f(t) cos (n*pi*t)/T/2)dt with limit T/2 and 0
Integration Math Calculus

09/15/16

What's wrong with this integral?

I'm trying to integrate (x)/(d+L-x) respect to x but I get -(d+L)ln(d+L-x) + d + L -x. The correct answer is Β -(d+L)ln(d+L-x) -x. What I did was to change the variable u = d + L -x. Then du= -dx.... more
Integration

08/01/16

integration

We have to find the integration of ∫20160  [arctanx]dx the limits are from 0 to 2016 .  [.] means greastest integer
Integration

06/09/16

Integration of siny dx /v(cosΒ³x)(cos(x-y)) . Lower limit is 0, upper limit p/4

siny dx √(cos³xcos(x-y))
Integration Calculus Limit

05/31/16

Find the limit of logx^2/ ({log x^2 + log (36-12x+x^2)} from 4 to 2. Please help!!

Please help me to find the limit here.Β  Answers will be appreciated. Thanks in advance

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