F(x)=∫xdx
∫(2/√x +4x)dx= 2∫dx/√x +4∫xdx= 4√x+ 2x²+C
F(4)= 4√4+2*16+C= 8+32+C= 40+C
40+C= 2
C= -38
F(x)= 4√x+2x²-38
F(x) = 2x^2 + 4*sqrt(x) + C -
2 = 32 + 8 + C
C = - 38
F(x) = 2x^2 + 4*sqrt(x) - 38
Объяснение:
F(x)=∫xdx
∫(2/√x +4x)dx= 2∫dx/√x +4∫xdx= 4√x+ 2x²+C
F(4)= 4√4+2*16+C= 8+32+C= 40+C
40+C= 2
C= -38
F(x)= 4√x+2x²-38
F(x) = 2x^2 + 4*sqrt(x) + C -
2 = 32 + 8 + C
C = - 38
F(x) = 2x^2 + 4*sqrt(x) - 38
Объяснение: