169 Answered Questions for the topic calc
When integrating ∫esinxcosdx, a good choice to use for your u-substitution would be which of the following: a) u=cosxb) u=sinx c) u=esinx
find the general antiderivative of f(X)= 5/2x
a.) 5/2x2-C b.) 5ln[2x]-C c.) none of these %MCEPASTEBIN%
∫ ( t/(√(2t2-1) )dt=________ A) (-1/2)(√(2t2-1))+C B) 4(√(2t2-1))+C C) 8(√(2t2-1)+C D) -( (1)/(4(2t2-1)) )+C E) (1/2)(√(2t2-1))+C
substituting in an integral
If the substitution √(X)=sin y is made in the integrand of: (top of the integral sign is (1/2), bottom of the sign is 0) ∫ ( √(X) )/( √(1-X) )dx, the resulting integral is_____________. A.)... more
chain rule is also know as
The Chain Rule for antiderivatives is also known as the ___________________ rule. -derivative -substitution -product -integral
find area under curve
Using the left-had approximation method with 5 equal subintervals, find the area under the curve f(x)=√(1+x3) on the interval [0,1]. a.) 1.074 b.) 1.156 c.) 2.356 d.) 1.110
solving using integrals
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) (-2,0)... more
trigonometric substitution to evaluate integral
Which trigonometric substitution can be used to evaluate the integral: ∫ ( (dx)/(√(a2+x2)) ) ...? x= a tanθ x=a sinθ x=a secθ
what is the antiderivative?
what would be the antiderivative of f(x)=12x3-9x2+8x-3 I believe it would be 3x4-3x3+4x2-3x+7 , is that correct?
Using the second order derivative equation: ( (d2y)/(dx2) )-9y=o Which of the following would be true? y= e3x y=e-3x y=2e-3x y=xe3x
Word problem using rate of change and integrals
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... more
Prove that the space of real-valued continuous functions defined on the interval [0, 1], C 0 [0, 1], is a vector space over the real scalars,
Prove that the space of real-valued continuous functions defined on the interval [0, 1], C 0 [0, 1], is a vector space over the real scalars, and find a basis for this space
find values of a and k that make this function continuous
f(x)= (x^2-144)/ (x-12) x≠a k x=a
lim of (x+1)/(x+2) when x->3+
lim (x+1)/(x+2) x->3+ how would a + or - on c change anything when solving without a graph?
a florida citrus grower estimates that if 60 orange trees are planted, the average yield per tree will be 400 oranges. The average yield will decrease by 4 oranges per tree for each additional tree... more
Integrate 4/(1+x^2) dx on an integral of 0 to -1
Need help figuring this out.