Bestemt integral

Bestemt integral

Regn ut integralet

01(4x2+3)dx\int _{0}^1 (4x^2+3) \, dx
Fasit

133\frac{13}{3}

Løsningsforslag
014x2+3dx=[43x3+3x]01=43+310=43+93=133\int_{0}^{1} 4x^2+3 \, \mathrm{d}x =\left[ \frac{4}{3}x^3+3x \right]_{0}^{1}=\frac{4}{3}+3\cdot1-0=\frac{4}{3}+\frac{9}{3}=\underline{\underline{\frac{13}{3} }}