Question

积分(t^2+5)/t+1求F(x)=定积分0到x^3 of (t^2+5)/(t+1)

Answer 1

F(x)=定积分0到x^3 of (t^2+5)/(t+1) dt

1)F(0)=0

2)F'(x)=3x^2(x^6+5)/(x^3+1)

3)F'(1)=3(1+5)/(1+1)=9