1. The problem statement, all variables and given/known data differentiate ∫ e^(-x*t^4)dt from -x to x with respect to x. 2. Relevant equations erf(x) = (2/sqrt(π)) ∫e^(-t^2)dt from 0 to x. Leibniz rule. I know that ∫t^2e^(-t^2)dt from 0 to x = (√π/4)*erf(x) - (1/2)*x*e^(-x^2) 3. The attempt at a solution By using Leibniz rule, I get d/dx ∫ e^(-x*t^4)dt from -x to x with respect to x is equal to e^(-x^5) + e^(-x^5) - ∫ t^(4)*e^(-x*t^4)dt from -x to x. I am stuck on this integral above. Trying to think of a nice substitution to write the integral in terms of an error function. Thanks for any tips!