lovetolearn
New member
- Joined
- Mar 31, 2012
- Messages
- 24
I am having a huge problem understanding these. Are these correct? The letters/numbers that are connected by the ____ lines are either above or below the integral sign. I did not know how to use the math software to type integrals so that is why they may look strange.
What is the relationship between the following functions. (Use any
operation signs, positive/negative signs, equal &/or inequality signs
to make the statements true.) Assume that if f is continuous and
differentiable on (a,b) and F and G are antiderivatives of f.
a) F(x)__< _∫f(x)dx
b) F(x)__ >_G(x)
c) F'(x)__ =_F(x)
d) ∫f'(x)dx_>__f(x)
___b_______a
e) ∫ f(x)___∫ f(x) <
___a_______b
___x________b________b
f) ∫ f(x)_ +__∫ f(x)_ =__∫ f(x) (a ≤ x ≤ b) where x is a number between a
___a________x________a
and b
___x
g) ∫ f(t)dt__>_F(x)
___0
h) f(x)__=_(d/dx) ∫ f(x)dx
What is the relationship between the following functions. (Use any
operation signs, positive/negative signs, equal &/or inequality signs
to make the statements true.) Assume that if f is continuous and
differentiable on (a,b) and F and G are antiderivatives of f.
a) F(x)__< _∫f(x)dx
b) F(x)__ >_G(x)
c) F'(x)__ =_F(x)
d) ∫f'(x)dx_>__f(x)
___b_______a
e) ∫ f(x)___∫ f(x) <
___a_______b
___x________b________b
f) ∫ f(x)_ +__∫ f(x)_ =__∫ f(x) (a ≤ x ≤ b) where x is a number between a
___a________x________a
and b
___x
g) ∫ f(t)dt__>_F(x)
___0
h) f(x)__=_(d/dx) ∫ f(x)dx