Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).

 Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).   Hint: Use the Mean-Value Theorem. (Recall that, if P...

Sep 22 | Paul from New York, NY | 1 Answer | 0 Votes

Integration

Integration of 1+×^4/(1-×4)^3/2

Integration of 1/(xe^x - x) with respect to x

Simple integration Please answer  

Question regarding integral of ln(2x+1) dx

∫ln(2x+1) dx; when I solve for this using u-sub with u = 2x+1, I get 1/2((2x+1)ln(2x+1) - (2x+1)) + C. However, when I solve for it using integration by parts, I get 1/2((2x+1)ln(2x+1))...

Suppose Y=Bi(n,p)

how do I sketch the graph of the variance of Y as a function of p. Also, how do I use calculus to show that the variance is at its largest when p=0.5? Do I do the integral between 0 and 0.5 of np(1-p)...

integrate this: (x^2)/(1+x^6)dx

Please use u-substitution

Double integral - calculating area

Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2.   The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect......

Definite Integral Evaluation

∫30 x2 Sqrt(x+1) dx ?

How to Integrate cos^7

integrate cos7dx

Integration of y dt with limits 0 to t

Integration of y dt with limits 0 to t

integration of e^ax+b

eax+b integration  

volume of this solid

i dont know how to solve this problem : find the volume of the region bounded by x = 1 − y^2 ,x = 2 + y^2, y = −1, y = 1, is revolved about the y-axis ! thank you

Jul 1 | Marcio from West Columbia, SC | 1 Answer | 0 Votes

find the volume of this solid

How do you find the volume of the region bounded by y=x^2-1 , x=2 , y=0 , is revolved about the y-axis? thank you

Jul 1 | Marcio from West Columbia, SC | 1 Answer | 0 Votes

if f(x) is a function and its anti derivative is F(x) then why F(a) - F(b) gives the area under curve of f(x) from a to b. Is there any prove for this.

                                                       ...

Integration of 1 minus cot Square x

Integration of 1- cot2 x

area of region bounded by curve and line in integration

Find where the curve y=x^2-x-1 meets line y=5. Find area of the region bounded by the curve and line y=5      

at a sale on winter clothing, cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00.

find the price of the hats and gloves

Integration of dx/xpower 4 - a power 4

Integration of dx divided by x power 4 minus a power 4 ! 

Partial fractions: [2] / [ (x^2+1)^2 (x+2) ]

Write following rational function in partial fraction form: [2] / [ (x^+1)^2 (x+2) ] Ans: A = -2/25 B = 4/25 C = -10/25 D = 20/25 E = 2/25

using integration find the area of the region bounded by the lines y=2+x ,y=2-x and x=2

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