If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]
If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]
If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx].
If F(x)= (upper: x, lower: 0) ∫√(t3+1)dt then F'(2)=3
∫ecosxdx=e-sinx+C
A) ∫tanxdx=sec2x+C B) ∫cscxdx=ln[cscx-cotx]+C C) ∫cotxdx=ln[sinx]+C
when integrating ∫sin3xdx, a good first move would be to: a) use u-substitution, letting u=sinx, and then integrating ∫u3du b) use u-substitution, letting u=sin2x c)...
∫(top: b, bottom: a) ∫(f(x)/g(x))dx=(top: b, bottom: a)∫f(x)dx÷(top: b, bottom: a)∫g(x)dx true or false?
which of the following expressions are true about the definite integral of sinx on the interval [0,2Π]? A) (top 2Π, bottom 0) ∫sinxdx= (Π →∞)lim (top: Π, bottom: i=0)∑sinxi 2Π B)...
if f(x) is an even function, (above integral sign: 0 below integral sign: -a) ∫f(x)dx= (above integral sign: a below integral sign: 0) -∫f(x)dx true or false?...
∫( (du)/(u(u2-1)1/2) ) = __________________
if I have a graph of f(x) and I want to find (on the top of the integral sign is 5, and on the bottom is -2) ∫f(x)dx what would ∫f(x)dx equal?... (if the graph has points at (-5,2)...
∫ ( (x+3)/√(1-x2) )dx=_____________
A giant spherical snowball is melting such that its radius decreases at a rate of 5 mm per hour. How fast is the surface area changing when the diameter is two meters? How fast is the volume changing...
A particle is released. Its speed t seconds after release is given by v(t)=0.3t^2+8t. How far does the particle travel during the first 4 seconds? How far does the particle travel during...
limit as n goes to infinity Σ [i=1, n] (cosx1/x1) Δx, [3Π,4Π] answer is ∫[3Π,4Π] ... ? Need help understanding!
Express ∫[0,2] x2/3 dx as a limit of the Riemann Sums taking sample points to be right endpoints. ...
limit as n goes to infinity. n Σ i4/n5 on interval [0,1] i=1 Options are: 1 1...
Assume that integral from 0 to 5 f(x)dx=6 and integral from 0 to 8 f(x)dx=4 Find: -integral from 5 to 8 f(x)dx -integral from -5 to 8 f(x)dx ...
Can you help me calculate the integral ∫²1 (2x - 4x3) dx ? And show me the steps to get there? Thanks!
I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows: y=x y=7 y=x2/28 The domain is [0,14] I...