6.1-bo'lim : Funktsiyaning o'rtacha qiymati

1 – 4 masalalar uchun berilgan intervaldagi funksiya uchun \({f_{{\rm{avg}}}}\) ni aniqlang.

1. \(\left[ { - 2,1} \right]\) da \(f\left( x \right) = 8{x^4} - 7{x^3} + 2\)
2. \(\left[ {1,4} \right]\) da \(f\left( x \right) = \left( {4 - x} \right){{\bf{e}}^{{x^{\,2}} - 8x}}\)
3. \(\left[ { - 3,0} \right]\) da \(f\left( x \right) = 6x - \frac{{4x}}{{{x^2} + 1}}\)
4. \(\left[ {0,\frac{\pi }{6}} \right]\) da \(f\left( x \right) = \cos \left( {3x} \right){\left[ {2 + \sin \left( {3x} \right)} \right]^4}\)

1. \(f\left( x \right) = 10 - 4x - 6{x^2}\), \(\left[ {2,6} \right]\)
2. \(\left[ { - 1,1} \right]\) da \(f\left( x \right) = 7{x^2} + 2x - 3\)
3. \(\left[ { - 1,2} \right]\) da \(f\left( x \right) = 9 - 2{{\bf{e}}^{4x + 1}}\)
4. \(f\left( x \right) = 8 - \cos \left( {\frac{x}{4}} \right)\), \(\left[ {0,4\pi } \right]\)