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Find the indefinite integral. Z e⁻ˣ⁵ \ -5 x⁴ dx Let u=-x⁵ Now differentiate u

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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.

User Bosko
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