INTEGRALES PRIMITIVAS INMEDIATAS
\[ \int dx=x+c \]
\[ \int x^n \cdot dx= \frac{x^{n+1}}{n+1}+c \hspace{3em} (c\neq -1) \]
\[ \int \frac{dx}{2 \cdot \sqrt{x}}=\sqrt{x}+c \]
\[ \int e^x \cdot dx=e^x+c \]
\[ \int a^x \cdot La \cdot dx=a^x+c \]
\[ \int \frac 1x \cdot dx=L|x|+c \]
\[ \int cosx \cdot dx=senx+c \]
\[ \int senx \cdot dx=-cosx+c \]
\[ \int \frac{1}{cos^2x} \cdot dx=tagx+c \]
\[ \int \frac{1}{\sqrt{1-x^2}} \cdot dx=arcsenx+c \]
\[ \int \frac{1}{1+x^2} \cdot dx=arctagx+c \]
INTEGRALES PRIMITIVAS INMEDIATAS COMPUESTAS
Sea U una funcione que depende de x:
\[ \int K \cdot U \cdot dx=K \cdot \int U \cdot dx \]
\[ \int (K \pm U) \cdot dx= \int U \cdot dx + \int V \cdot dx \]
\[ \int U^n \cdot U' \cdot dx= \frac{U^{n+1}}{n+1}+c \hspace{3em} (c\neq -1) \]
\[ \int a^U \cdot U' \cdot La \cdot dx= a^U+c \]
\[ \int e^U \cdot U' \cdot dx= e^U+c \]
\[ \int \frac{U'}{2 \cdot \sqrt{U}} \cdot dx= \sqrt{U}+c \]
\[ \int \frac{U'}{U} \cdot dx= L|U|+c \]
\[ \int senU \cdot U' \cdot dx= -cosU+c \]
\[ \int cosU \cdot U' \cdot dx= senU+c \]
\[ \int \frac{U'}{cos^2U} \cdot dx= tagU+c \]
\[ \int \frac{U'}{\sqrt{1-U^2}} \cdot dx= arcsenU+c \]
\[ \int \frac{U'}{1+U^2} \cdot dx= arctagU+c \]