Final answer:
The antiderivative of -2x^5 is -2 * (1/6)x^6 + C, where C is the constant of integration.
Step-by-step explanation:
The antiderivative of -2x^5 is -2 * (1/6)x^6 + C, where C is the constant of integration.
To find the antiderivative, we add 1 to the exponent and divide by the new exponent. So, the antiderivative of x^n is (1/(n+1))x^(n+1).
In this case, the antiderivative of x^5 is (1/6)x^6, and since it is multiplied by -2, the final answer is -2 * (1/6)x^6 + C.