Use substitution to find all antiderivatives of the given function

Question

h'(t) = 32t³ e^{t^4}

Answer 1

u = t^4 integral of e^u du = e^u. + c

du = 4t^3

e^t^4(4t^3) = udu

integral of 32t^3(e^t^4) = integral of 8(4t^3)(e^t^4) = 8e^t^4 + c

Answer 2

The substitution you need is u=t⁴.