Teorema fundamental del cálculo

Now Playing:Es fundamental theorem of calculus partii – Example 0a

Si $f$ es continua en el intervalo $\left[ {a,b} \right]$ , entonces:
$\frac{d}{{dx}}\int_a^x f\left( t \right)dt = f\left( x \right)$

Teorema fundamental del cálculo (parte 1)
Evalúa:
1. $\frac{d}{{dx}}\int_{1000}^x \sqrt {5 + 8t\;} dt$
2. $\frac{d}{{dx}}\int_{ - 10}^{{x^6}} \frac{{{{\sin }^2}\left( {5{t^3} - t + 8} \right)}}{{{e^{4t}}}}dt$

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