Question

Evaluate the integral ∫6e⁵ dx. (Use c for the constant of integration.)

Answer 1

To evaluate the integral ∫6e⁵ dx, we can use the power rule for integrals. The result is e^6 + C.

Step-by-step explanation:

To evaluate the integral ∫6e⁵ dx, we can use the power rule for integrals. The power rule states that if we have an integral of the form ∫x^n dx, the result is (1/(n+1)) * x^(n+1) + C, where C is the constant of integration. In this case, we have the integral ∫6e⁵ dx, so the result is (1/(5+1)) * 6e^(5+1) + C = (1/6) * 6e^6 + C = e^6 + C. Therefore, the integral evaluates to e^6 + C.