2
a)(F(x))`=4x³/4-15x²/3+4x=x3-5x²+4
(F(x))`=f(x)
b)(F(x))`=-1/x²+3x-sinx
(F(x))`=f(x)
2
a)F(x)=-cosx-1/2*sin2x+3^x/ln3 +C
b)F(x)=5/9*x^9/5-2/3*x√x-lnx+C
3
a)F(x)=3x³/3+C=x³+C
33=8+C
C=25
F(x)=x³+25
b)F(x)=√2sinx+C
3=√2sinπ/4+C
C=3-√2*1/√2=3-1=2
F(x)=√2sinx+2