calculus problems

[tropic geyser]

for the rank order

i m pretty sure its lhs<mid<trap<rhs

not so sure about graph frq

[fading summit]

should be

Question 1 is finding areas

definite integral is the signed area under the graph

but since you're going backwards you have to negate it

$F(-3)=\int_2^{-3}f(t)dt=-\int_{-3}^2 f(t)dt$

[short forge]

flynger

[fading summit]

Use shapes to find the area from -3 to 2

For Question 2, find $F'$ and then plug in $-3$

[short forge]

flynger

[fading summit]

Hint: $\int_a^b f(t)dt = F(b)-F(a)$ so how could you find $F'(x)$?

[short forge]

flynger

[random shell]

Isn't it given f(x)=dF/dx?

The 2nd's just 2 then.

[tropic geyser]

how to find the area of the shapes