# Math Help - fundamental theorem of calculus help!!!!!!

1. ## fundamental theorem of calculus help!!!!!!

4
Use the Fundamental theorem of calculus to evaluate the integral ∫ √xdx
1

2. Originally Posted by GabrielKiefer
4
Use the Fundamental theorem of calculus to evaluate the integral ∫ √xdx
1
$\int_1^4 \sqrt{x} \, dx = \int_1^4 x^{1/2} \, dx$.

And you're expected to know the following:

1. $\int x^n \, dx = \frac{x^{n+1}}{n+1} + C$ where $n \neq -1$.

2. If $F(x) = \int f(x) \, dx$ then $\int_a^b f(x) \, dx = F(b) - F(a)$.

3. Originally Posted by GabrielKiefer
4
Use the Fundamental theorem of calculus to evaluate the integral ∫ √xdx
1
The fundamental theorem of calculus tell you that:

$
\int_a^b \frac{df}{dx}\ dx=f(b)-f(a)
$

and you should also know that:

$
\sqrt{x}=x^{1/2}=\frac{d}{dx}\left(\frac{2}{3}x^{3/2}\right)
$