Final answer:
To find the indefinite integral of e^-x^5 / -5x^4, let u = -x^5 and differentiate both sides with respect to x to find du/dx, which is -5x^4. Then, rewrite the integral in terms of u, which simplifies the integration. The resulting indefinite integral is -∫e^u/du.
Step-by-step explanation:
To find the indefinite integral of e^-x^5 / -5x^4, we can use the substitution method. Let u = -x^5. Now, differentiate both sides with respect to x to find du/dx, which is -5x^4.
Next, rewrite the integral in terms of u: ∫e^u/du. This is now a simple integral to solve.
Finally, we have the indefinite integral of e^-x^5 / -5x^4 as -∫e^u/du.