Exercise
$\int_3^9\left(9x^3-4x^2+9x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 9x^3-4x^29x from 3 to 9. Expand the integral \int_{3}^{9}\left(9x^3-4x^2+9x\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{3}^{9}9x^3dx results in: 14580. The integral \int_{3}^{9}-4x^2dx results in: -936. The integral \int_{3}^{9}9xdx results in: 360.
Integrate the function 9x^3-4x^29x from 3 to 9
Final answer to the exercise
$14004$