## Integration Resources

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... Integration

Integration of 1+×^4/(1-×4)^3/2 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)... 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...... 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 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

... 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

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

I want ans of this question now ...plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz