6.1-bo'lim: Funktsiyaning o'rtacha qiymati

1 va 2-masalalar uchun berilgan intervaldagi funksiya uchun \({f_{{\rm{avg}}}}\) ni aniqlang.

1. \(f\left( x \right) = 8x - 3 + 5{{\bf{e}}^{2 - x}}\) on \(\left[ {0,2} \right]\) Yechim
2. \(f\left( x \right) = \cos \left( {2x} \right) - \sin \left( {\displaystyle \frac{x}{2}} \right)\) on \(\displaystyle \left[ { - \frac{\pi }{2},\pi } \right]\) Yechim
3. \(\left[ { - 2,3} \right]\) da \(f\left( x \right) = 4{x^2} - x + 5\) uchun \({f_{{\rm{avg}}}}\) ni toping va \(f\left( c \right) = {f_{{\rm{avg}}}}\) uchun \(\left[ { - 2,3} \right]\) da \(c\) qiymati(lar)ini aniqlang. Yechim