2 2
20 a)∫(6x⁵)dx=x⁶l= 2⁶-1⁶=64-1=63
1 1
2 2
b)∫(4x-5)⁴dx=(4x-5)⁵/4l= (3⁵-(-1)⁵)/=(243+1)/4=61
1 1
21.V=4t+3t²
4 4
S=∫ (4t+3t²)dt=(2t²+t³)l =2·4²+4³=2·16+64=32+64=96м.
0 0
19.y'=-3x²+3=3(x²-1)=0, x₁=-1, x₂=1
+ max - min +
------------------ - 1-----------------1--------------->y'
y(max)=y(-1)=1-3=-2
y(min)=-1-3=-4
(-1 -2)-max,
(1 -4)-min