#### To determine

**To identify:**

The graphs of f, f'&∫0xftdt

#### Answer

c is the graph of f

b is the graph of f'

a is the graph of ∫0xftdt

#### Explanation

**1) Concept:**

i. If f' is be positive then ∫0xftdt is concave

ii. If f' is positive then f is increasing and if f' is negative then f is decreasing

2) **Calculation:**

We have,

ddx∫0xftdt=fx

ddxfx=f'x

When f'>0 then f will increase and ∫0xftdt will be concave upSimilarly when f'<0 then f will decrease and ∫0xftdt will be concave down

Also when f'=0 then f will have a horizontal tangent.So, by observing the graph,

b is the graph of f'

c is the graph of fa is the graph of ∫0xftdt

**Conclusion:**

Therefore,

c is the graph of f

b is the graph of f'

a is the graph of ∫0xftdt