Exercise
$\int_{-3}^3\left(5x-7\right)\left(x^2-5\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function (5x-7)(x^2-5) from -3 to 3. Rewrite the integrand \left(5x-7\right)\left(x^2-5\right) in expanded form. Expand the integral \int_{-3}^{3}\left(5x^{3}-25x-7x^2+35\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-3}^{3}5x^{3}dx results in: 0. The integral \int_{-3}^{3}-25xdx results in: 0.
Integrate the function (5x-7)(x^2-5) from -3 to 3
Final answer to the exercise
$84$