7.
\(\int\limits^2_0e^{-x+2}d==-e^{-x+2}|^2_0=1+e^2\)
8.
\(\int\limits^2_02^{x+2}dx=\dfrac{2^{x+2}}{ln2}|^2_0=\dfrac{16-4}{ln2}=\dfrac{12}{ln2}\)
9.
\(\int\limits^4_1\left|x-2\right|dx=\int\limits^2_1\left|x-2\right|dx+\int\limits^4_2\left|x-2\right|dx\)
\(=\int\limits^2_1\left(2-x\right)dx+\int\limits^4_2\left(x-2\right)dx=\left(2x-\dfrac{x^2}{2}\right)|^2_1+\left(\dfrac{x^2}{2}-2x\right)|^4_2=\dfrac{5}{2}\)
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