Übung: Integrieren Sie!

• $f(x)=1$
• $f(x)=x$
• $f(x)=\frac{1}{a}x$
• $f(x)=x+1$
• $f(x)=e^x$
• $f(x)=e^{2x}$
• $f(x)=e^{2x+1}$
• $f(x)=e^{2x}+1$

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LÖSUNGEN

• $\int 1 \; dx = x +c$
• $\int x \; dx = \frac{1}{2} x^2 + c$
• $\int \frac{1}{a}x \; dx = \frac{1}{a}\int x \; dx = \frac{1}{a} \frac{1}{2} x^2 + c= \frac{x^2}{2a} + c$
• $\int x+1 \; dx = \frac{1}{2}x^2 + x + c$
• $\int e^x \; dx = e^x +c$
• $\int e^{2x} \; dx = \frac{1}{2} e^{2x} +c$
• $\int e^{2x+1} \; dx = \frac{1}{2} e^{2x+1}+c$
• $\int e^{2x}+1 \; dx = \frac{1}{2} e^{2x+1} + x + c $