FTC fundamental theorem of calculus

[seto6]

FTC "fundamental theorem of calculus

Homework Statement

Homework Equations

FTC

The Attempt at a Solution

well i have not used FTC in a long time this is from my old lecture notes...how do i show that using FTC(the question show above)

 

[Mark44]

The author is using these two ideas:
$$F(x) = \int_a^x f(t)dt$$
$$\Rightarrow F'(x) = \frac{d}{dx}\int_a^x f(t)dt = f(x)$$

Pay close attention to where x is in the limits of integration.

$$\int_a^b f(t)dt = \int_b^a f(t) dt$$

 

[seto6]

i see

thanks mark