Question

Evaluate the integral. (use c for the constant of integration.)x2 − 25x3

Answer 1

To evaluate the integral of x² - 25x³, we can use the power rule of integration. This rule states that the integral of x^n is equal to (1/n+1) * x^(n+1) + C, where C is the constant of integration. Applying this rule to the integral, we get: (1/3) * x³ - (25/4) * x⁴ + C.

Step-by-step explanation:

To evaluate the integral of x² - 25x³, we can use the power rule of integration. This rule states that the integral of x^n is equal to (1/n+1) * x^(n+1) + C, where C is the constant of integration. Applying this rule to the integral, we get:

(1/3) * x³ - (25/4) * x⁴ + C

Therefore, the integral of x² - 25x³ is (1/3) * x³ - (25/4) * x⁴ + C.