Bestemt integral 2
\[\int_{0}^{1}\left(e^{x}+3 x^{2}\right) \, \mathrm{d}x \]
Fasit
\(e\)
Løsningsforslag
\[\int_0^1 \left( e^{ x }+2x^2 \right) \,\mathrm{d}x = \left[e^x+ \cancel{ \frac{3}{3} } x^3 \right]_0^1 = e^1+1^3- \left( \underbrace{ e^0 }_{ =1 }+0^3 \right) = e+1- 1 = \underline{\underline{e}} \]