Hi, i came across this weird question that didn't look like the usual integration by parts question.... the question was to integrate e^-t^3 dt.. between the limits of infinity and x.

The first line in the answers was the only line that caught me off guard.

It was, f(x)= (integral sign between infinity and x) -1/3t^2 - 3t^2e^-t^3 dt

please could you explain this to me, thank you