Integrales Inmediatas

Resuelve las siguientes integrales:

– $\int e^{-x} dx$
– $\int (2x+1) e^{x^2+x+1}dx$
– $\int e^{2x+1}dx$
– $\int 5^x dx$
– $\int (6^x)^2dx$

SOLUCIÓN

$\int e^{-x} dx = (-1) \cdot \int (-1) \cdot e^{-x} dx =-e^{-x}+C$

$\int (2x+1) e^{x^2+x+1}dx = e^{x^2+x+1} + C$

$\int e^{2x+1}dx=\frac{1}{2} \cdot \int 2 \cdot e^{2x+1}dx=\frac{1}{2} \cdot e^{2x+1}+C$

$\int 5^x dx =\frac{5^x}{Ln(5)}+C$

$\int (6^x)^2dx = \frac{1}{2} \cdot \int 2 \cdot 6^{2x} dx = \frac{1}{2} \cdot \frac{6^{2x}}{Ln(6)}=\frac{6^{2x}}{2 \cdot Ln(6)}+C$